diff --git a/.dockerignore b/.dockerignore
deleted file mode 100644
index 11041c78340067274f8ecb1e9c7ac1953f72b746..0000000000000000000000000000000000000000
--- a/.dockerignore
+++ /dev/null
@@ -1 +0,0 @@
-*.egg-info
diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml
index 63c2a0c8a2a7ea18a82edcc7fd48d2fcb465c224..41c18e7ff07ee1fe04812488f0910a98d6220de2 100644
--- a/.gitlab-ci.yml
+++ b/.gitlab-ci.yml
@@ -82,31 +82,8 @@ anaconda_develop :
only:
- develop
-pages_develop:
- stage: deploy
- script:
- - apt update
- - apt install libgl1 -y
- - conda update -n base -c defaults conda
- - conda env create -f conda/env.yaml
- - source activate bvpy
- - python setup.py develop
- - cd doc
- - make clean && make html
- - mv build/html ../public
- retry:
- max: 2
- when: runner_system_failure
- artifacts:
- paths:
- - public
- dependencies: []
- when: manual
- only:
- - develop
-
-pages_master:
+pages:
stage: deploy
script:
- apt update
@@ -122,11 +99,15 @@ pages_master:
max: 2
when: runner_system_failure
artifacts:
+ expire_in: 1 hour
paths:
- public
dependencies: []
- only:
- - master
+ rules:
+ - if: '$CI_COMMIT_BRANCH == "develop"'
+ when: manual
+ - if: '$CI_COMMIT_BRANCH == "master"'
+ when: on_success
docker_build_deploy:
@@ -138,13 +119,11 @@ docker_build_deploy:
IMAGE_TAG: $CI_REGISTRY_IMAGE:$CI_COMMIT_TAG
script:
- docker login -u $CI_REGISTRY_USER -p $CI_REGISTRY_PASSWORD $CI_REGISTRY
- - docker build -t $IMAGE_TAG .
+ - docker build -t $IMAGE_TAG docker/ --build-arg GIT_BRANCH=master
- docker push $IMAGE_TAG
retry:
max: 2
when: runner_system_failure
dependencies: []
- when: manual
only:
- - master
- tags
diff --git a/.pkglts/pkg_cfg.json b/.pkglts/pkg_cfg.json
index 181b59bedf005582b16c56c64c4d6fc3630235bb..df471d780cb52b996ae74ef7196a2d1280f8f02d 100644
--- a/.pkglts/pkg_cfg.json
+++ b/.pkglts/pkg_cfg.json
@@ -50,8 +50,8 @@
"suite_name": "nose"
},
"version": {
- "major": 0,
- "minor": 9,
+ "major": 1,
+ "minor": 0,
"post": 0
}
}
diff --git a/.pkglts/pkg_hash.json b/.pkglts/pkg_hash.json
index 7bffd65ac87c963db122f962898682ebef2a0c88..6db8e484ecf0e3cacec949584e1675c4c963d95e 100644
--- a/.pkglts/pkg_hash.json
+++ b/.pkglts/pkg_hash.json
@@ -41,14 +41,14 @@
},
"setup.py": {
"pysetup.call": "t30iIuCMd/sWxStR2XNYb8bCBgwanhKt8YYn2VKACyAqL5cKFRUWpVRIpAR+uxXUZ9PYYy2csMmECcONnRZE8w==",
- "pysetup.kwds": "grGHkJOndCtKThB1FZ22ccwpXufgkTqUERle8AWp5APgKFGxChgTOku3yRDVERFQRGax7rZbpmDaB+YpACbe+g=="
+ "pysetup.kwds": "f4aACD9E05zMLYsGLGCmuXYWoJYRxvBWIPnYpSODKQihBS2+4TDmMjPDlKAUsZrUN88JKQhdIOxsqmZMdV0+OQ=="
},
"src/bvpy/__init__.py": {
"src": "L2dZgUBRC5qv3o09+1CbMcgYfQtR1ZNSvP8KlP8REQazZiAQAktALjpCC2ijdxvKPv/tN9KsZrzNW+lZMszSfg==",
"version": "skSCnavrYKIlfN9Mpi+cANbU8gXulaKdlHryvkjkoSSpsag1I66dM+6JHm1aOdmKYU0rZNNgcIamCMbIL7IeMg=="
},
"src/bvpy/version.py": {
- "version": "hPTiMwxaheqzNbMBkH2pN7Dn9A0IGjnX8GGaoSserZ7XNeBlPUTmocHMIJOFC1vKS/X/NFgM+Aui9q/hl7ouZA=="
+ "version": "E3gJH5NVH8Gq6eVM2EvxFIPx/zrc0i6tFJ5siPY/oRsDggNt7nC1VEgvdVHdanJqj/02tChIa/5aS/XoXbrzrg=="
},
"test/conftest.py": {
"test.pytest_addoption": "I/hswVryIEYvZRBcFqkfRBxLP6eZCwZSbQuPclkOkjHw4MApBst5h7H0ejnMMe4bmwHXMXR5DCSxOMj/FcCnjQ==",
diff --git a/AUTHORS.rst b/AUTHORS.rst
index f18caa4db9995110ddb02e51cc2f725c7ad0e0f1..f84e0d75a081691dfa67fc45ae96d5229315033e 100644
--- a/AUTHORS.rst
+++ b/AUTHORS.rst
@@ -18,5 +18,9 @@ Contributors
* Florian <florian.gacon@inria.fr>
* Olivier Ali <olivier.ali@inria.fr>
+* Florian <florian.gacon@gmail.com>
+* GACON Florian <florian.gacon@inria.fr>
+* Christophe Godin <christophe.godin@inria.fr>
+* ALI Olivier <olivier.ali@inria.fr>
.. #}
diff --git a/Dockerfile b/Dockerfile
deleted file mode 100644
index 62774ced6dd0999d0389079e0a2c93c62c05ed81..0000000000000000000000000000000000000000
--- a/Dockerfile
+++ /dev/null
@@ -1,40 +0,0 @@
-# To build:
-# docker build -t bvpy .
-
-# To run:
-# docker run -it bvpy
-
-# To purge build:
-# docker rm $(docker ps -a -q)
-
-# To purge images:
-# docker images -a | grep "pattern" | awk '{print $3}' | xargs docker rmi
-
-FROM continuumio/miniconda3
-
-MAINTAINER Florian Gacon <florian.gacon@inria.fr>
-
-USER root
-
-SHELL ["/bin/bash","--login", "-c"]
-
-COPY src /opt/bvpy/src
-COPY setup.py /opt/bvpy
-COPY README.rst /opt/bvpy
-COPY HISTORY.rst /opt/bvpy
-COPY conda/env.yaml /opt/bvpy
-
-WORKDIR /home/bvpy
-
-ENV CONDA_DIR=/opt/conda
-ENV PATH /opt/conda/envs/bvpy/bin:$PATH
-
-RUN conda init bash && \
- conda update -n base -c defaults conda && \
- conda env create -f /opt/bvpy/env.yaml && \
- echo "source activate bvpy" > ~/.bashrc && \
- source /root/.bashrc && \
- cd /opt/bvpy && python setup.py install && \
- conda clean -afy
-
-CMD ["/bin/bash", "-c""]
diff --git a/README.rst b/README.rst
index 0ed3fda951494ec181ffdc8a4f300e3fc7af336f..bd8d4b518aa95c4f8a94c88f73bc5ea9eedac21f 100644
--- a/README.rst
+++ b/README.rst
@@ -12,9 +12,9 @@ It rely on FEniCS finite element library (https://fenicsproject.org/) and GMSH (
The doc can be found `here <https://mosaic.gitlabpages.inria.fr/bvpy>`_.
-:Coordination: Florian Gacon, Olivier Ali
+:Lead Development: Florian Gacon
-:Contributors: Christophe Godin
+:Coordination: Olivier Ali
:Active team: Inria project team `Mosaic <https://team.inria.fr/mosaic/>`_
@@ -25,3 +25,61 @@ The doc can be found `here <https://mosaic.gitlabpages.inria.fr/bvpy>`_.
:Supported OS: Linux, MacOS
:Licence: `Cecill-C`
+
+:Funding: Inria ADT Gnomon (Christophe Godin)
+
+
+Installation
+------------
+
+You will need conda in order to install ``bvpy``, you can download it `here <https://docs.conda.io/en/latest/miniconda.html>`_.
+
+- From sources:
+
+.. code-block:: bash
+
+ git clone https://gitlab.inria.fr/mosaic/bvpy.git
+ cd bvpy
+ conda env create -f conda/env.yaml -n bvpy-dev
+ conda activate bvpy-dev
+ python setup.py develop --prefix=$CONDA_PREFIX
+
+
+- From anaconda:
+
+.. code-block:: bash
+
+ conda install -c mosaic -c conda-forge bvpy
+
+
+- From docker
+
+.. code-block:: bash
+
+ docker pull registry.gitlab.inria.fr/mosaic/bvpy:<TAG>
+
+Where <TAG> is the version of bvpy you want. You can find all the available version on the `repository <https://gitlab.inria.fr/mosaic/bvpy/container_registry/>`_.
+
+To run the docker container and launch jupyter use:
+
+.. code-block:: bash
+
+ docker run -it -p 8888:8888 registry.gitlab.inria.fr/mosaic/bvpy:<TAG>
+ jupyter notebook --ip 0.0.0.0 --no-browser --allow-root --port 8888
+
+And use the URL on the terminal to open the tutorials.
+
+Test
+----
+
+If you install ``bvpy`` from anaconda install ``nose`` and ``coverage`` inside your environment:
+
+.. code-block:: bash
+
+ conda install -c conda-forge nose coverage
+
+And then run at the root of the project:
+
+.. code-block:: bash
+
+ nosetests -v
diff --git a/conda/env.yaml b/conda/env.yaml
index 458ba13d86c671d9750aeb45dd95d448b240b3eb..5e09a91862b4454fd59d3237da93147f286efb4f 100644
--- a/conda/env.yaml
+++ b/conda/env.yaml
@@ -1,7 +1,7 @@
name: bvpy
channels:
- - defaults
- conda-forge
+ - defaults
dependencies:
- python=3.7
- ipython
diff --git a/conda/meta.yaml b/conda/meta.yaml
index 56c8a881116c8f1f504366c1681c40b1436efb26..2a376a77f3fda8957fdcc195f95738ad913daadf 100644
--- a/conda/meta.yaml
+++ b/conda/meta.yaml
@@ -43,5 +43,5 @@ about:
license: Cecill-C
license_file: LICENSE
summary: Package providing tools to solve BVP (Boundary Value Problem) and IBVP (Initial Boundary Value Problem).
- dev_url: https://gitlab.inria.fr/mosaic/work-in-progress/bvpy
- doc_source_url: https://mosaic.gitlabpages.inria.fr/work-in-progress/bvpy/
+ dev_url: https://gitlab.inria.fr/mosaic/bvpy
+ doc_source_url: https://mosaic.gitlabpages.inria.fr/bvpy/
diff --git a/data/cellcomplex_production.py b/data/cellcomplex_production.py
deleted file mode 100644
index cf9a37200e42e2243d31a06227f00e64d8e9ad15..0000000000000000000000000000000000000000
--- a/data/cellcomplex_production.py
+++ /dev/null
@@ -1,234 +0,0 @@
-import numpy as np
-import numpy.linalg as lng
-
-from cellcomplex.property_topomesh.analysis import compute_topomesh_property
-from cellcomplex.property_topomesh.example_topomesh import circle_voronoi_topomesh
-from cellcomplex.property_topomesh.io import (save_ply_property_topomesh,
- read_ply_property_topomesh)
-
-from bvpy.domains import CustomPolygonalDomain
-from bvpy.utils.visu import plot
-from bvpy.utils.io import save
-
-
-# ##############################################################################
-# ##############################################################################
-# -- Usefull functions
-def cell_normal(points, cell):
- '''compute the normal to a polygonal cell.
-
- Parameters
- ----------
- points : list(list(float))
- The list of the 3D position vectors of the tissue vertices.
- cell : list(int)
- The list of the indices of the considered cell vertex position vectors.
-
- Returns
- -------
- numpy.ndarray
- The vector normal to the cell mean surface.
- N.B.:the norm of the vector gives the surface area.
- '''
- vtx = np.array([points[vid] for vid in cell])
- vtx = np.array([v - vtx.mean(axis=0) for v in vtx])
-
- nrl = [np.cross(v0, v1) for v0, v1 in zip(vtx, vtx[1:] + vtx[:1])]
-
- return np.array(nrl).mean(axis=0)
-
-
-def approx(x, n):
- '''Approximates a float to a given order.
-
- Parameters
- ----------
- x : float
- The number to approximate.
- n : int
- The number of decimal to keep
-
- Returns
- -------
- float
- The approximated version of x with n decimals.
- '''
- return float(f'{x:.{n}f}')
-
-
-def read_tissue_text_file(path):
- '''Extracts a list of vertex positions and of cells from a .txt file.
-
- Parameters
- ----------
- path : str
- The path to the file to read.
-
- Returns
- -------
- list(list(float))
- The list of 3D position vectors, one for every vertex.
- list(int)
- The list of indices of all the vertices surrounding each cell.
- '''
- points = []
- cells = []
-
- with open(path, 'r') as file:
- content = file.readlines()
-
- point_nbr = int(content[0][:-8])
- for line in content[1: point_nbr+1]:
- points.append([float(coord) for coord in line.split(' ')])
-
- for line in content[point_nbr+2:]:
- cells.append([int(pidx) for pidx in line.split(' ')])
-
- return points, cells
-
-
-def extract_points_and_cells(mesh):
- # -- Computing useful properties
- prop_2_compute = {1: ['borders'],
- 2: ['oriented_vertices', 'oriented_borders', 'borders'],
- 3: ['oriented_borders']}
-
- for deg, names in prop_2_compute.items():
- for name in names:
- compute_topomesh_property(mesh, name, degree=deg)
-
- # -- Defining the epithelial cells on the structure
- epithelium = {cid: 0 for cid in mesh.wisps(2)}
-
- for cid, eids in mesh.wisp_property('borders', 2).items():
- for eid in eids:
- if mesh.nb_regions(1, eid) == 1:
- epithelium[cid] = 1
- break
-
- # -- Getting the vertex positions
- points = []
- cells = []
- labels = []
- lbl_2_idx = {}
- for idx, (vid, pos) in enumerate(mesh.wisp_property('barycenter',
- 0).items()):
- points.append(list(pos))
- lbl_2_idx[vid] = idx
-
- # -- Writing cells with their vertex index (in the list of positions)
- for cid, eids in mesh.wisp_property('borders', 2).items():
- oriented_vids = []
-
- all_vids = [list(vids)
- for vids in mesh.wisp_property('borders', 1).values(eids)]
-
- while len(all_vids) > 0:
- if len(oriented_vids) == 0:
- oriented_vids += all_vids.pop(0)
- else:
- for vids in all_vids:
- if oriented_vids[-1] in vids:
- idx_2_rm = all_vids.index(vids)
- vids.pop(vids.index(oriented_vids[-1]))
- oriented_vids += vids
- break
-
- all_vids.pop(idx_2_rm)
-
- assert(oriented_vids[0] == oriented_vids[-1])
- oriented_vids.pop()
- cells.append(list(map(lambda x: lbl_2_idx[x], oriented_vids)))
- labels.append(epithelium[cid])
-
- # -- Harmonizing the orientation of all cells.
- oriented_cells = []
- for cell in cells:
- if cells.index(cell) == 0:
- oriented_cells.append(cell)
- else:
- vids_2_switch = [[idx0, idx1]
- for cell in oriented_cells
- for idx0, idx1 in zip(cell, cell[1:]+cell[:1])]
-
- reversed = False
- for idxs in zip(cell[:-1], cell[1:]):
- if list(idxs) in vids_2_switch:
- oriented_cells.append(cell[::-1])
- reversed = True
- break
-
- if not reversed:
- oriented_cells.append(cell)
-
- cells = oriented_cells
-
- return points, cells, labels
-
-
-def save_points_and_cells(points, cells, label=None, path='cvt.txt'):
- with open(path, 'w') as file:
- for name, lst in zip(['points', 'cells'], [points, cells]):
- file.write(f'{len(lst)} {name}:\n')
- for line in lst:
- file.write(' '.join([str(elmt) for elmt in line])+'\n')
-
- if label is not None:
- assert len(label) == len(cells)
- file.write(f'{len(label)} cell labels:\n')
- for line in label:
- file.write(f'{line} \n')
-
-
-# ##############################################################################
-# ##############################################################################
-folder_path = '/Users/oali/Documents/Work/Research/Devlp/bvpy/data/'
-
-# -- Creating a "tissue-like" property topomesh.
-cvmsh = circle_voronoi_topomesh(size=2, voxelsize=1., circle_size=50.,
- z_coef=1)
-
-
-# -- Opening an existing PropertyTopomesh object to generate the lists
-spmsh = read_ply_property_topomesh(folder_path + 'sepal_slice.ply')
-
-
-# -- Generating the points, cells and labels lists
-# points, cells, labels = extract_points_and_cells(cvmsh)
-points, cells, labels = extract_points_and_cells(spmsh)
-
-
-# -- Recording these list in a text file
-save_points_and_cells(points, cells, labels,
- path=folder_path+'flat_sepal.txt')
-
-
-# ##############################################################################
-# ##############################################################################
-# -- Instancing the CustomPolygonalDomain class from the lists computed above.
-tissue = CustomPolygonalDomain(points, cells, cell_size=.1)
-
-save(tissue, folder_path+'flat_sepal')
-plot(tissue.mesh)
-
-
-# ##############################################################################
-# ##############################################################################
-# -- A new orientation algorithm given only a list of points
-
-points = [[1, 0, 0],
- [0, 0, 0],
- [1, 1, 0],
- [0, 1, 0]]
-
-points = [np.array(p) for p in points]
-oriented_points = [points.pop(0)]
-while len(points) > 0:
- dist = list(map(lambda x: lng.norm(x - oriented_points[-1]), points))
- if len(oriented_points) < 2:
- oriented_points.append(points.pop(dist.index(min(dist))))
- else:
-
-print(oriented_points)
-
-# End of cellcomplex_production.py
diff --git a/data/meristem_guillaume.ply b/data/example_meristem.ply
similarity index 100%
rename from data/meristem_guillaume.ply
rename to data/example_meristem.ply
diff --git a/data/flat_sepal.txt b/data/flat_sepal.txt
deleted file mode 100644
index 9623928625b03d2de12b881bcbd4ca8c23e9115b..0000000000000000000000000000000000000000
--- a/data/flat_sepal.txt
+++ /dev/null
@@ -1,264 +0,0 @@
-178 points:
-4.0049884576614225 4.670100204869184 0.0
-4.364180602990065 4.756017365330563 0.0
--0.5219070037095376 0.8918319784754564 0.0
--2.067062898472812 2.2065136074962557 0.0
--3.2610453398767776 -2.954320889893978 0.0
--2.8381276119218186 -2.871111261930172 0.0
--4.017626488591007 -4.071240618804899 0.0
-3.805978088371884 4.575353307622968 0.0
--4.3680517703138335 -2.050806680441067 0.0
--2.344072597445491 -2.14042258745217 0.0
--1.0670808469873456 -2.1051308196563148 0.0
--0.7641452922530866 -1.1399431964447617 0.0
--2.9588377699758497 2.8996381955642647 0.0
--4.680902142986102 4.21630400214604 0.0
-2.849242514852083 -2.5369438873226327 0.0
-5.06543507412456 2.8938386390395956 0.0
-4.0693528091039814 2.9888669611593173 0.0
-3.832517908231672 2.779644829833021 0.0
-4.693791793584875 4.751506368597097 0.0
-5.814964515255001 3.8874688998673115 0.0
-6.0739092619324975 3.8156053781787134 0.0
--0.2509295956939556 -5.449596087522463 0.0
--1.8938216014325107 -3.957465539171627 0.0
--2.274219693998839 -5.01033740589429 0.0
-2.6790774173976195 -3.229676020421569 0.0
-1.3577573372846983 -3.805380745067809 0.0
-3.444055450599574 -4.3051254410400865 0.0
--2.6973341836699927 4.131599336676939 0.0
--2.7860624199054906 4.2068524247120695 0.0
--3.640275897368591 4.533302866948526 0.0
--3.2192088152088445 4.4461616523155865 0.0
-2.7599943891673937 4.648218978557559 0.0
-2.4600377479852265 2.9616633384995725 0.0
--4.0131271341173775 4.512067648787386 0.0
--4.3759695678727155 4.3992226626512885 0.0
-0.4269465637735055 -0.031230997306454983 0.0
-0.19168115865100677 -0.8335894091115615 0.0
-0.9734725946901014 -1.8277005209856159 0.0
-2.013899839186301 -1.5615484112196605 0.0
--7.208708322440208 1.9103014763463362 0.0
--7.1091320436013286 2.248124495556621 0.0
--6.964453500945743 2.5023708097943764 0.0
--6.805071351104775 2.688007611869335 0.0
--2.5917516707325428 -0.9450999402466957 0.0
--2.240234821269553 1.1891927889600404 0.0
--1.437679058135947 0.4791797382348724 0.0
--1.5785082917226896 -0.3553082760672699 0.0
-3.8980341405444805 -2.1822588640073004 0.0
-4.81138168999284 -3.02341996365148 0.0
-6.695107338977966 -0.0044897737266648835 0.0
-6.711016793236207 -0.4169157463150529 0.0
-6.8794841766495844 2.128536476764564 0.0
-6.434149814212221 3.6081057737681577 0.0
-5.61449944241026 1.9994554221803433 0.0
-6.662839054096646 0.13585992543257575 0.0
-7.06143903722024 1.2656529230103333 0.0
-6.822191350860355 1.9802567433358467 0.0
-6.961106926075551 1.7101344932178835 0.0
-3.924582351845503 1.2373924634342655 0.0
-4.790241383541415 -0.8480419664453794 0.0
-4.138705804432402 -1.0560872490762976 0.0
-5.260881547263874 0.46003016298350063 0.0
-5.025257507294311 0.8875720040528002 0.0
-5.265189724971143 4.5441914273135815 0.0
-4.991896838580586 4.678600472975234 0.0
--4.3660239821379205 -3.9846313941285403 0.0
--4.7322899104660285 -3.7821795065184522 0.0
--5.319253577451699 -2.737951106984555 0.0
--5.385120320409524 -2.7115075675354734 0.0
--3.179317691368656 -4.9103275875513965 0.0
--3.4924506500076977 -4.732793301281133 0.0
--3.989200727855965 -4.134421728022172 0.0
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diff --git a/data/test.ply b/data/test.ply
deleted file mode 100644
index e023a45f90012cbd6684d0a643ee58b2b8574112..0000000000000000000000000000000000000000
--- a/data/test.ply
+++ /dev/null
@@ -1,640 +0,0 @@
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diff --git a/data/test_flat.ply b/data/test_flat.ply
deleted file mode 100644
index 8513b06b536d572d65307b7fe4d7de7de8c300e9..0000000000000000000000000000000000000000
--- a/data/test_flat.ply
+++ /dev/null
@@ -1,640 +0,0 @@
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diff --git a/data/test_medium.ply b/data/test_medium.ply
deleted file mode 100644
index 4a7bb6c50fd2ad69b5ddf33cb635a28c281e411e..0000000000000000000000000000000000000000
--- a/data/test_medium.ply
+++ /dev/null
@@ -1,640 +0,0 @@
- ply
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diff --git a/data/test_mesh_OBJ.obj b/data/test_mesh_OBJ.obj
deleted file mode 100644
index 996df9fc89c4eda00e7384abdfc210e2ae580603..0000000000000000000000000000000000000000
--- a/data/test_mesh_OBJ.obj
+++ /dev/null
@@ -1,5810 +0,0 @@
-# Blender v2.78 (sub 0) OBJ File: '170511_apicalHook_test_3.mtl.blend'
-# www.blender.org
-mtllib 170511_apicalHook_test_32.mtl.mtl
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-vn -0.2264 0.8816 0.4141
-vn -0.3047 0.7725 0.5571
-vn -0.3022 -0.6340 0.7119
-vn -0.2480 -0.7727 0.5844
-vn -0.1843 -0.8817 0.4343
-vn 0.1133 -0.9569 -0.2676
-vn 0.1837 -0.8817 -0.4346
-vn 0.2470 -0.7727 -0.5848
-vn 0.3007 -0.6340 -0.7125
-vn 0.3427 -0.4710 -0.8128
-vn 0.3716 -0.2900 -0.8819
-vn 0.3716 0.2900 -0.8819
-vn 0.3427 0.4710 -0.8128
-vn 0.3004 0.6340 -0.7126
-vn 0.3007 0.6340 -0.7125
-vn 0.2470 0.7727 -0.5848
-vn 0.1837 0.8817 -0.4346
-vn -0.1843 0.8817 0.4343
-vn -0.2480 0.7727 0.5844
-vn -0.3022 0.6340 0.7119
-vn -0.2293 -0.2901 0.9291
-vn 0.2109 0.4711 -0.8565
-vn 0.1518 0.7728 -0.6162
-vn -0.2114 0.4712 0.8564
-usemtl None
-s off
-f 251//1 1//1 2//1
-f 252//2 2//2 3//2
-f 253//3 3//3 4//3
-f 254//4 4//4 5//4
-f 255//5 5//5 6//5
-f 256//6 6//6 7//6
-f 257//7 7//7 8//7
-f 250//8 161//8 1//8
-f 7//9 16//9 8//9
-f 1//10 161//10 9//10
-f 1//11 10//11 2//11
-f 2//12 11//12 3//12
-f 3//13 12//13 4//13
-f 4//14 13//14 5//14
-f 5//15 14//15 6//15
-f 6//16 15//16 7//16
-f 12//17 21//17 13//17
-f 13//18 22//18 14//18
-f 15//19 22//19 23//19
-f 15//20 24//20 16//20
-f 9//21 161//21 17//21
-f 9//22 18//22 10//22
-f 10//23 19//23 11//23
-f 11//24 20//24 12//24
-f 17//25 26//25 18//25
-f 18//26 27//26 19//26
-f 19//27 28//27 20//27
-f 20//28 29//28 21//28
-f 21//29 30//29 22//29
-f 22//30 31//30 23//30
-f 24//31 31//31 32//31
-f 17//32 161//32 25//32
-f 29//33 38//33 30//33
-f 30//34 39//34 31//34
-f 32//35 39//35 40//35
-f 25//36 161//36 33//36
-f 25//37 34//37 26//37
-f 26//38 35//38 27//38
-f 27//39 36//39 28//39
-f 29//40 36//40 37//40
-f 33//41 42//41 34//41
-f 34//42 43//42 35//42
-f 35//43 44//43 36//43
-f 37//44 44//44 45//44
-f 37//45 46//45 38//45
-f 39//46 46//46 47//46
-f 39//47 48//47 40//47
-f 33//48 161//48 41//48
-f 45//49 54//49 46//49
-f 47//50 54//50 55//50
-f 47//51 56//51 48//51
-f 41//52 161//52 49//52
-f 41//53 50//53 42//53
-f 42//54 51//54 43//54
-f 44//55 51//55 52//55
-f 44//56 53//56 45//56
-f 50//57 59//57 51//57
-f 51//58 60//58 52//58
-f 52//59 61//59 53//59
-f 53//60 62//60 54//60
-f 55//61 62//61 63//61
-f 55//62 64//62 56//62
-f 49//63 161//63 57//63
-f 49//64 58//64 50//64
-f 63//65 70//65 71//65
-f 63//66 72//66 64//66
-f 57//67 161//67 65//67
-f 58//68 65//68 66//68
-f 58//69 67//69 59//69
-f 59//70 68//70 60//70
-f 61//71 68//71 69//71
-f 61//72 70//72 62//72
-f 67//73 74//73 75//73
-f 67//74 76//74 68//74
-f 68//75 77//75 69//75
-f 69//76 78//76 70//76
-f 71//77 78//77 79//77
-f 71//78 80//78 72//78
-f 65//79 161//79 73//79
-f 65//80 74//80 66//80
-f 79//81 86//81 87//81
-f 79//82 88//82 80//82
-f 73//83 161//83 81//83
-f 73//84 82//84 74//84
-f 74//85 83//85 75//85
-f 75//86 84//86 76//86
-f 77//87 84//87 85//87
-f 77//88 86//88 78//88
-f 83//89 92//89 84//89
-f 84//90 93//90 85//90
-f 85//91 94//91 86//91
-f 87//92 94//92 95//92
-f 87//93 96//93 88//93
-f 81//94 161//94 89//94
-f 81//95 90//95 82//95
-f 82//96 91//96 83//96
-f 95//97 104//97 96//97
-f 89//98 161//98 97//98
-f 89//99 98//99 90//99
-f 90//100 99//100 91//100
-f 92//101 99//101 100//101
-f 93//102 100//102 101//102
-f 93//103 102//103 94//103
-f 95//104 102//104 103//104
-f 100//105 109//105 101//105
-f 101//106 110//106 102//106
-f 103//107 110//107 111//107
-f 103//108 112//108 104//108
-f 97//109 161//109 105//109
-f 97//110 106//110 98//110
-f 99//111 106//111 107//111
-f 99//112 108//112 100//112
-f 105//113 161//113 113//113
-f 105//114 114//114 106//114
-f 106//115 115//115 107//115
-f 107//116 116//116 108//116
-f 108//117 117//117 109//117
-f 109//118 118//118 110//118
-f 111//119 118//119 119//119
-f 111//120 120//120 112//120
-f 116//121 125//121 117//121
-f 117//122 126//122 118//122
-f 119//123 126//123 127//123
-f 119//124 128//124 120//124
-f 113//125 161//125 121//125
-f 113//126 122//126 114//126
-f 115//127 122//127 123//127
-f 116//128 123//128 124//128
-f 121//129 130//129 122//129
-f 122//130 131//130 123//130
-f 124//131 131//131 132//131
-f 125//132 132//132 133//132
-f 125//133 134//133 126//133
-f 127//134 134//134 135//134
-f 127//135 136//135 128//135
-f 121//136 161//136 129//136
-f 133//137 142//137 134//137
-f 135//138 142//138 143//138
-f 135//139 144//139 136//139
-f 129//140 161//140 137//140
-f 129//141 138//141 130//141
-f 130//142 139//142 131//142
-f 132//143 139//143 140//143
-f 133//144 140//144 141//144
-f 137//145 146//145 138//145
-f 138//146 147//146 139//146
-f 139//147 148//147 140//147
-f 141//148 148//148 149//148
-f 141//149 150//149 142//149
-f 143//150 150//150 151//150
-f 143//151 152//151 144//151
-f 137//152 161//152 145//152
-f 149//153 158//153 150//153
-f 151//154 158//154 159//154
-f 152//155 159//155 160//155
-f 145//156 161//156 153//156
-f 145//157 154//157 146//157
-f 146//158 155//158 147//158
-f 148//159 155//159 156//159
-f 149//160 156//160 157//160
-f 154//161 164//161 155//161
-f 156//162 164//162 165//162
-f 157//163 165//163 166//163
-f 157//164 167//164 158//164
-f 159//165 167//165 168//165
-f 159//166 169//166 160//166
-f 153//167 161//167 162//167
-f 153//168 163//168 154//168
-f 168//169 175//169 176//169
-f 168//170 177//170 169//170
-f 162//171 161//171 170//171
-f 162//172 171//172 163//172
-f 163//173 172//173 164//173
-f 165//174 172//174 173//174
-f 166//175 173//175 174//175
-f 166//176 175//176 167//176
-f 173//177 180//177 181//177
-f 174//178 181//178 182//178
-f 174//179 183//179 175//179
-f 176//180 183//180 184//180
-f 176//181 185//181 177//181
-f 170//182 161//182 178//182
-f 171//183 178//183 179//183
-f 171//184 180//184 172//184
-f 184//185 193//185 185//185
-f 178//186 161//186 186//186
-f 179//187 186//187 187//187
-f 179//188 188//188 180//188
-f 181//189 188//189 189//189
-f 181//190 190//190 182//190
-f 182//191 191//191 183//191
-f 184//192 191//192 192//192
-f 189//193 196//193 197//193
-f 190//194 197//194 198//194
-f 190//195 199//195 191//195
-f 192//196 199//196 200//196
-f 192//197 201//197 193//197
-f 186//198 161//198 194//198
-f 187//199 194//199 195//199
-f 187//200 196//200 188//200
-f 200//201 209//201 201//201
-f 194//202 161//202 202//202
-f 194//203 203//203 195//203
-f 195//204 204//204 196//204
-f 197//205 204//205 205//205
-f 197//206 206//206 198//206
-f 198//207 207//207 199//207
-f 200//208 207//208 208//208
-f 206//209 213//209 214//209
-f 206//210 215//210 207//210
-f 208//211 215//211 216//211
-f 208//212 217//212 209//212
-f 202//213 161//213 210//213
-f 202//214 211//214 203//214
-f 204//215 211//215 212//215
-f 205//216 212//216 213//216
-f 210//217 161//217 218//217
-f 210//218 219//218 211//218
-f 211//219 220//219 212//219
-f 212//220 221//220 213//220
-f 214//221 221//221 222//221
-f 214//222 223//222 215//222
-f 216//223 223//223 224//223
-f 216//224 225//224 217//224
-f 222//225 229//225 230//225
-f 222//226 231//226 223//226
-f 224//227 231//227 232//227
-f 225//228 232//228 233//228
-f 218//229 161//229 226//229
-f 218//230 227//230 219//230
-f 219//231 228//231 220//231
-f 220//232 229//232 221//232
-f 227//233 234//233 235//233
-f 228//234 235//234 236//234
-f 229//235 236//235 237//235
-f 230//236 237//236 238//236
-f 230//237 239//237 231//237
-f 232//238 239//238 240//238
-f 232//239 241//239 233//239
-f 226//240 161//240 234//240
-f 238//241 247//241 239//241
-f 240//242 247//242 248//242
-f 240//243 249//243 241//243
-f 234//244 161//244 242//244
-f 234//245 243//245 235//245
-f 235//246 244//246 236//246
-f 236//247 245//247 237//247
-f 238//248 245//248 246//248
-f 243//249 252//249 244//249
-f 244//250 253//250 245//250
-f 246//251 253//251 254//251
-f 246//252 255//252 247//252
-f 248//253 255//253 256//253
-f 248//254 257//254 249//254
-f 242//255 161//255 250//255
-f 243//256 250//256 251//256
-f 258//257 321//257 289//257
-f 259//258 290//258 258//258
-f 260//259 291//259 259//259
-f 261//260 292//260 260//260
-f 262//261 293//261 261//261
-f 263//262 294//262 262//262
-f 264//263 295//263 263//263
-f 265//264 296//264 264//264
-f 266//265 297//265 265//265
-f 267//266 298//266 266//266
-f 268//267 299//267 267//267
-f 269//268 300//268 268//268
-f 732//269 727//269 726//269
-f 304//270 731//270 303//270
-f 303//270 640//270 641//270
-f 304//270 733//270 732//270
-f 731//271 639//271 640//271
-f 732//271 725//271 731//271
-f 725//272 638//272 639//272
-f 726//273 674//273 725//273
-f 278//274 310//274 277//274
-f 311//275 278//275 279//275
-f 312//276 279//276 280//276
-f 313//277 280//277 281//277
-f 314//278 281//278 282//278
-f 315//279 282//279 283//279
-f 316//280 283//280 284//280
-f 317//281 284//281 285//281
-f 318//282 285//282 286//282
-f 319//283 286//283 287//283
-f 320//284 287//284 288//284
-f 321//285 288//285 289//285
-f 290//286 353//286 321//286
-f 291//287 322//287 290//287
-f 292//288 323//288 291//288
-f 293//289 324//289 292//289
-f 294//290 325//290 293//290
-f 295//291 326//291 294//291
-f 296//292 327//292 295//292
-f 297//293 328//293 296//293
-f 298//294 329//294 297//294
-f 299//295 330//295 298//295
-f 300//296 331//296 299//296
-f 269//297 332//297 300//297
-f 270//298 333//298 269//298
-f 271//299 334//299 270//299
-f 272//300 335//300 271//300
-f 273//301 336//301 272//301
-f 338//302 273//302 274//302
-f 339//303 274//303 275//303
-f 340//304 275//304 276//304
-f 341//305 276//305 277//305
-f 342//306 277//306 310//306
-f 343//307 310//307 311//307
-f 344//308 311//308 312//308
-f 345//309 312//309 313//309
-f 346//310 313//310 314//310
-f 347//311 314//311 315//311
-f 348//312 315//312 316//312
-f 349//313 316//313 317//313
-f 350//314 317//314 318//314
-f 351//315 318//315 319//315
-f 352//316 319//316 320//316
-f 353//317 320//317 321//317
-f 354//318 1385//318 1391//318
-f 355//319 1391//319 1380//319
-f 356//320 1380//320 1378//320
-f 357//321 1378//321 1376//321
-f 358//322 1376//322 1382//322
-f 359//323 1382//323 1388//323
-f 360//324 1388//324 1386//324
-f 361//325 1386//325 1400//325
-f 362//326 1400//326 1373//326
-f 363//327 1373//327 1396//327
-f 364//328 1396//328 1394//328
-f 365//329 1394//329 1392//329
-f 366//330 1392//330 1397//330
-f 367//331 1397//331 1372//331
-f 368//332 1372//332 1370//332
-f 369//333 1370//333 1384//333
-f 1390//334 369//334 1384//334
-f 1381//335 370//335 1390//335
-f 1379//336 371//336 1381//336
-f 1377//337 372//337 1379//337
-f 1383//338 373//338 1377//338
-f 1389//339 374//339 1383//339
-f 1387//340 375//340 1389//340
-f 1369//341 376//341 1387//341
-f 1375//342 377//342 1369//342
-f 1398//343 378//343 1375//343
-f 1395//344 379//344 1398//344
-f 1393//345 380//345 1395//345
-f 1399//346 381//346 1393//346
-f 1374//347 382//347 1399//347
-f 1371//348 383//348 1374//348
-f 1385//349 384//349 1371//349
-f 386//350 1348//350 1360//350
-f 387//351 1360//351 1353//351
-f 388//352 1353//352 1354//352
-f 389//353 1354//353 1347//353
-f 390//354 1347//354 1341//354
-f 391//355 1341//355 1362//355
-f 392//356 1362//356 1364//356
-f 393//357 1364//357 1343//357
-f 394//358 1343//358 1368//358
-f 395//359 1368//359 1338//359
-f 396//360 1338//360 1340//360
-f 397//361 1340//361 1366//361
-f 398//362 1366//362 1359//362
-f 399//363 1359//363 1346//363
-f 400//364 1346//364 1350//364
-f 401//365 1350//365 1357//365
-f 1352//366 401//366 1357//366
-f 1355//367 402//367 1352//367
-f 1356//368 403//368 1355//368
-f 1351//369 404//369 1356//369
-f 1344//370 405//370 1351//370
-f 1361//371 406//371 1344//371
-f 1363//372 407//372 1361//372
-f 1342//373 408//373 1363//373
-f 1367//374 409//374 1342//374
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-f 1339//376 411//376 1337//376
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-f 1358//378 413//378 1365//378
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-f 1348//381 416//381 1349//381
-f 418//382 1288//382 1304//382
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-f 420//384 1298//384 1326//384
-f 421//385 1326//385 1276//385
-f 422//386 1276//386 1318//386
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-f 428//392 1330//392 1294//392
-f 429//393 1294//393 1306//393
-f 430//394 1306//394 1284//394
-f 431//395 1284//395 1282//395
-f 432//396 1282//396 1280//396
-f 433//397 1280//397 1292//397
-f 1302//398 433//398 1292//398
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-f 1328//400 435//400 1300//400
-f 1278//401 436//401 1328//401
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-f 1316//403 438//403 1320//403
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-f 1296//408 443//408 1334//408
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-f 1274//412 447//412 1286//412
-f 1288//413 448//413 1274//413
-f 450//414 1232//414 1234//414
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-f 452//416 1230//416 1252//416
-f 453//417 1252//417 1270//417
-f 454//418 1270//418 1242//418
-f 455//419 1242//419 1248//419
-f 456//420 1248//420 1236//420
-f 457//421 1236//421 1260//421
-f 458//422 1260//422 1264//422
-f 459//423 1264//423 1268//423
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-f 461//425 1224//425 1246//425
-f 462//426 1246//426 1216//426
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-f 464//428 1220//428 1272//428
-f 465//429 1272//429 1226//429
-f 1228//430 465//430 1226//430
-f 1238//431 466//431 1228//431
-f 1256//432 467//432 1238//432
-f 1210//433 468//433 1256//433
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-f 1244//441 476//441 1222//441
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-f 1212//444 479//444 1218//444
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-f 484//448 1194//448 1190//448
-f 485//449 1190//449 1154//449
-f 486//450 1154//450 1198//450
-f 487//451 1198//451 1180//451
-f 488//452 1180//452 1176//452
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-f 1178//467 502//467 1200//467
-f 1174//468 503//468 1178//468
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diff --git a/data/test_recording_mesh.ply b/data/test_recording_mesh.ply
deleted file mode 100644
index 56520943f12eec74bfafe83cabdcc8173ebd7e01..0000000000000000000000000000000000000000
--- a/data/test_recording_mesh.ply
+++ /dev/null
@@ -1,289 +0,0 @@
-ply
-format ascii 1.0
-element vertex 219
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-property float y
-property float z
-element face 61
-property list int int vertex_index
-end_header
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diff --git a/data/test_recording_ply.ply b/data/test_recording_ply.ply
deleted file mode 100644
index 727274020145e0c51911750e836f43efb2c2dc92..0000000000000000000000000000000000000000
--- a/data/test_recording_ply.ply
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diff --git a/data/tissue_example_curved_small.txt b/data/tissue_example_curved_small.txt
deleted file mode 100644
index 3ba345fee8b97347b56c37de3ae1416733f2b443..0000000000000000000000000000000000000000
--- a/data/tissue_example_curved_small.txt
+++ /dev/null
@@ -1,79 +0,0 @@
-62 points:
-0.23384615455314206 1.3875769482367002 0.5989934436436285
--0.1317204361911295 0.8291530311678528 0.2779531137273688
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--0.33054938927502536 -0.42367638438345945 0.18066365864415204
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--1.4382629176128763 0.09048783288487783 0.6056980526555954
--0.9260546725957771 0.6624065823739943 0.5121524590368233
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--0.9401880629503004 -1.001198596606548 0.5830492277698376
--0.9072611017940073 -1.0116548106119279 0.5784280784687158
--0.42464883353881 1.6538980102795875 0.7539853745362349
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--1.1048594100765798 -0.9140191942000542 0.6030956828233452
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--1.0660574940051415 0.881919457584175 0.6059505230148453
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--0.7122934800939053 -1.295657030373144 0.6222876234350365
--0.8339736045209551 -1.147866191412818 0.600103506919268
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--0.2068985594699178 1.6377707388007208 0.7201096944771599
--1.036349578280803 1.1036002096352708 0.6529984981636766
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--1.4463048419359121 -0.46993292990199853 0.6378705568073161
--1.4856230007535065 -0.2833977440442932 0.6342159366591492
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--1.249858458818582 -0.7931842971650602 0.6207626118386854
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--3.98413106158034e-16 -1.5261808351718882 0.6424488975166672
-0.18631602103074857 -1.4748431704683065 0.6255264573023944
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--0.5599763052356973 -1.4143386999473124 0.6402173708766651
--0.38398395687967996 -1.4955187724648265 0.6505888356571742
-7 cells:
-3 14 32 59 58 13 11 54 55 30 12 2
-5 10 26 51 50 31 57 56 14 3
-8 22 23 6 20 47 46 48 49 21 15 16 4 7
-1 9 7 4 5 3 2
-2 12 29 28 44 45 19 42 43 18 0 1
-16 35 34 60 61 33 52 53 27 10 5 4
-24 25 9 1 0 36 37 17 40 41 39 38
-7 cell labels:
-1
-1
-1
-1
-1
-1
-1
diff --git a/data/tissue_example_flat.txt b/data/tissue_example_flat.txt
deleted file mode 100644
index f5f630e8c5354e64b6a12dbf494895106069094a..0000000000000000000000000000000000000000
--- a/data/tissue_example_flat.txt
+++ /dev/null
@@ -1,345 +0,0 @@
-220 points:
-3.674683837100023 -2.3062871804928227 0.0
--2.505883375312004 2.381290800596283 0.0
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--2.177590693494827 -2.2265616575590577 0.0
--2.664537042155698 -2.232109470942664 0.0
--2.8996286232828914 -3.28898306864242 0.0
--1.5802415713682199 -4.0163992801819255 0.0
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--0.5077300788169253 -3.513613340726238 0.0
--0.14103023436685896 -4.487654822635143 0.0
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--3.9576408344988026 2.016518725135506 0.0
--4.277368240176904 1.2152099422946754 0.0
--4.31165145796563 0.048969886912911015 0.0
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--2.850738765206837 -1.1251957535489798 0.0
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--3.0587161474687297 1.3965275422558614 0.0
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-61 cells:
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diff --git a/data/tutorial_results/tuto_5_result_1_paraview_snapshot.gif.png b/data/tutorial_results/tuto_5_result_1_paraview_snapshot.gif.png
new file mode 100644
index 0000000000000000000000000000000000000000..4fe0b1d708f19b209f114b0641b0bcddf06ea17e
Binary files /dev/null and b/data/tutorial_results/tuto_5_result_1_paraview_snapshot.gif.png differ
diff --git a/data/tutorial_results/tuto_5_result_2_paraview_snapshot.gif.png b/data/tutorial_results/tuto_5_result_2_paraview_snapshot.gif.png
new file mode 100644
index 0000000000000000000000000000000000000000..e0ec1dd1d438870abf2a9b85642024e4f16c9509
Binary files /dev/null and b/data/tutorial_results/tuto_5_result_2_paraview_snapshot.gif.png differ
diff --git a/doc/_static/library_organization.png b/doc/_static/library_organization.png
index b64fbd8ce8d269e4b325084a8d21a240df8ae9cb..ca53ecd815e5cd4c04ac370deedd6c8aacc47084 100644
Binary files a/doc/_static/library_organization.png and b/doc/_static/library_organization.png differ
diff --git a/doc/conf.py b/doc/conf.py
index 7379785699a34e41db690845853dfcf7d79d5b45..24f77e2ec61c7ebb9b8062adf6328c3017675be6 100644
--- a/doc/conf.py
+++ b/doc/conf.py
@@ -34,8 +34,9 @@ to_import = ['bvpy_tutorial_domain.ipynb',
'bvpy_tutorial_1_hello_world.ipynb',
'bvpy_tutorial_2_domains.ipynb',
'bvpy_tutorial_3_vforms.ipynb',
- 'bvpy_tutorial_4_linear_elasticity.ipynb',
- 'turing']
+ 'bvpy_tutorial_4_bnd_cond.ipynb',
+ 'bvpy_tutorial_5_reaction_diffusion.ipynb',
+ 'bvpy_tutorial_6_linear_elasticity.ipynb']
for i in notebooks:
if '.' != i[0] and i in to_import:
@@ -104,6 +105,7 @@ nbsphinx_prolog = r"""
"""
+nbsphinx_timeout = -1
# try to add more extensions which are not default
# but still useful
@@ -148,9 +150,9 @@ copyright = u"2020, bvpy"
#
# The short X.Y version.
-version = "0.9.0"
+version = "1.0.0"
# The full version, including alpha/beta/rc tags.
-release = "0.9.0"
+release = "1.0.0"
# The language for content autogenerated by Sphinx. Refer to documentation
diff --git a/doc/index.rst b/doc/index.rst
index 79f3c2ce841134afb6cd4d60d1261082c9f73f94..15a84b57555bad75935eb9037368f6725e07566a 100644
--- a/doc/index.rst
+++ b/doc/index.rst
@@ -10,6 +10,21 @@ Bvpy
.. image:: https://gitlab.inria.fr/mosaic/work-in-progress/bvpy/badges/develop/pipeline.svg
:target: https://gitlab.inria.fr/mosaic/work-in-progress/bvpy/pipelines
+.. image:: https://anaconda.org/mosaic/bvpy/badges/platforms.svg
+ :target: https://anaconda.org/MOSAIC/bvpy
+
+.. image:: https://anaconda.org/mosaic/bvpy/badges/version.svg
+ :target: https://anaconda.org/MOSAIC/bvpy
+
+.. image:: https://anaconda.org/mosaic/bvpy/badges/license.svg
+ :target: https://cecill.info/licences/Licence_CeCILL-C_V1-en.txt
+
+.. image:: https://anaconda.org/mosaic/bvpy/badges/latest_release_date.svg
+ :target: https://anaconda.org/MOSAIC/bvpy
+
+.. image:: https://anaconda.org/mosaic/bvpy/badges/downloads.svg
+ :target: https://anaconda.org/MOSAIC/bvpy
+
.. toctree::
:caption: Table of contents
:maxdepth: 2
@@ -34,18 +49,21 @@ Despite this biological motivation, the **Bvpy** library has been implemented in
.. sidebar:: |name|
- :Coordination: |coord|
+ :Lead Development: Florian Gacon
+
+ :Coordination: Olivier Ali
+
+ :Active team: Inria project team `Mosaic <https://team.inria.fr/mosaic/>`_
- :Contributors: |contrib|
+ :Institutes: `Inria <http://www.inria.fr>`_
- :Active teams: Inria project-team `Mosaic <https://team.inria.fr/mosaic/>`_
+ :Language: Python
- :Stable release: |release|
+ :Supported OS: Linux, MacOS
- :Written in: Python
+ :Licence: `Cecill-C`
- :Supported OS: Linux, Mac OS
- :Licence: `CeCILL-C licence <https://cecill.info/licences/Licence_CeCILL-C_V1-en.html>`_
+ :Funding: Inria ADT Gnomon (Christophe Godin)
Requirements
@@ -65,11 +83,11 @@ In order to install ``bvpy`` you will need `conda <https://docs.conda.io/project
.. code-block:: bash
- git clone https://gitlab.inria.fr/mosaic/publications/bvpy.git
+ git clone https://gitlab.inria.fr/mosaic/bvpy.git
cd bvpy
conda env create -f conda/env.yaml -n bvpy-dev
conda activate bvpy-dev
- python setup.py develop
+ python setup.py develop --prefix=$CONDA_PREFIX
* On `Anaconda Cloud <https://anaconda.org/mosaic/bvpy>`_:
diff --git a/doc/tutorials.rst b/doc/tutorials.rst
index 204886e06fc4b5a52f0417e80ffd5e9832279572..18cb5cc476a5f2f2873d52d9550ae2af4bfda44e 100644
--- a/doc/tutorials.rst
+++ b/doc/tutorials.rst
@@ -11,5 +11,6 @@ Tutorials
bvpy_tutorial_1_hello_world
bvpy_tutorial_2_domains
bvpy_tutorial_3_vforms
- bvpy_tutorial_4_linear_elasticity
- turing
+ bvpy_tutorial_4_bnd_cond
+ bvpy_tutorial_5_reaction_diffusion
+ bvpy_tutorial_6_linear_elasticity
diff --git a/docker/Dockerfile b/docker/Dockerfile
new file mode 100644
index 0000000000000000000000000000000000000000..71d32c5ebc337d1f79e7327345423da15bf4c540
--- /dev/null
+++ b/docker/Dockerfile
@@ -0,0 +1,61 @@
+# To build:
+# docker build -t bvpy docker/
+
+# To run:
+# docker run -it bvpy
+
+# To purge build:
+# docker rm $(docker ps -a -q)
+
+# To purge images:
+# docker images -a | grep "pattern" | awk '{print $3}' | xargs docker rmi
+
+FROM continuumio/miniconda3
+
+MAINTAINER Florian Gacon <florian.gacon@inria.fr>
+
+ARG GIT_BRANCH=master
+ENV GIT_REPO=https://gitlab.inria.fr/mosaic/bvpy.git
+
+ARG PYTHON_VER=3.7
+ARG GMSH_VER=4.5.6
+
+USER root
+
+WORKDIR /home
+
+ENV CONDA_DIR=/opt/conda
+ENV PATH /opt/conda/envs/bvpy/bin:$PATH
+
+SHELL ["/bin/bash","--login", "-c"]
+
+RUN apt-get update && \
+ apt-get install -yq --no-install-recommends \
+ git \
+ libgl1 && \
+ apt-get autoremove && \
+ rm -rf /var/lib/apt/lists/* && \
+ git clone --single-branch --branch ${GIT_BRANCH} ${GIT_REPO} && \
+ cd bvpy && \
+ conda init bash && \
+ conda update -n base -c defaults conda && \
+ conda create -n bvpy -c conda-forge \
+ python=${PYTHON_VER} \
+ nomkl \
+ ipython \
+ python-gmsh=${GMSH_VER} \
+ meshio \
+ notebook \
+ plotly \
+ ipywidgets \
+ fenics && \
+ echo "source activate bvpy" > ~/.bashrc && \
+ source /root/.bashrc && \
+ conda clean -afy && \
+ python setup.py install --prefix=$CONDA_PREFIX && \
+ cd .. && \
+ mv bvpy/tutorials . && \
+ rm -rf bvpy
+
+
+CMD ["/bin/bash"]
diff --git a/environment.yml b/environment.yml
deleted file mode 100644
index 27172c69352c5ea9bc987201110c46fba7b430fc..0000000000000000000000000000000000000000
--- a/environment.yml
+++ /dev/null
@@ -1,23 +0,0 @@
-name: bvpy
-channels:
- - defaults
- - conda-forge
-dependencies:
- - python=3.7
- - ipython
- - numpy
- - python-gmsh=4.5.6
- - nose
- - coverage
- - meshio
- - fenics
- - pandas
- - importlib_metadata
- - notebook
- - plotly
- - ipywidgets
- - sphinx
- - sphinx_rtd_theme
- - make
- - nbsphinx
- - recommonmark
diff --git a/example/ivp_heat.py b/example/ivp_heat.py
deleted file mode 100644
index 614c5315e432f250c43fc817583d909f85acd4b0..0000000000000000000000000000000000000000
--- a/example/ivp_heat.py
+++ /dev/null
@@ -1,19 +0,0 @@
-from bvpy.vforms import PoissonForm, TransportForm
-from bvpy.domains import Rectangle
-from bvpy.boundary_conditions import dirichlet
-from bvpy.utils.pre_processing import create_expression
-from bvpy.utils.visu import plot
-from bvpy.ibvp import IBVP
-from bvpy.solvers.time_integration import ImplicitEuler
-
-rectangle = Rectangle(x=-2, y=-2, length=4, width=4, cell_size=0.05)
-
-poisson = TransportForm(source=0)
-
-diri = dirichlet(0, boundary='all')
-
-
-ibvp = IBVP(rectangle, poisson, ImplicitEuler, diri)
-sol_0 = create_expression('exp(-a*pow(x, 2) - a*pow(y, 2))', degree=2, a=5)
-ibvp.set_initial_solution(sol_0)
-ibvp.integrate(0, 0.4, 0.02, 'solution.xdmf')
diff --git a/example/turing/lengyel_epstein.py b/example/turing/lengyel_epstein.py
deleted file mode 100644
index 741257800c247c452b07ef8871eef7359754309d..0000000000000000000000000000000000000000
--- a/example/turing/lengyel_epstein.py
+++ /dev/null
@@ -1,38 +0,0 @@
-from bvpy.domains import Rectangle
-from bvpy.boundary_conditions.periodic import SquarePeriodicBoundary
-from bvpy.ibvp import IBVP
-from bvpy.solvers.time_integration import ImplicitEuler
-from bvpy.utils.pre_processing import create_expression
-from bvpy.vforms import CoupledTransportForm
-import numpy as np
-
-
-np.random.seed(1093)
-
-d = Rectangle(length=10, width=10, cell_size=0.2, dim=2)
-d.discretize()
-
-k1 = 9
-k2 = 11
-dt = 0.1
-vform = CoupledTransportForm()
-vform.add_species('A', 1, lambda a, b: k1*(b-(a*b)/(1+b*b)))
-vform.add_species('B', 0.02, lambda a, b: k2-b-(4*a*b)/(1+b*b))
-# vform.constrain(SquarePeriodicBoundary(length=10, width=10))
-
-random = np.random.uniform(low=-1, high=1, size=d.mesh.num_entities(2))
-state = [[1+0.04*k1**2+0.1*r,
- 0.2*k2+0.1*r] for r in random]
-init = create_expression(state)
-
-ibvp = IBVP(domain=d,
- vform=vform,
- bc=SquarePeriodicBoundary(length=10, width=10),
- scheme=ImplicitEuler,
- initial_state=init)
-
-
-ibvp.integrate(0, 9, dt, 'solution.xdmf',
- linear_solver='mumps',
- absolute_tolerance=1e-10,
- relative_tolerance=1e-10)
diff --git a/legacy/cellmesh/__init__.py b/legacy/cellmesh/__init__.py
deleted file mode 100644
index 40926e511a11049a98beb67dc335fc70d2c3436f..0000000000000000000000000000000000000000
--- a/legacy/cellmesh/__init__.py
+++ /dev/null
@@ -1,32 +0,0 @@
-"""
-Meshing interface to gmsh for PropertyTopomesh and biological structures
-"""
-# {# pkglts, src
-# FYEO
-# #}
-# {# pkglts, version, after src
-from . import version
-
-__version__ = version.__version__
-# #}
-
-import logging
-# - Logging formatter:
-LOG_FMT = '%(levelname)s(cellmesh): %(message)s'
-# - Set the logging format and level:
-logging.basicConfig(format=LOG_FMT, level=logging.INFO)
-
-
-import gmsh
-
-def initialize(verbose=True):
- gmsh.initialize()
- # gmsh.option.setNumber("Mesh.SaveAll", 1)
- gmsh.option.setNumber("General.Terminal", 1)
- if verbose:
- gmsh.option.setNumber("General.Verbosity", 5)
- else:
- gmsh.option.setNumber("General.Verbosity", 0)
-
-def finalize():
- gmsh.finalize()
diff --git a/legacy/cellmesh/app/creator.py b/legacy/cellmesh/app/creator.py
deleted file mode 100644
index f7c1c5c1ade03602dfc3429a03bf66ebbbc3f91e..0000000000000000000000000000000000000000
--- a/legacy/cellmesh/app/creator.py
+++ /dev/null
@@ -1,129 +0,0 @@
-import argparse
-import inspect
-import sys
-
-import fenics as fe
-import meshio
-import numpy as np
-import vtk
-from PyQt5.Qt import QApplication, QFrame, QMainWindow
-from PyQt5.QtCore import Qt
-from PyQt5.QtWidgets import (QComboBox, QHBoxLayout, QLabel, QPushButton,
- QSlider, QVBoxLayout, QWidget, QFormLayout, QLineEdit)
-from vtk.qt.QVTKRenderWindowInteractor import QVTKRenderWindowInteractor
-
-from cellmesh.geometry import basic, biology
-from cellmesh.meshing import create_mesh_fenics
-from visu_core.vtk.actor import vtk_actor
-from visu_core.vtk.polydata import edge_scalar_property_polydata
-
-
-class MeshCreator(QWidget):
-
- def __init__(self, parent=None):
- super().__init__(parent)
-
- self.layout = QHBoxLayout()
- self.setLayout(self.layout)
-
- self.frame = QFrame()
- self.hl = QHBoxLayout()
- self.vtkWidget = QVTKRenderWindowInteractor(self.frame)
- self.vtkWidget.SetInteractorStyle(vtk.vtkInteractorStyleTrackballCamera())
- self.hl.addWidget(self.vtkWidget)
- self.layout.addWidget(self.vtkWidget)
-
- self.ren = vtk.vtkRenderer()
- self.vtkWidget.GetRenderWindow().AddRenderer(self.ren)
- self.iren = self.vtkWidget.GetRenderWindow().GetInteractor()
-
- self.ren.ResetCamera()
-
- self.iren.Initialize()
- self.iren.Start()
-
- self.left_menu = QWidget()
- self.left_layout = QVBoxLayout()
- self.left_menu.setLayout(self.left_layout)
- self.layout.addWidget(self.left_menu)
-
-
- self.geom_dict = self.get_geom_dict()
- self.geom_box = QComboBox()
- for g in self.geom_dict.keys():
- self.geom_box.addItem(g)
- self.left_layout.addWidget(self.geom_box)
-
- self.geom_box.currentTextChanged.connect(self.on_geom_changed)
-
- self.parameterWidget = QWidget()
- self.parameterLayout = QFormLayout()
- self.parameterWidget.setLayout(self.parameterLayout)
- self.left_layout.addWidget(self.parameterWidget)
-
- self.buttons_widget = QWidget()
- self.buttons_layout = QHBoxLayout()
- self.buttons_widget.setLayout(self.buttons_layout)
- self.left_layout.addWidget(self.buttons_widget)
- self.open_button = QPushButton("Clean")
- self.open_button.clicked.connect(self.clean_renderer)
- self.buttons_layout.addWidget(self.open_button)
-
- self.create_button = QPushButton("Create")
- self.buttons_layout.addWidget(self.create_button)
-
-
- self.on_geom_changed()
-
- def clean_renderer(self):
- self.ren.RemoveAllViewProps()
-
- def add_actor(self, actor=None):
- mesh = fe.UnitSquareMesh(2,2)
- points = mesh.coordinates()
- points = np.c_[points, np.zeros(len(points))]
- edges = np.array([ed.entities(0) for ed in fe.edges(mesh)])
- prop = np.ones(len(edges))
- poly = edge_scalar_property_polydata(points, edges, prop)
- actor = vtk_actor(poly)
-
- self.ren.AddActor(actor)
- self.ren.ResetCamera()
-
- def get_geom_dict(self):
- classes = {}
- modules = inspect.getmembers(sys.modules['cellmesh.geometry.biology']) + inspect.getmembers(sys.modules['cellmesh.geometry.basic'])
- for name, obj in modules:
- if inspect.isclass(obj) and name != 'AbstractGeometry':
- classes[name] = obj
- return classes
-
- def get_geom_parameters(self, name):
- geom = self.geom_dict[name]
- sig = inspect.signature(geom.generate)
- lt = list(sig.parameters.keys())
- lt.remove('self')
- return lt
-
- def on_geom_changed(self):
- name = self.geom_box.currentText()
- self.update_geom_parameter(name)
-
- def update_geom_parameter(self, name):
- for i in reversed(range(self.parameterLayout.count())):
- self.parameterLayout.itemAt(i).widget().setParent(None)
- self.slider = {}
-
- param = self.get_geom_parameters(name)
- for p in param:
- self.parameterLayout.addRow(QLabel(p), QLineEdit())
-
-
-if __name__ == '__main__':
- app = QApplication([])
- window = QMainWindow()
- window.setWindowTitle("Mesh Creator")
- slider = MeshCreator()
- window.setCentralWidget(slider)
- window.show()
- app.exec_()
diff --git a/legacy/cellmesh/app/utils.py b/legacy/cellmesh/app/utils.py
deleted file mode 100644
index 057fff0ff68285e1eb31d48f0c166fc54880718f..0000000000000000000000000000000000000000
--- a/legacy/cellmesh/app/utils.py
+++ /dev/null
@@ -1,12 +0,0 @@
-import time
-
-def timer(method):
- def timed(self, *args, **kwargs):
- print('[Executing '+method.__name__.upper()+' ... ', end='')
- start = time.time()
- result = method(self, *args, **kwargs)
- end = time.time()
- print('in '+str(end-start)+' s]')
- return result
-
- return timed
diff --git a/legacy/cellmesh/app/visualizator.py b/legacy/cellmesh/app/visualizator.py
deleted file mode 100644
index 73635c2228d0cd90a1e210f2e015a74d72cedcef..0000000000000000000000000000000000000000
--- a/legacy/cellmesh/app/visualizator.py
+++ /dev/null
@@ -1,228 +0,0 @@
-import argparse
-import inspect
-import sys
-
-import fenics as fe
-import meshio
-import numpy as np
-import vtk
-from PyQt5.Qt import QApplication, QFrame, QMainWindow, QSize
-from PyQt5.QtCore import Qt
-from PyQt5.QtWidgets import (QComboBox, QHBoxLayout, QLabel, QPushButton,
- QSlider, QVBoxLayout, QWidget, QSizePolicy, QFileDialog,
- QGroupBox)
-from vtk.qt.QVTKRenderWindowInteractor import QVTKRenderWindowInteractor
-
-from cellmesh.geometry import basic, biology
-from cellmesh.meshing import create_mesh_fenics, quality, laplacian_smoothing
-from cellmesh.converter import list_format
-from cellmesh.app.utils import timer
-
-from visu_core.vtk.actor import vtk_actor, vtk_scalar_bar_widget
-from visu_core.vtk.polydata import edge_scalar_property_polydata, face_scalar_property_polydata
-
-import matplotlib.pyplot as plt
-
-
-class MeshVisu(QWidget):
-
- def __init__(self, parent=None):
- super().__init__(parent)
-
- self.layout = QHBoxLayout()
- self.setLayout(self.layout)
-
- self.frame = QFrame()
- self.vtkWidget = QVTKRenderWindowInteractor(self.frame)
- self.vtkWidget.setMinimumSize(QSize(700, 700))
- self.vtkWidget.SetInteractorStyle(vtk.vtkInteractorStyleTrackballCamera())
- self.layout.addWidget(self.vtkWidget)
-
- self.ren = vtk.vtkRenderer()
- self.vtkWidget.GetRenderWindow().AddRenderer(self.ren)
- self.iren = self.vtkWidget.GetRenderWindow().GetInteractor()
-
- self.ren.ResetCamera()
-
- self.iren.Initialize()
- self.iren.Start()
-
- self.mesh = fe.Mesh()
- self.nb_vertices = None
- self.nb_triangles = None
-
- self.left_panel = QWidget()
- self.left_panel_layout = QVBoxLayout()
- self.left_panel.setLayout(self.left_panel_layout)
- self.layout.addWidget(self.left_panel)
-
- self.labels = QGroupBox("Information")
- self.labels_layout = QVBoxLayout()
- self.labels_layout.setAlignment(Qt.AlignTop | Qt.AlignLeft)
- self.labels.setLayout(self.labels_layout)
- self.left_panel_layout.addWidget(self.labels)
-
- self.label_tri = QLabel('Triangles:')
- self.label_tri.setAlignment(Qt.AlignTop | Qt.AlignLeft)
- self.label_pts = QLabel('Edges:')
- self.label_pts.setAlignment(Qt.AlignTop | Qt.AlignLeft)
- self.label_edg = QLabel('Vertices:')
- self.label_edg.setAlignment(Qt.AlignTop | Qt.AlignLeft)
- self.label_smt = QLabel('Mean Quality:')
- self.label_smt.setAlignment(Qt.AlignTop | Qt.AlignLeft)
- self.labels_layout.addWidget(self.label_tri)
- self.labels_layout.addWidget(self.label_edg)
- self.labels_layout.addWidget(self.label_pts)
- self.labels_layout.addWidget(self.label_smt)
-
- self.buttons = QGroupBox()
- self.buttons_layout = QVBoxLayout()
- self.buttons_layout.setAlignment(Qt.AlignTop)
- self.left_panel_layout.addWidget(self.buttons)
- self.buttons.setLayout(self.buttons_layout)
- self.load_button = QPushButton("Load")
- self.load_button.clicked.connect(self.load_mesh)
- self.buttons_layout.addWidget(self.load_button)
- self.smooth_button = QPushButton("Smooth")
- self.smooth_button.clicked.connect(self.smooth_mesh)
- self.buttons_layout.addWidget(self.smooth_button)
- self.refine_button = QPushButton("Refine")
- self.refine_button.clicked.connect(self.refine_mesh)
- self.buttons_layout.addWidget(self.refine_button)
- self.save_button = QPushButton("Save")
- self.save_button.clicked.connect(self.save_mesh)
- self.buttons_layout.addWidget(self.save_button)
-
- self.formats=""
- for format in list_format():
- self.formats += '*'+format+' '
-
- self.vtkaxes = vtk.vtkOrientationMarkerWidget()
- self.vtkaxes.SetOutlineColor(0.9300, 0.5700, 0.1300)
- self.vtkaxes.SetOrientationMarker(vtk.vtkAxesActor())
- self.vtkaxes.SetInteractor(self.vtkWidget.GetRenderWindow().GetInteractor())
- self.vtkaxes.SetViewport(0.0, 0.0, 0.2, 0.2)
- self.vtkaxes.SetEnabled(1)
- self.vtkaxes.InteractiveOn()
-
-
- def clean_renderer(self):
- self.ren.RemoveAllViewProps()
-
- @timer
- def compute_quality(self):
- self.qual = np.array([c.radius_ratio() for c in fe.cells(self.mesh)])
-
- @timer
- def update_actor(self, points, edges):
- self.clean_renderer()
- if len(points[0,:])==2:
- points = np.c_[points, np.zeros(len(points))]
-
- prop = np.ones(len(edges))
- poly_wireframe = edge_scalar_property_polydata(points, edges, prop)
- self.actor_wireframe = vtk_actor(poly_wireframe, colormap='Greys', linewidth=2)
- mapedge = self.actor_wireframe.GetMapper()
- mapedge.SetResolveCoincidentTopologyPolygonOffsetParameters(1,1)
- mapedge.SetResolveCoincidentTopologyToPolygonOffset()
- mapedge.ScalarVisibilityOff()
- self.actor_wireframe.GetProperty().SetAmbient(1.0)
- self.actor_wireframe.GetProperty().SetDiffuse(0.0)
- self.actor_wireframe.GetProperty().SetSpecular(0.0)
-
- # self.compute_quality()
- poly_surface = face_scalar_property_polydata(points, self.mesh.cells(), self.qual)
- self.actor_surface = vtk_actor(poly_surface, colormap='plasma', value_range=(0,1))
- mapsurf = self.actor_surface.GetMapper()
- mapsurf.SetResolveCoincidentTopologyPolygonOffsetParameters(0,1)
- mapsurf.SetResolveCoincidentTopologyToPolygonOffset()
-
- self.scalarbar = vtk_scalar_bar_widget(self.actor_surface, self.iren, number_labels=11, font_size=10, title='Quality')
- self.scalarbar.On()
-
- self.ren.AddActor(self.actor_wireframe)
- self.ren.AddActor(self.actor_surface)
-
- def reset_view(self):
- self.ren.ResetCamera()
-
- @timer
- def update_labels(self):
- self.label_tri.setText('Triangles: '+str(self.mesh.num_entities(2)))
- self.label_edg.setText('Edges: '+str(self.mesh.num_entities(1)))
- self.label_pts.setText('Vertices: '+str(self.mesh.num_entities(0)))
- self.label_smt.setText('Mean Quality: '+str(round(np.mean(self.qual),3)))
-
-
- def update_mesh(self, points, cells):
- self.mesh = create_mesh_fenics(points, cells)
- self.compute_quality()
- edges = np.array([ed.entities(0) for ed in fe.edges(self.mesh)])
- self.update_actor(self.mesh.coordinates(), edges)
- self.reset_view()
- self.update_labels()
-
- def load_mesh(self):
- options = QFileDialog.Options()
- options |= QFileDialog.DontUseNativeDialog
- fileName, _ = QFileDialog.getOpenFileName(self,"Load Mesh", "","Mesh file ("+self.formats+")", options=options)
- if fileName:
- if fileName.split('.')[-1]=='xdmf':
- self.mesh = fe.Mesh()
- with fe.XDMFFile(fe.MPI.comm_world, fileName) as infile:
- infile.read(self.mesh)
- edges = np.array([ed.entities(0) for ed in fe.edges(self.mesh)])
- self.compute_quality()
- self.update_labels()
- self.update_actor(self.mesh.coordinates(), edges)
- self.reset_view()
- else:
- mesh = meshio.read(fileName)
- cells = mesh.cells_dict['triangle']
- vertices = mesh.points
- self.update_mesh(vertices, cells)
-
- def refine_mesh(self, *args, **kwargs):
- self.mesh = fe.refine(self.mesh)
- edges = np.array([ed.entities(0) for ed in fe.edges(self.mesh)])
- self.compute_quality()
- self.update_actor(self.mesh.coordinates(), edges)
- self.update_labels()
-
- def save_mesh(self):
- options = QFileDialog.Options()
- options |= QFileDialog.DontUseNativeDialog
- fileName, _ = QFileDialog.getSaveFileName(self,"Save Mesh","","Mesh file (*.xdmf)", options=options)
- if fileName:
- file = fe.XDMFFile(fe.MPI.comm_world, fileName)
- file.write(self.mesh)
- file.close()
-
- def smooth_mesh(self, *args, **kwargs):
- laplacian_smoothing(self.mesh)
- edges = np.array([ed.entities(0) for ed in fe.edges(self.mesh)])
- self.update_actor(self.mesh.coordinates(), edges)
- self.compute_quality()
- self.update_labels()
-
-
-
-
-
-def main():
- parser = argparse.ArgumentParser()
- parser.add_argument('-i', '--input', action="store", help='Provides name')
- args = parser.parse_args()
-
- mesh = meshio.read(args.input)
- cells = mesh.cells_dict['triangle']
- vertices = mesh.points
-
- app = QApplication([])
- window = QMainWindow()
- window.setWindowTitle("Mesh Visu")
- slider = MeshVisu()
- slider.update_mesh(vertices, cells)
- window.setCentralWidget(slider)
- window.show()
- app.exec_()
diff --git a/legacy/cellmesh/converter.py b/legacy/cellmesh/converter.py
deleted file mode 100644
index ea991f4783f4797a6c5951adc1ad6b8cab3aceff..0000000000000000000000000000000000000000
--- a/legacy/cellmesh/converter.py
+++ /dev/null
@@ -1,87 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# cellmesh.converter
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-
-
-import meshio
-import time
-
-import numpy as np
-
-
-def list_format():
- l = list(meshio.extension_to_filetype.keys())
- for ind, format in enumerate(l):
- l[ind] = format[1:]
-
- return l
-
-
-def convert_to_fenics(input_path, output_path=None, ignore_z=False, output_format='xdmf'):
- output_format = '.'+output_format
- if output_path is None:
- output_path = input_path.split('.')[0]+output_format
- output_path_bnd = output_path.replace('.', '_boundary.')
- mesh = meshio.read(input_path, file_format='gmsh')
- if ignore_z:
- mesh.points = mesh.points[:, :2]
- # mesh.prune()
-
- print('Converting Mesh at '+output_path)
- start = time.time()
-
- if 'gmsh:physical' in mesh.cell_data_dict.keys():
- for key in mesh.cell_data_dict["gmsh:physical"].keys():
- print(' -> Detected physical group on cells for '+key)
- if key == 'triangle':
- # print('vertex/triangle')
- data = mesh.cell_data_dict["gmsh:physical"][key]
-
- meshio.write(output_path, meshio.Mesh(
- points=mesh.points, cells={"triangle": mesh.cells_dict["triangle"]},
- cell_data={"triangle_data":[data]}))
-
- if key == 'line':
- line_cells = []
- for cell in mesh.cells:
- if cell.type == "line":
- if len(line_cells) == 0:
- line_cells = cell.data
- else:
- line_cells = np.vstack([line_cells, cell.data])
-
- line_data = []
- for key in mesh.cell_data_dict["gmsh:physical"].keys():
- if key == "line":
- if len(line_data) == 0:
- line_data = mesh.cell_data_dict["gmsh:physical"][key]
- else:
- line_data = np.vstack([line_data, mesh.cell_data_dict["gmsh:physical"][key]])
-
- line_mesh =meshio.Mesh(points=mesh.points,
- cells=[("line", line_cells)],
- cell_data={"boundary": [line_data]})
-
- meshio.xdmf.write(output_path_bnd, line_mesh)
- else:
- meshio.write(output_path, meshio.Mesh(
- points=mesh.points, cells={"triangle": mesh.cells_dict["triangle"]}))
-
- end = time.time()
- print('in ['+str(end-start)+' s]')
diff --git a/legacy/cellmesh/geometry/__init__.py b/legacy/cellmesh/geometry/__init__.py
deleted file mode 100644
index e69de29bb2d1d6434b8b29ae775ad8c2e48c5391..0000000000000000000000000000000000000000
diff --git a/legacy/cellmesh/geometry/abstract.py b/legacy/cellmesh/geometry/abstract.py
deleted file mode 100644
index 7e7d967536f6a326b98126fa26aaaa75fb7975bf..0000000000000000000000000000000000000000
--- a/legacy/cellmesh/geometry/abstract.py
+++ /dev/null
@@ -1,109 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# cellmesh.geometry.abstract
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-
-import gmsh
-from abc import ABC, abstractmethod
-
-import numpy as np
-
-
-class AbstractGeometry(ABC):
- """Short summary.
-
- Parameters
- ----------
- factory : type
- Description of parameter `factory`.
-
- Attributes
- ----------
- points : type
- Description of attribute `points`.
- lines : type
- Description of attribute `lines`.
- surfaces : type
- Description of attribute `surfaces`.
- volumes : type
- Description of attribute `volumes`.
- _model : type
- Description of attribute `_model`.
- factory
-
- """
-
- _model = gmsh.model
-
- def __init__(self, factory='occ'):
- self.points = {}
- self.lines = {}
- self.surfaces = {}
- self.volumes = {}
-
- self.factory = None
-
- def __repr__(self):
- return '<'+str(self.model_name)+', at '+str(hex(id(self)))+'>'
-
- def setCurrentModel(self):
- self.model.setCurrent(self.model_name)
- self.current = self.model_name
- self.factory.synchronize()
-
- def _setFactory(self, factory):
- if factory == 'occ':
- self.factory = AbstractGeometry._model.occ
- elif factory == 'default':
- self.factory = AbstractGeometry._model.geo
-
-
- def get_point(self, id):
- return np.array(self.model.getValue(0, self.points[id], []))
-
- @property
- def model_name(self):
- return self.__class__.__name__
-
- @property
- def model(self):
- return AbstractGeometry._model
-
- def synchronize(self):
- self.factory.synchronize()
-
- @abstractmethod
- def generate(self, *args, **kwargs):
- pass
-
- def run_gui(self):
- gmsh.fltk.run()
-
-
-def factory(type):
-
- def wrap(obj):
- class wrap_class(obj):
- def __init__(self):
- super().__init__()
- self._setFactory(type)
- self.__class__.__name__ = self.__class__.__base__.__name__
- # self.setCurrentModel()
-
- return wrap_class
- return wrap
diff --git a/legacy/cellmesh/geometry/basic.py b/legacy/cellmesh/geometry/basic.py
deleted file mode 100644
index 39100024202e3e29cbbda606ddc5b37a24618af9..0000000000000000000000000000000000000000
--- a/legacy/cellmesh/geometry/basic.py
+++ /dev/null
@@ -1,255 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# cellmesh.geometry.basic
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-
-from cellmesh.geometry.abstract import AbstractGeometry, factory
-
-import numpy as np
-from math import pi
-
-@factory('occ')
-class Rectangle(AbstractGeometry):
- """Short summary."""
-
- def generate(self, x, y, dx, dy,):
- rec = self.factory.addRectangle(x, y, 0, dx, dy)
-
- self.synchronize()
-
-@factory('occ')
-class Disk(AbstractGeometry):
- """Short summary."""
-
- def generate(self, radius, override=True, angle_x=0, angle_y=0, angle_z=0):
- circle = self.factory.addCircle(0, 0, 0, radius)
- curve_loop = self.factory.addCurveLoop([circle])
- surf = self.factory.addPlaneSurface([curve_loop])
-
- if angle_x != 0:
- self.factory.rotate([(2, surf)], 0, 0, 0, 1, 0, 0, angle_x)
-
- if angle_y != 0:
- self.factory.rotate([(2, surf)], 0, 0, 0, 0, 1, 0, angle_y)
-
- if angle_z != 0:
- self.factory.rotate([(2, surf)], 0, 0, 0, 0, 0, 1, angle_z)
-
- self.synchronize()
-
-@factory('occ')
-class Sphere(AbstractGeometry):
- """Short summary."""
-
- def generate(self, radius, center=[0,0,0]):
- self.factory.addSphere(*center, radius)
-
- self.synchronize()
-
-
-@factory('occ')
-class SemiSphere(AbstractGeometry):
- """Short summary."""
-
- def generate(self, radius, center=[0, 0, 0]):
- sphere = self.factory.addSphere(*center, radius, angle2=0)
- self.factory.rotate([(3, 1)], 0, 0, 0, 1, 0, 0, pi)
-
- self.factory.synchronize()
-
- self.model.removeEntities([(3, sphere)])
- self.model.removeEntities([(2, 2), (2, 3)])
-
-
-@factory('default')
-class HemiSphere(AbstractGeometry):
- """Short summary."""
-
- def generate(self, radius, center=[0, 0, 0]):
- center = np.array(center)
- self.points['center'] = self.factory.addPoint(*center)
- self.points['radius+x'] = self.factory.addPoint(center[0]+radius,
- center[1],
- center[2])
- self.points['radius-x'] = self.factory.addPoint(center[0]-radius,
- center[1],
- center[2])
- self.points['radius+y'] = self.factory.addPoint(center[0],
- center[1]+radius,
- center[2])
- self.points['radius-y'] = self.factory.addPoint(center[0],
- center[1]-radius,
- center[2])
- self.points['radius_z'] = self.factory.addPoint(center[0],
- center[1],
- center[2]+radius)
-
- self.lines['circle_1'] = self.factory.addCircleArc(self.points['radius+x'], self.points['center'], self.points['radius+y'])
- self.lines['circle_2'] = self.factory.addCircleArc(self.points['radius-x'], self.points['center'], self.points['radius+y'])
- self.lines['circle_3'] = self.factory.addCircleArc(self.points['radius-x'], self.points['center'], self.points['radius-y'])
- self.lines['circle_4'] = self.factory.addCircleArc(self.points['radius+x'], self.points['center'], self.points['radius-y'])
-
- self.lines['circle_5'] = self.factory.addCircleArc(self.points['radius_z'], self.points['center'], self.points['radius+x'])
- self.lines['circle_6'] = self.factory.addCircleArc(self.points['radius_z'], self.points['center'], self.points['radius-x'])
- self.lines['circle_7'] = self.factory.addCircleArc(self.points['radius+y'], self.points['center'], self.points['radius_z'])
- self.lines['circle_8'] = self.factory.addCircleArc(self.points['radius-y'], self.points['center'], self.points['radius_z'])
-
- val = self.model.addPhysicalGroup(1, [self.lines['circle_1'], self.lines['circle_2'], self.lines['circle_3'], self.lines['circle_4']], 100)
- self.model.setPhysicalName(1, val, 'boundary')
-
- lineloops = self.factory.addCurveLoop([self.lines['circle_1'], self.lines['circle_7'], self.lines['circle_5']])
- self.surfaces['quarter_1'] = self.factory.addSurfaceFilling([lineloops])
-
- lineloops = self.factory.addCurveLoop([self.lines['circle_7'], self.lines['circle_6'], self.lines['circle_2']])
- self.surfaces['quarter_2'] = self.factory.addSurfaceFilling([lineloops])
-
- lineloops = self.factory.addCurveLoop([self.lines['circle_6'], self.lines['circle_3'], self.lines['circle_8']])
- self.surfaces['quarter_3'] = self.factory.addSurfaceFilling([lineloops])
-
- lineloops = self.factory.addCurveLoop([self.lines['circle_8'], self.lines['circle_5'], self.lines['circle_4']])
- self.surfaces['quarter_4'] = self.factory.addSurfaceFilling([lineloops])
-
- self.factory.synchronize()
-
- for key, val in self.surfaces.items():
- self.model.addPhysicalGroup(2, [val], val+1000)
- self.model.setPhysicalName(2, val+1000, key)
-
- self.factory.synchronize()
-
-
-@factory('occ')
-class QuarterSphere(AbstractGeometry):
- """Short summary."""
-
- def generate(self, radius, center=[0,0,0]):
- sphere = self.factory.addSphere(*center, radius, angle2=0, angle3=pi/2)
- self.factory.rotate([(3, 1)], *center, 1, 0, 0, pi)
- self.factory.rotate([(3, 1)], *center, 0, 0, 1, pi/2)
-
- self.factory.synchronize()
-
- self.getModel().removeEntities([(3, sphere)])
- self.getModel().removeEntities([(2, 2), (2, 3), (2, 4)])
-
- self.factory.synchronize()
-
-
-@factory('occ')
-class Pill(AbstractGeometry):
- """Short summary."""
-
- def generate(self, radius, height):
- self.factory.addCylinder(0, 0, 0, 0, 0, height, radius)
- self.factory.addSphere(0, 0, 0, radius, angle2=0)
- sphere2 = self.factory.addSphere(0, 0, height, radius, angle2=0)
- self.factory.rotate([(3, sphere2)], 0, 0, height, 1, 0, 0, pi)
-
- self.factory.removeAllDuplicates()
- self.factory.synchronize()
-
- self.model.removeEntities([(3, 1), (3, 2), (3, 3)])
- self.model.removeEntities([(2, 2), (2, 3)])
-
- # self.factory.synchronize()
-
-@factory('occ')
-class Box(AbstractGeometry):
- """Short summary."""
-
- def generate(self, x, y, z, dx, dy, dz):
- self.factory.addBox(x, y, z, dx, dy, dz)
-
- self.factory.synchronize()
-
-
-@factory('default')
-class Ellipsoid(AbstractGeometry):
- """Short summary."""
-
- def generate(self, r1, r2, center=[0,0,0]):
- assert len(center) == 3
-
- self.points[0] = self.factory.addPoint(*center, tag=0)
- self.points[1] = self.factory.addPoint(center[0]+r1, center[1], center[2])
- self.points[2] = self.factory.addPoint(center[0]-r1, center[1], center[2])
- self.points[3] = self.factory.addPoint(center[0], center[1]+r1, center[2])
- self.points[4] = self.factory.addPoint(center[0], center[1]-r1, center[2])
-
- self.points[5] = self.factory.addPoint(center[0], center[1], center[2]+r2)
- self.points[6] = self.factory.addPoint(center[0], center[1], center[2]-r2)
-
- self.lines[0] = self.factory.addCircleArc(self.points[1], self.points[0], self.points[3], tag=0)
- self.lines[1] = self.factory.addCircleArc(self.points[3], self.points[0], self.points[2])
- self.lines[2] = self.factory.addCircleArc(self.points[2], self.points[0], self.points[4])
- self.lines[3] = self.factory.addCircleArc(self.points[4], self.points[0], self.points[1])
-
-
- self.lines[0] = self.factory.addEllipseArc(self.points[1], self.points[0], self.points[6], self.points[6])
- self.lines[1] = self.factory.addEllipseArc(self.points[2], self.points[0], self.points[6], self.points[6])
- self.lines[2] = self.factory.addEllipseArc(self.points[3], self.points[0], self.points[6], self.points[6])
- self.lines[3] = self.factory.addEllipseArc(self.points[4], self.points[0], self.points[6], self.points[6])
- self.lines[4] = self.factory.addEllipseArc(self.points[1], self.points[0], self.points[5], self.points[5])
- self.lines[5] = self.factory.addEllipseArc(self.points[2], self.points[0], self.points[5], self.points[5])
- self.lines[6] = self.factory.addEllipseArc(self.points[3], self.points[0], self.points[5], self.points[5])
- self.lines[7] = self.factory.addEllipseArc(self.points[4], self.points[0], self.points[5], self.points[5])
-
-
- s = self.factory.addCurveLoop([0,6,-4])
- self.surfaces[0] = self.factory.addSurfaceFilling([s], tag=0)
- s = self.factory.addCurveLoop([3,4,-7])
- self.surfaces[1] = self.factory.addSurfaceFilling([s])
- s = self.factory.addCurveLoop([2,7,-5])
- self.surfaces[2] = self.factory.addSurfaceFilling([s])
- s = self.factory.addCurveLoop([1,5,-6])
- self.surfaces[3] = self.factory.addSurfaceFilling([s])
-
-
- s = self.factory.addCurveLoop([1,9,-10])
- self.surfaces[4] = self.factory.addSurfaceFilling([s])
- s = self.factory.addCurveLoop([2,11,-9])
- self.surfaces[5] = self.factory.addSurfaceFilling([s])
- s = self.factory.addCurveLoop([3,8,-11])
- self.surfaces[6] = self.factory.addSurfaceFilling([s])
- s = self.factory.addCurveLoop([0,10,-8])
- self.surfaces[7] = self.factory.addSurfaceFilling([s])
-
- self.factory.synchronize()
-
- self.model.removeEntities([(0, self.points[0])])
-
-
-if __name__ =='__main__':
- from cellmesh.meshing import generateMesh
- from cellmesh.converter import convert_to_fenics
- import fenics as fe
- import gmsh
-
- import cellmesh
- cellmesh.initialize()
- circle = Ellipsoid()
- # print(circle.factory)
- circle.generate(3,1)
- # circle.run_gui()
-
- # rec = Rectangle()
- # rec.generate(0,0,1,1)
-
- generateMesh(circle, 0.07, 'test.msh', algorithm='MeshAdapt')
- # rec.run_gui()
- convert_to_fenics('test.msh', 'protoplast_ratio_13.xdmf')
diff --git a/legacy/cellmesh/geometry/biology.py b/legacy/cellmesh/geometry/biology.py
deleted file mode 100644
index ec927695e6972c811a890e5b892293183c96a4a5..0000000000000000000000000000000000000000
--- a/legacy/cellmesh/geometry/biology.py
+++ /dev/null
@@ -1,852 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# cellmesh.geometry.biology
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-
-from cellmesh.geometry.abstract import AbstractGeometry, factory
-from cellmesh.geometry.utils import normalize, intersect2D
-
-from math import pi, radians, degrees, isclose
-import numpy as np
-from copy import deepcopy
-
-def _circleCenterFromPointsRadius(p1, p2, radius):
- vec = np.array(p2)-np.array(p1)
- center_vec = 0.5*vec+p1
- bisect = np.cross(np.array([0,0,1]), vec)
- print(bisect)
- bisect = bisect/np.linalg.norm(bisect)
- print(radius, np.linalg.norm(0.5*vec))
- circle_center = bisect*np.sqrt(radius**2-np.linalg.norm(vec/2)**2)+center_vec
-
- return circle_center
-
-
-@factory('occ')
-class ThreeWay(AbstractGeometry):
-
- def generate(self, radius, angle, width, length, separation=True, mesh_center=True):
- angle_rad = angle*pi/180
-
- self.points['center'] = self.factory.addPoint(0, 0, 0)
- self.points['center2'] = self.factory.copy([(0, self.points['center'])])[0][1]
- self.points['center3'] = self.factory.copy([(0, self.points['center'])])[0][1]
-
- self.points['circle_left_center'] = self.factory.addPoint(-radius, 0, 0)
- self.points['circle_left_int'] = self.factory.addPoint(-width, 0, 0)
-
- self.points['circle_left_int2'] = self.factory.copy([(0, self.points['circle_left_int'])])[0][1]
-
- self.points['circle_right_center'] = self.factory.addPoint(radius, 0, 0)
- self.points['circle_right_int'] = self.factory.addPoint(width, 0, 0)
-
- self.points['circle_right_int2'] = self.factory.copy([(0, self.points['circle_right_int'])])[0][1]
-
- self.points['circle_low_int_left'] = self.factory.copy([(0, self.points['circle_right_int'])])[0][1]
-
- self.points['circle_low_int_right'] = self.factory.copy([(0, self.points['circle_left_int'])])[0][1]
-
- self.factory.rotate([(0, self.points['center2']), (0, self.points['circle_left_int2'])], -radius, 0, 0, 0, 0, 1, -angle_rad)
- self.factory.rotate([(0, self.points['center3']), (0, self.points['circle_right_int2'])], radius, 0, 0, 0, 0, 1, angle_rad)
-
- self.factory.rotate([(0, self.points['circle_low_int_left'])], -radius, 0, 0, 0, 0, 1, -angle_rad)
- self.factory.rotate([(0, self.points['circle_low_int_right'])], radius, 0, 0, 0, 0, 1, angle_rad)
-
- # print('self.lines', self.points['circle_left_int'], self.points['circle_right_int'])
- self.lines['border_up'] = self.factory.addLine(self.points['circle_left_int'],self.points['circle_right_int'])
- self.lines['border_left'] = self.factory.addLine(self.points['circle_left_int2'],self.points['circle_low_int_left'])
- self.lines['border_right'] = self.factory.addLine(self.points['circle_right_int2'],self.points['circle_low_int_right'])
-
- self.lines['left_ext'] = self.factory.addCircleArc(self.points['center'], self.points['circle_left_center'], self.points['center2'])
- self.lines['left_int'] = self.factory.addCircleArc(self.points['circle_left_int'], self.points['circle_left_center'], self.points['circle_left_int2'])
-
- self.lines['right_ext'] = self.factory.addCircleArc(self.points['center'], self.points['circle_right_center'], self.points['center3'])
- self.lines['right_int'] = self.factory.addCircleArc(self.points['circle_right_int'], self.points['circle_right_center'], self.points['circle_right_int2'])
-
- self.factory.synchronize()
-
-
- point_rot1 = np.array(self.model.getValue(0, self.points['center2'], []))
- point_rot2 = np.array(self.model.getValue(0, self.points['circle_low_int_left'], []))
- vec1 = point_rot1-point_rot2
-
- if vec1[0] == 0:
- # the last cirlce radius is infinite
- print('Infinite radius for last circle')
- self.lines['low_ext'] = self.factory.addLine(self.points['center2'], self.points['center3'])
- # self.lines['low_mid'] = self.factory.addLine(self.points['circle_low_mid_left'], self.points['circle_low_mid_right'])
- self.lines['low_int'] = self.factory.addLine(self.points['circle_low_int_left'], self.points['circle_low_int_right'])
- else:
- # Compute the last circle center
- # print(vec1)
- grad = vec1[1]/vec1[0]
- # print(grad)
- b = point_rot1[1] - grad*point_rot1[0]
- # print(b)
-
- self.points['circle_low_center'] = self.factory.addPoint(0, b, 0)
- self.lines['low_ext'] = self.factory.addCircleArc(self.points['center2'], self.points['circle_low_center'], self.points['center3'])
- self.lines['low_int'] = self.factory.addCircleArc(self.points['circle_low_int_left'], self.points['circle_low_center'], self.points['circle_low_int_right'])
-
- # ------------- Adding the length of wall -------------
-
- # UP
- point_up_left = np.array(self.model.getValue(0, self.points['circle_left_int'], []))
- point_up_right = np.array(self.model.getValue(0, self.points['circle_right_int'], []))
- point_up_mid = np.array(self.model.getValue(0, self.points['center'], []))
-
- point_up_left[1] += length
- point_up_right[1] += length
- point_up_mid[1] += length
-
- self.points['length_up_left'] = self.factory.addPoint(*point_up_left)
- self.points['length_up_right'] = self.factory.addPoint(*point_up_right)
- self.points['length_up_mid'] = self.factory.addPoint(*point_up_mid)
-
- # LEFT
- point_left_up = np.array(self.model.getValue(0, self.points['circle_left_int2'], []))
- center_left = np.array([-radius, 0, 0])
- vec_left_up = (point_left_up-center_left)
- vec_left_up = vec_left_up/np.linalg.norm(vec_left_up) # normalization
-
- vec_length_left = np.cross(vec_left_up, np.array([0,0,1]))*length
-
- point = point_left_up+vec_length_left
- self.points['length_left_up'] = self.factory.addPoint(*point)
-
- point_left_down = np.array(self.model.getValue(0, self.points['circle_low_int_left'], []))
- point = point_left_down+vec_length_left
- self.points['length_left_down'] = self.factory.addPoint(*point)
- # print(self.points['length_left_down'])
-
- point_left_mid = np.array(self.model.getValue(0, self.points['center2'], []))
- point = point_left_mid+vec_length_left
- self.points['length_left_mid'] = self.factory.addPoint(*point)
-
- # RIGHT
- point_left_up = np.array(self.model.getValue(0, self.points['circle_right_int2'], []))
- vec_length_right = vec_length_left
- vec_length_right[0] = -vec_length_right[0]
-
- point = point_left_up+vec_length_right
- self.points['length_right_up'] = self.factory.addPoint(*point)
-
- point_left_down = np.array(self.model.getValue(0, self.points['circle_low_int_right'], []))
- point = point_left_down+vec_length_right
- self.points['length_right_down'] = self.factory.addPoint(*point)
-
- point_left_mid = np.array(self.model.getValue(0, self.points['center3'], []))
- point = point_left_mid+vec_length_right
- self.points['length_right_mid'] = self.factory.addPoint(*point)
- # print(self.points['circle_left_int'], self.points['length_up_left'])
- self.lines['length_up_left'] = self.factory.addLine(self.points['circle_left_int'], self.points['length_up_left'])
- self.lines['length_up_down'] = self.factory.addLine(self.points['length_up_right'], self.points['circle_right_int'])
- self.lines['length_left_up'] = self.factory.addLine(self.points['circle_left_int2'], self.points['length_left_up'])
- self.lines['length_left_down'] = self.factory.addLine(self.points['length_left_down'], self.points['circle_low_int_left'])
- self.lines['length_right_up'] = self.factory.addLine(self.points['circle_right_int2'], self.points['length_right_up'])
- self.lines['length_right_down'] = self.factory.addLine(self.points['length_right_down'], self.points['circle_low_int_right'])
-
- self.factory.synchronize()
-
- #--------- POSTPROCESSING (normal and boundary marking) -----------
-
- # vec_normal_up
- point_1 = np.array(self.model.getValue(0, self.points['center'], []))
- point_2 = np.array(self.model.getValue(0, self.points['length_up_mid'], []))
- vec_normal_up = point_2 - point_1
- vec_normal_up = vec_normal_up/np.linalg.norm(vec_normal_up)
-
- TOL = 1e-10
-
- # class BoundaryUp(fe.SubDomain):
- # def inside(self, x, on_boundary):
- # return on_boundary and fe.near(x[1] - length ,0, TOL)
-
- # vec_normal_left
- point_1 = np.array(self.model.getValue(0, self.points['center2'], []))
- point_2 = np.array(self.model.getValue(0, self.points['length_left_mid'], []))
- vec_normal_left = point_2 - point_1
- vec_normal_left = vec_normal_left/np.linalg.norm(vec_normal_left)
-
- point_3 = np.array(self.model.getValue(0, self.points['length_left_down'], []))
- vec_tan_left = point_3 - point_2
- # if vec_tan_left[0] == 0:
- # print('angle 90',vec_tan_left[1])
- # class BoundaryLeft(fe.SubDomain):
- # def inside(self, x, on_boundary):
- # return on_boundary and fe.near(radius+length + x[0] ,0, TOL)
- # else:
- # grad_left = vec_tan_left[1]/vec_tan_left[0]
- # point_left = point_3[1] - grad_left* point_3[0]
- #
- # class BoundaryLeft(fe.SubDomain):
- # def inside(self, x, on_boundary):
- # return on_boundary and fe.near(grad_left*x[0]+point_left - x[1] ,0, TOL)
-
- # vec_normal_right
- point_1 = np.array(self.model.getValue(0, self.points['center3'], []))
- point_2 = np.array(self.model.getValue(0, self.points['length_right_mid'], []))
- vec_normal_right = point_2 - point_1
- vec_normal_right = vec_normal_right/np.linalg.norm(vec_normal_right)
-
- point_3 = np.array(self.model.getValue(0, self.points['length_right_down'], []))
- vec_tan_right = point_3 - point_2
- # if vec_tan_left[0] == 0:
- # print('angle 90',vec_tan_right[1])
- # class BoundaryRight(fe.SubDomain):
- # def inside(self, x, on_boundary):
- # return on_boundary and fe.near(radius+length - x[0] ,0, TOL)
- # else:
- # grad_right = vec_tan_right[1]/vec_tan_right[0]
- # point_right = point_3[1] - grad_right* point_3[0]
- #
- # class BoundaryRight(fe.SubDomain):
- # def inside(self, x, on_boundary):
- # return on_boundary and fe.near(grad_right*x[0]+point_right - x[1] ,0, TOL)
-
-
-
- # print(vec_normal_up)
- # print(vec_normal_left)
- # print(vec_normal_right)
- #
- # self.boundary['cellwall'] = {'up': {'boundary': BoundaryUp(), 'normal': vec_normal_up},
- # 'left': {'boundary': BoundaryLeft(), 'normal': vec_normal_left},
- # 'right': {'boundary': BoundaryRight(), 'normal': vec_normal_right}}
-
-
- # ADDING self.surfaces
- self.surfaces = {}
- if separation:
-
- self.lines['length_up_up1'] = self.factory.addLine(self.points['length_up_left'], self.points['length_up_mid'])
- self.lines['length_up_up2'] = self.factory.addLine(self.points['length_up_mid'], self.points['length_up_right'])
-
- self.lines['length_left_left1'] = self.factory.addLine(self.points['length_left_up'], self.points['length_left_mid'])
- self.lines['length_left_left2'] = self.factory.addLine(self.points['length_left_mid'], self.points['length_left_down'])
-
- self.lines['length_right_left1'] = self.factory.addLine(self.points['length_right_up'], self.points['length_right_mid'])
- self.lines['length_right_left2'] = self.factory.addLine(self.points['length_right_mid'], self.points['length_right_down'])
-
- self.lines['length_center_up'] = self.factory.addLine(self.points['center'], self.points['length_up_mid'])
- self.lines['length_center_left'] = self.factory.addLine(self.points['center2'], self.points['length_left_mid'])
- self.lines['length_center_right'] = self.factory.addLine(self.points['center3'], self.points['length_right_mid'])
-
- curveloop_left = self.factory.addCurveLoop([self.lines['length_up_up1'], self.lines['length_center_up'], self.lines['left_ext'], self.lines['length_center_left'], self.lines['length_left_left1'], self.lines['length_left_up'], self.lines['left_int'], self.lines['length_up_left']])
- self.surfaces['left_wall'] = self.factory.addPlaneSurface([curveloop_left])
-
- curveloop_right = self.factory.addCurveLoop([self.lines['length_up_up2'], self.lines['length_up_down'], self.lines['right_int'], self.lines['length_right_up'], self.lines['length_right_left1'], self.lines['length_center_right'], self.lines['right_ext'], self.lines['length_center_up']])
- self.surfaces['right_wall'] = self.factory.addPlaneSurface([curveloop_right])
-
- curveloop_down = self.factory.addCurveLoop([self.lines['length_right_left2'], self.lines['length_right_down'], self.lines['low_int'], self.lines['length_left_down'], self.lines['length_left_left2'], self.lines['length_center_left'], self.lines['low_ext'], self.lines['length_center_right']])
- self.surfaces['down_wall'] = self.factory.addPlaneSurface([curveloop_down])
-
- else:
-
- self.lines['length_up_up'] = self.factory.addLine(self.points['length_up_left'], self.points['length_up_right'])
- self.lines['length_left_left'] = self.factory.addLine(self.points['length_left_up'], self.points['length_left_down'])
- self.lines['length_right_left'] = self.factory.addLine(self.points['length_right_up'], self.points['length_right_down'])
-
- curveloop_wall = self.factory.addCurveLoop([self.lines['length_up_up'], self.lines['length_up_down'], self.lines['right_int'], self.lines['length_right_up'], self.lines['length_right_left'], self.lines['length_right_down'], self.lines['low_int'], self.lines['length_left_down'], self.lines['length_left_left'], self.lines['length_left_up'], self.lines['left_int'], self.lines['length_up_left']])
- self.surfaces['wall'] = self.factory.addPlaneSurface([curveloop_wall])
-
- curveloop_int = self.factory.addCurveLoop([self.lines['left_ext'], self.lines['right_ext'], self.lines['low_ext']])
- self.surfaces['int'] = self.factory.addPlaneSurface([curveloop_int])
-
- self.factory.cut([(2, self.surfaces['wall'])], [(2, self.surfaces['int'])])
-
- if mesh_center:
- curveloop_center = self.factory.addCurveLoop([self.lines['left_ext'], self.lines['right_ext'], self.lines['low_ext']])
- self.surfaces['center'] = self.factory.addPlaneSurface([curveloop_center])
-
- self.factory.synchronize()
-
- self.model.addPhysicalGroup(1, [self.lines['low_int'], self.lines['length_left_down'], self.lines['length_right_down']], 10)
- # print('self.points', self.points)
- # print('self.lines', self.lines)
- # print('self.surfaces', self.surfaces)
-
- self.factory.synchronize()
-
-
-@factory('occ')
-class DoubleThreeWay(AbstractGeometry):
-
-
- def generate(self, middle_length, branch_length, width, angle_left_up, angle_left_down, angle_right_up, angle_right_down, radius_left,
- radius_right, mesh_center=True, separation=True):
-
- #######################################################################
- # START LEFT THREE WAY
- #######################################################################
-
- # Branch Up
-
- self.points[1] = self.factory.addPoint(0, 0,0, tag=1)
- self.points[2] = self.factory.addPoint(radius_left, 0,0)
- self.points[3] = self.factory.addPoint(radius_left, 0,0)
-
- rot = [(0, self.points[2])]
- self.factory.rotate(rot, 0, 0, 0, 0, 0, 1, radians(angle_left_up))
-
- rot = [(0, self.points[3])]
- self.factory.rotate(rot, 0, 0, 0, 0, 0, 1, -radians(angle_left_down))
-
- self.factory.synchronize()
-
- point_up = np.array(self.model.getValue(0, self.points[2], []))
- vec = np.cross(point_up, [0,0,1])
- vec = normalize(vec)*width/2
-
- new_point = point_up+vec
- self.points[4] = self.factory.addPoint(*new_point)
-
- new_point = point_up-vec
- self.points[5] = self.factory.addPoint(*new_point)
-
- point_down = np.array(self.model.getValue(0, self.points[3], []))
- vec = np.cross(point_down, [0,0,1])
- vec = normalize(vec)*width/2
-
- new_point = point_down+vec
- self.points[6] = self.factory.addPoint(*new_point)
-
- new_point = point_down-vec
- self.points[7] = self.factory.addPoint(*new_point)
-
-
- self.points[8] = self.factory.addPoint(radius_left, width/2, 0)
- self.points[9] = self.factory.addPoint(radius_left, 0, 0)
- self.points[10] = self.factory.addPoint(radius_left, -width/2, 0)
-
-
- # First Intersection
- self.factory.synchronize()
-
- if isclose(angle_left_up, 180):
- self.points[11] = self.factory.addPoint(-radius_left, 0, 0)
-
- self.lines[1] = self.factory.addLine(self.points[9],self.points[2], tag=1)
- self.lines[2] = self.factory.addLine(self.points[8],self.points[4])
-
- else:
- vec1 = self.get_point(4) - self.get_point(2)
- p1 = self.get_point(4)
- vec2 = self.get_point(8) - self.get_point(9)
- p2 = self.get_point(8)
-
- new_point = intersect2D(p1, vec1, p2, vec2)
- self.points[11] = self.factory.addPoint(*new_point, 0)
-
- self.lines[1] = self.factory.addCircleArc(self.points[9],self.points[11],self.points[2])
- self.lines[2] = self.factory.addCircleArc(self.points[8],self.points[11],self.points[4])
-
- if isclose(angle_left_down+angle_left_up, 180):
- self.points[12] = self.factory.addPoint(-radius_left, 0, 0)
-
- self.lines[3] = self.factory.addLine(self.points[2],self.points[3])
- self.lines[4] = self.factory.addLine(self.points[5],self.points[6])
-
- else:
-
- vec1 = self.get_point(5) - self.get_point(2)
- p1 = self.get_point(5)
- vec2 = self.get_point(6) - self.get_point(3)
- p2 = self.get_point(6)
-
- new_point = intersect2D(p1, vec1, p2, vec2)
- self.points[12] = self.factory.addPoint(*new_point, 0)
-
- self.lines[3] = self.factory.addCircleArc(self.points[2],self.points[12],self.points[3])
- self.lines[4] = self.factory.addCircleArc(self.points[5],self.points[12],self.points[6])
-
-
- if isclose(angle_left_down, 180):
- self.points[13] = self.factory.addPoint(-radius_left, 0, 0)
-
- self.lines[5] = self.factory.addLine(self.points[3],self.points[9])
- self.lines[6] = self.factory.addLine(self.points[10],self.points[7])
- else:
- vec1 = self.get_point(10) - self.get_point(9)
- p1 = self.get_point(10)
- vec2 = self.get_point(7) - self.get_point(3)
- p2 = self.get_point(7)
-
- new_point = intersect2D(p1, vec1, p2, vec2)
- self.points[13] = self.factory.addPoint(*new_point, 0)
-
- self.lines[5] = self.factory.addCircleArc(self.points[10],self.points[13],self.points[7])
- self.lines[6] = self.factory.addCircleArc(self.points[9],self.points[13],self.points[3])
-
-
-
- self.lines[7] = self.factory.addLine(self.points[8], self.points[9])
- self.lines[8] = self.factory.addLine(self.points[9], self.points[10])
- self.lines[9] = self.factory.addLine(self.points[7], self.points[3])
- self.lines[10] = self.factory.addLine(self.points[3], self.points[6])
- self.lines[11] = self.factory.addLine(self.points[5], self.points[2])
- self.lines[12] = self.factory.addLine(self.points[2], self.points[4])
-
- vec = normalize(self.get_point(2) - self.get_point(1))
- new_point = self.get_point(2) + vec*branch_length
- self.points[14] = self.factory.addPoint(*new_point)
- p1 = np.cross(vec, [0,0,1])*width/2+new_point
- self.points[15] = self.factory.addPoint(*p1)
- p2 = np.cross(-vec, [0,0,1])*width/2+new_point
- self.points[16] = self.factory.addPoint(*p2)
-
- self.lines[13] = self.factory.addLine(self.points[4], self.points[15])
- self.lines[14] = self.factory.addLine(self.points[15], self.points[14])
- self.lines[15] = self.factory.addLine(self.points[14], self.points[16])
- self.lines[16] = self.factory.addLine(self.points[16], self.points[5])
- self.lines[17] = self.factory.addLine(self.points[2], self.points[14])
-
- vec = normalize(self.get_point(3) - self.get_point(1))
- new_point = self.get_point(3) + vec*branch_length
- self.points[17] = self.factory.addPoint(*new_point)
- p1 = np.cross(vec, [0,0,1])*width/2+new_point
- self.points[18] = self.factory.addPoint(*p1)
- p2 = np.cross(-vec, [0,0,1])*width/2+new_point
- self.points[19] = self.factory.addPoint(*p2)
-
- self.lines[18] = self.factory.addLine(self.points[7], self.points[19])
- self.lines[19] = self.factory.addLine(self.points[19], self.points[17])
- self.lines[20] = self.factory.addLine(self.points[17], self.points[18])
- self.lines[21] = self.factory.addLine(self.points[18], self.points[6])
- self.lines[22] = self.factory.addLine(self.points[3], self.points[17])
-
- # Mesh center
-
- self.points[20] = self.factory.addPoint(radius_left+middle_length+radius_right, 0, 0)
- self.points[21] = self.factory.addPoint(radius_left+middle_length, 0, 0)
- self.points[22] = self.factory.addPoint(radius_left+middle_length, width/2, 0)
- self.points[23] = self.factory.addPoint(radius_left+middle_length, -width/2, 0)
-
- self.lines[23] = self.factory.addLine(self.points[8], self.points[22])
- self.lines[24] = self.factory.addLine(self.points[22], self.points[21])
- self.lines[25] = self.factory.addLine(self.points[21], self.points[23])
- self.lines[26] = self.factory.addLine(self.points[23], self.points[10])
- self.lines[27] = self.factory.addLine(self.points[9], self.points[21])
-
-
- # Mesh left
- self.points[24] = self.factory.addPoint(radius_left+middle_length, 0, 0)
- self.points[25] = self.factory.addPoint(radius_left+middle_length, 0, 0)
-
- rot = [(0, self.points[24])]
- self.factory.rotate(rot, radius_left+middle_length+radius_right, 0, 0, 0, 0, 1, -radians(angle_right_up))
-
- rot = [(0, self.points[25])]
- self.factory.rotate(rot, radius_left+middle_length+radius_right, 0, 0, 0, 0, 1, radians(angle_right_down))
-
- self.factory.synchronize()
-
- point_up = self.get_point(24)
- point_center = self.get_point(20)
- vec = np.cross(point_up-point_center, [0,0,1])
- vec = normalize(vec)*width/2
-
- new_point = point_up+vec
- self.points[26] = self.factory.addPoint(*new_point)
-
- new_point = point_up-vec
- self.points[27] = self.factory.addPoint(*new_point)
-
- point_down = self.get_point(25)
- vec = np.cross(point_down-point_center, [0,0,1])
- vec = normalize(vec)*width/2
-
- new_point = point_down+vec
- self.points[28] = self.factory.addPoint(*new_point)
-
- new_point = point_down-vec
- self.points[29] = self.factory.addPoint(*new_point)
-
- self.factory.synchronize()
-
- if isclose(angle_right_up, 180):
- self.points[30] = self.factory.addPoint(radius_left+middle_length+radius_right+radius_right, 0, 0)
-
- self.lines[28] = self.factory.addLine(self.points[22],self.points[27])
- self.lines[29] = self.factory.addLine(self.points[21],self.points[24])
-
- else:
- vec1 = self.get_point(27) - self.get_point(24)
- p1 = self.get_point(27)
- vec2 = self.get_point(22) - self.get_point(21)
- p2 = self.get_point(22)
-
- new_point = intersect2D(p1, vec1, p2, vec2)
- self.points[30] = self.factory.addPoint(*new_point, 0)
-
- self.lines[28] = self.factory.addCircleArc(self.points[22],self.points[30],self.points[27])
- self.lines[29] = self.factory.addCircleArc(self.points[21],self.points[30],self.points[24])
-
- if isclose(angle_right_up+angle_right_down, 180):
- self.points[31] = self.factory.addPoint(radius_left+middle_length+radius_right+radius_right, 0, 0)
-
- self.lines[30] = self.factory.addLine(self.points[26],self.points[29])
- self.lines[31] = self.factory.addLine(self.points[24],self.points[25])
-
- else:
- vec1 = self.get_point(26) - self.get_point(24)
- p1 = self.get_point(26)
- vec2 = self.get_point(29) - self.get_point(25)
- p2 = self.get_point(29)
-
- new_point = intersect2D(p1, vec1, p2, vec2)
- self.points[31] = self.factory.addPoint(*new_point, 0)
-
- self.lines[30] = self.factory.addCircleArc(self.points[26],self.points[31],self.points[29])
- self.lines[31] = self.factory.addCircleArc(self.points[24],self.points[31],self.points[25])
-
- if isclose(angle_right_down, 180):
- self.points[32] = self.factory.addPoint(radius_left+middle_length+radius_right+radius_right, 0, 0)
-
- self.lines[32] = self.factory.addLine(self.points[28],self.points[23])
- self.lines[33] = self.factory.addLine(self.points[25],self.points[21])
- else:
- vec1 = self.get_point(23) - self.get_point(21)
- p1 = self.get_point(23)
- vec2 = self.get_point(28) - self.get_point(25)
- p2 = self.get_point(28)
-
- new_point = intersect2D(p1, vec1, p2, vec2)
- self.points[32] = self.factory.addPoint(*new_point, 0)
-
- self.lines[32] = self.factory.addCircleArc(self.points[28],self.points[32],self.points[23])
- self.lines[33] = self.factory.addCircleArc(self.points[25],self.points[32],self.points[21])
-
-
-
- self.lines[34] = self.factory.addLine(self.points[27], self.points[24])
- self.lines[35] = self.factory.addLine(self.points[24], self.points[26])
- self.lines[36] = self.factory.addLine(self.points[29], self.points[25])
- self.lines[37] = self.factory.addLine(self.points[25], self.points[28])
-
- vec = normalize(self.get_point(24) - self.get_point(20))
- new_point = self.get_point(24) + vec*branch_length
- self.points[33] = self.factory.addPoint(*new_point)
- p1 = np.cross(vec, [0,0,1])*width/2+new_point
- self.points[34] = self.factory.addPoint(*p1)
- p2 = np.cross(-vec, [0,0,1])*width/2+new_point
- self.points[35] = self.factory.addPoint(*p2)
-
- self.lines[38] = self.factory.addLine(self.points[27], self.points[35])
- self.lines[39] = self.factory.addLine(self.points[35], self.points[33])
- self.lines[40] = self.factory.addLine(self.points[33], self.points[34])
- self.lines[41] = self.factory.addLine(self.points[34], self.points[26])
- self.lines[42] = self.factory.addLine(self.points[24], self.points[33])
-
- vec = normalize(self.get_point(25) - self.get_point(20))
- new_point = self.get_point(25) + vec*branch_length
- self.points[36] = self.factory.addPoint(*new_point)
- p1 = np.cross(vec, [0,0,1])*width/2+new_point
- self.points[37] = self.factory.addPoint(*p1)
- p2 = np.cross(-vec, [0,0,1])*width/2+new_point
- self.points[38] = self.factory.addPoint(*p2)
-
- self.lines[43] = self.factory.addLine(self.points[29], self.points[38])
- self.lines[44] = self.factory.addLine(self.points[38], self.points[36])
- self.lines[45] = self.factory.addLine(self.points[36], self.points[37])
- self.lines[46] = self.factory.addLine(self.points[37], self.points[28])
- self.lines[47] = self.factory.addLine(self.points[25], self.points[36])
-
-
-
- # MESH
-
- if separation:
-
- tags = [self.lines[23],
- self.lines[28],
- self.lines[38],
- self.lines[39],
- -self.lines[42],
- -self.lines[29],
- -self.lines[27],
- self.lines[1],
- self.lines[17],
- -self.lines[14],
- -self.lines[13],
- -self.lines[2]]
- loop = self.factory.addCurveLoop(tags)
- self.surfaces[1] = self.factory.addPlaneSurface([loop])
-
- tags = [self.lines[15],
- self.lines[16],
- self.lines[4],
- -self.lines[21],
- -self.lines[20],
- -self.lines[22],
- -self.lines[3],
- self.lines[17]]
- loop = self.factory.addCurveLoop(tags)
- self.surfaces[2] = self.factory.addPlaneSurface([loop])
-
- tags = [self.lines[19],
- -self.lines[22],
- -self.lines[6],
- self.lines[27],
- -self.lines[33],
- self.lines[47],
- self.lines[45],
- self.lines[46],
- self.lines[32],
- self.lines[26],
- self.lines[5],
- self.lines[18]]
- loop = self.factory.addCurveLoop(tags)
- self.surfaces[3] = self.factory.addPlaneSurface([loop])
-
- tags = [self.lines[40],
- self.lines[41],
- self.lines[30],
- self.lines[43],
- self.lines[44],
- -self.lines[47],
- -self.lines[31],
- self.lines[42]]
- loop = self.factory.addCurveLoop(tags)
- self.surfaces[4] = self.factory.addPlaneSurface([loop])
-
-
- if mesh_center:
- tags = [self.lines[1],
- self.lines[6],
- -self.lines[3]]
- loop = self.factory.addCurveLoop(tags)
- self.surfaces[5] = self.factory.addPlaneSurface([loop])
-
- tags = [self.lines[31],
- self.lines[33],
- self.lines[29]]
- loop = self.factory.addCurveLoop(tags)
- self.surfaces[6] = self.factory.addPlaneSurface([loop])
-
-
- self.factory.synchronize()
-
- val = self.model.addPhysicalGroup(1, [self.lines[14], self.lines[15]], 100)
- self.model.setPhysicalName(1, val, 'bnd_left_up')
-
- val = self.model.addPhysicalGroup(1, [self.lines[19], self.lines[20]], 101)
- self.model.setPhysicalName(1, val, 'bnd_left_down')
-
- val = self.model.addPhysicalGroup(1, [self.lines[39], self.lines[40]], 102)
- self.model.setPhysicalName(1, val, 'bnd_right_up')
-
- val = self.model.addPhysicalGroup(1, [self.lines[44], self.lines[45]], 103)
- self.model.setPhysicalName(1, val, 'bnd_right_down')
-
- val = self.model.addPhysicalGroup(2, [self.surfaces[1]], 104)
- self.model.setPhysicalName(2, val, 'wall_up')
-
- val = self.model.addPhysicalGroup(2, [self.surfaces[2]], 105)
- self.model.setPhysicalName(2, val, 'wall_left')
-
- val = self.model.addPhysicalGroup(2, [self.surfaces[3]], 106)
- self.model.setPhysicalName(2, val, 'wall_down')
-
- val = self.model.addPhysicalGroup(2, [self.surfaces[4]], 107)
- self.model.setPhysicalName(2, val, 'wall_right')
-
- # if center is meshed, set physical group
- if 5 in self.surfaces.keys():
- val = self.model.addPhysicalGroup(2, [self.surfaces[5]], 108)
- self.model.setPhysicalName(2, val, 'center_right')
-
- val = self.model.addPhysicalGroup(2, [self.surfaces[6]], 109)
- self.model.setPhysicalName(2, val, 'center_left')
-
-
- else:
-
- tags = [-self.lines[15],
- -self.lines[14],
- -self.lines[13],
- -self.lines[2],
- self.lines[23],
- self.lines[28],
- self.lines[38],
- self.lines[39],
- self.lines[40],
- self.lines[41],
- self.lines[30],
- self.lines[43],
- self.lines[44],
- self.lines[45],
- self.lines[46],
- self.lines[32],
- self.lines[26],
- self.lines[5],
- self.lines[18],
- self.lines[19],
- self.lines[20],
- self.lines[21],
- -self.lines[4],
- -self.lines[16]]
- loop = self.factory.addCurveLoop(tags)
-
- self.surfaces[1] = self.factory.addPlaneSurface([loop])
-
- self.factory.synchronize()
-
- if not mesh_center:
- tags = [self.lines[1],
- self.lines[3],
- -self.lines[6]]
-
- loop = self.factory.addCurveLoop(tags)
-
- self.surfaces[2] = self.factory.addPlaneSurface([loop])
-
- tags = [self.lines[29],
- self.lines[31],
- self.lines[33]]
-
- loop = self.factory.addCurveLoop(tags)
-
- self.surfaces[3] = self.factory.addPlaneSurface([loop])
-
- self.factory.cut([(2, self.surfaces[1])], [(2, self.surfaces[2]), (2, self.surfaces[3])], removeObject=True, removeTool=True)
-
- self.factory.synchronize()
-
- val = self.model.addPhysicalGroup(1, [48, 49], 100)
- self.model.setPhysicalName(1, val, 'bnd_left_up')
-
- val = self.model.addPhysicalGroup(1, [56,58 ], 101)
- self.model.setPhysicalName(1, val, 'bnd_left_down')
-
- val = self.model.addPhysicalGroup(1, [61,63 ], 102)
- self.model.setPhysicalName(1, val, 'bnd_right_up')
-
- val = self.model.addPhysicalGroup(1, [70,71 ], 103)
- self.model.setPhysicalName(1, val, 'bnd_right_down')
-
- val = self.model.addPhysicalGroup(2, [1], 104)
- self.model.setPhysicalName(2, val, 'DoubleThreeWay')
-
- else:
-
- val = self.model.addPhysicalGroup(1, [self.lines[14], self.lines[15]], 100)
- self.model.setPhysicalName(1, val, 'bnd_left_up')
-
- val = self.model.addPhysicalGroup(1, [self.lines[19], self.lines[20]], 101)
- self.model.setPhysicalName(1, val, 'bnd_left_down')
-
- val = self.model.addPhysicalGroup(1, [self.lines[39], self.lines[40]], 102)
- self.model.setPhysicalName(1, val, 'bnd_right_up')
-
- val = self.model.addPhysicalGroup(1, [self.lines[44], self.lines[45]], 103)
- self.model.setPhysicalName(1, val, 'bnd_right_down')
-
- val = self.model.addPhysicalGroup(2, [self.surfaces[1]], 104)
- self.model.setPhysicalName(2, val, 'DoubleThreeWay')
-
-
-
-
- self.factory.synchronize()
- #
- # if not mesh_center:
- # tags = [self.lines[1],
- # self.lines[3],
- # -self.lines[6]]
- #
- # loop = self.factory.addCurveLoop(tags)
- #
- # self.surfaces[2] = self.factory.addPlaneSurface([loop])
- #
- # tags = [self.lines[29],
- # self.lines[31],
- # self.lines[33]]
- #
- # loop = self.factory.addCurveLoop(tags)
- #
- # self.surfaces[3] = self.factory.addPlaneSurface([loop])
- #
- # self.factory.cut([(2, self.surfaces[1])], [(2, self.surfaces[2]), (2, self.surfaces[3])], removeObject=True, removeTool=True)
- #
- # self.factory.synchronize()
- #
- # val = self.model.addPhysicalGroup(1, [48, 49], 100)
- # self.model.setPhysicalName(1, val, 'bnd_left_up')
- #
- # val = self.model.addPhysicalGroup(1, [56,58 ], 101)
- # self.model.setPhysicalName(1, val, 'bnd_left_down')
- #
- # val = self.model.addPhysicalGroup(1, [61,63 ], 102)
- # self.model.setPhysicalName(1, val, 'bnd_right_up')
- #
- # val = self.model.addPhysicalGroup(1, [70,71 ], 103)
- # self.model.setPhysicalName(1, val, 'bnd_right_down')
- #
- # val = self.model.addPhysicalGroup(2, [1], 104)
- # self.model.setPhysicalName(2, val, 'DoubleThreeWay')
- #
- # else:
- #
- # val = self.model.addPhysicalGroup(1, [self.lines[14], self.lines[15]], 100)
- # self.model.setPhysicalName(1, val, 'bnd_left_up')
- #
- # val = self.model.addPhysicalGroup(1, [self.lines[19], self.lines[20]], 101)
- # self.model.setPhysicalName(1, val, 'bnd_left_down')
- #
- # val = self.model.addPhysicalGroup(1, [self.lines[39], self.lines[40]], 102)
- # self.model.setPhysicalName(1, val, 'bnd_right_up')
- #
- # val = self.model.addPhysicalGroup(1, [self.lines[44], self.lines[45]], 103)
- # self.model.setPhysicalName(1, val, 'bnd_right_down')
- #
- # val = self.model.addPhysicalGroup(2, [self.surfaces[1]], 104)
- # self.model.setPhysicalName(2, val, 'DoubleThreeWay')
- #
- #
- # self.factory.synchronize()
-
-
-
-if __name__ =='__main__':
- from cellmesh.meshing import generateMesh
- from cellmesh.converter import convert_to_fenics
- import cellmesh
- cellmesh.initialize()
- cellwall = DoubleThreeWay()
- cellwall.generate(middle_length=7.4,
- branch_length=1.8,
- width=1,
- angle_left_up=160,
- angle_left_down=90,
- angle_right_up=95,
- angle_right_down=160,
- radius_left=1,
- radius_right=1,
- mesh_center=True,
- separation=True)
-
-
- generateMesh(cellwall, 0.05, 'DoubleThreeWay.msh')
- cellwall.run_gui()
- cellmesh.finalize()
- #
- import meshio
-
- # mesh = meshio.read('DoubleThreeWay.msh')
- # convert_to_fenics('DoubleThreeWay.msh')
diff --git a/legacy/cellmesh/geometry/p194-t4_L1_poly.ply b/legacy/cellmesh/geometry/p194-t4_L1_poly.ply
deleted file mode 100644
index 46b5e818fb92e79099cd7afcdd98381529c7bcc8..0000000000000000000000000000000000000000
--- a/legacy/cellmesh/geometry/p194-t4_L1_poly.ply
+++ /dev/null
@@ -1,3538 +0,0 @@
-ply
-format ascii 1.0
-element vertex 1025
-property float x
-property float y
-property float z
-element face 491
-property list int int vertex_index
-element edge 1515
-property int source
-property int target
-property list int int face_index
-element volume 491
-property list int int face_index
-property int label
-end_header
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diff --git a/legacy/cellmesh/geometry/topomesh.py b/legacy/cellmesh/geometry/topomesh.py
deleted file mode 100644
index c5de57b04c97630cc81a51cb3dbf841fe139b40a..0000000000000000000000000000000000000000
--- a/legacy/cellmesh/geometry/topomesh.py
+++ /dev/null
@@ -1,114 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# cellmesh.geometry.topomesh
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-
-
-from cellmesh.geometry.abstract import AbstractGeometry, factory
-from cellcomplex.property_topomesh.analysis import compute_topomesh_property
-from cellcomplex.property_topomesh.extraction import clean_topomesh
-
-import logging, time
-
-#
-# @factory('occ')
-# class Topomesh(AbstractGeometry):
-#
-# def generate(self, topomesh):
-# compute_topomesh_property(topomesh, 'barycenter', 0)
-# compute_topomesh_property(topomesh, 'oriented_vertices', 2)
-#
-# points = []
-# for id, point in topomesh.wisp_property('barycenter', 0).items():
-# p = self.factory.addPoint(point[0], point[1], point[2])
-# points.append(p)
-#
-# lines = []
-# surface = []
-# start = time.time()
-# logging.info('Constructing topomesh face geometry')
-# for id_faces, id_vertices in topomesh.wisp_property('oriented_vertices', 2).items():
-# nb_vertices = len(id_vertices)
-# for i in range(nb_vertices):
-# id1 = id_vertices[i]
-# id2 = id_vertices[(i + 1) % (nb_vertices)]
-# #print('line: {id1} -> {id2}; {p1} -> {p2}'.format(id1=id1, id2=id2, p1=points[id1], p2=points[id2]))
-# lines.append(self.factory.addLine(points[id1], points[id2]))
-# l = self.factory.addCurveLoop(lines)
-# s = self.factory.addSurfaceFilling(l, id_faces)
-# surface.append(s)
-# lines = []
-# end = time.time()
-# logging.info('-> Finish in [{t} s]'.format(t=end-start))
-# # Need to synchronize before applying physical surface
-# self.factory.removeAllDuplicates()
-# self.factory.synchronize()
-#
-# start = time.time()
-# logging.info('Adding tags for physical surfaces')
-# for tag in surface:
-# self.model.addPhysicalGroup(2, [tag], tag)
-# end = time.time()
-# logging.info('-> Finish in [{t} s]'.format(t=end-start))
-#
-# self.factory.synchronize()
-
-
-
-@factory('occ')
-class Topomesh(AbstractGeometry):
-
- def generate(self, topomesh, clean=True):
-
- if clean==True:
- clean_topomesh(topomesh)
-
- compute_topomesh_property(topomesh, 'barycenter', 0)
- compute_topomesh_property(topomesh, 'oriented_borders', 2)
-
-
- self.points = {id: self.factory.addPoint(*point, tag=id) for id, point in topomesh.wisp_property('barycenter', 0).items()}
-
- self.lines = {id: self.factory.addLine(*topomesh.borders(1,id), tag=id) for id in topomesh.wisps(1)}
-
- self.surfaces = {id: self.factory.addSurfaceFilling(self.factory.addCurveLoop(edges[0]), tag=id) for id, edges in topomesh.wisp_property('oriented_borders', 2).items()}
-
- self.factory.synchronize()
-
- [self.model.addPhysicalGroup(1, [id], id) for id in self.lines.keys()]
- [self.model.addPhysicalGroup(2, [id], id) for id in self.surfaces.keys()]
-
- self.factory.synchronize()
-
-
-if __name__ == '__main__':
- from cellcomplex.property_topomesh.io import read_ply_property_topomesh
- import cellmesh
- import gmsh
- topo = read_ply_property_topomesh('/Users/florian/code/mosaic/cellmesh/share/data/example.ply')
-
- cellmesh.initialize()
- geom = Topomesh()
- geom.generate(topo)
- # geom.run_gui()
-
- from cellmesh.meshing import generateMesh
- from cellmesh.converter import convert_to_fenics
-
- generateMesh(geom, 0.1, 'test.msh')
- convert_to_fenics('test.msh')
diff --git a/legacy/cellmesh/geometry/utils.py b/legacy/cellmesh/geometry/utils.py
deleted file mode 100644
index 6d7bdf30bf7a78212d1500cd197bb687b32f8bc1..0000000000000000000000000000000000000000
--- a/legacy/cellmesh/geometry/utils.py
+++ /dev/null
@@ -1,50 +0,0 @@
-import numpy as np
-from math import isclose
-
-def normalize(vec):
- return vec/np.linalg.norm(vec)
-
-
-def intersect2D(p1, v1, p2, v2):
-
- if isclose(v1[0],0):
- x1 = 1
- y1 = 0
- b1 = p1[0]
- elif isclose(v1[1],0):
- x1 = 0
- y1 = 1
- b1 = p1[1]
- else:
- x1 = v1[1]/v1[0]
- y1 = -1
- b1 = -(p1[1] - x1*p1[0])
-
- if isclose(v2[0],0):
- x2 = 1
- y2 = 0
- b2 = p2[0]
- elif isclose(v2[1],0):
- x2 = 0
- y2 = 1
- b2 = p2[1]
- else:
- x2 = v2[1]/v2[0]
- y2 = -1
- b2 = -(p2[1] - x2*p2[0])
-
- A = np.array([[x1, y1],[x2, y2]])
- B = np.array([b1, b2])
- inter = np.linalg.solve(A,B)
-
- return inter
-
-if __name__ == "__main__":
-
- p1 = np.array([0,0,0])
- v1 = np.array([1,1,0])
-
- p2 = np.array([3,0,0])
- v2 = np.array([-1,1,0])
-
- intersect2D(p1, v1, p2, v2)
diff --git a/legacy/cellmesh/meshing.py b/legacy/cellmesh/meshing.py
deleted file mode 100644
index a969f8033fc2e21d962c720218950d14ed0c68d9..0000000000000000000000000000000000000000
--- a/legacy/cellmesh/meshing.py
+++ /dev/null
@@ -1,186 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# cellmesh.meshing
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-
-import fenics as fe
-from copy import deepcopy
-import numpy as np
-import gmsh
-
-_gmsh_algo = {'MeshAdapt': 1, 'Automatic': 2,
- 'Delaunay': 5, 'Frontal-Delaunay': 6}
-
-
-def generateMesh(geometry, cell_size, path, dim=2, algorithm='Delaunay'):
- """Generate the Gmsh mesh.
-
- Parameters
- ----------
- geometry : cellmesh.mesh.meshing.GeometryCreator
- Input geometry to mesh.
- cell_size : float
- Size of the mesh.
- algorithm : str
- Type of meshing algorithm (MeshAdapt, Delaunay, Frontal-Delaunay).
-
- -------
- fe.Mesh, dict
- FEniCS mesh and data inside a dict.
-
- """
- gmsh.option.setNumber("Mesh.Algorithm", _gmsh_algo[algorithm])
- gmsh.option.setNumber("Mesh.CharacteristicLengthMin", cell_size)
- gmsh.option.setNumber("Mesh.CharacteristicLengthMax", cell_size)
-
- geometry.model.mesh.generate(dim)
-
- gmsh.write(path)
-
-
-
-def create_mesh_fenics(vertices, cells, type='triangle', top=2, dim=3, data=None):
- if len(vertices[0,:])==2:
- vertices = np.c_[vertices, np.zeros(len(vertices))]
- mesh = fe.Mesh()
-
- editor = fe.MeshEditor()
- editor.open(mesh, type, top, dim)
- editor.init_vertices(len(vertices))
- editor.init_cells(len(cells))
-
- [editor.add_vertex(ind, point) for ind, point in enumerate(vertices)]
- [editor.add_cell(ind, cell) for ind, cell in enumerate(cells)]
-
- editor.close()
-
- mesh.order()
-
- if data is None:
- return mesh
-
- else:
-
- dim = np.array(data[0]).shape
- if dim == ():
- print('Scalar Expression')
-
- class UserExpr(fe.UserExpression):
- def __init__(self, data, **kwargs):
- super().__init__(**kwargs)
- self.data = data
-
- def eval_cell(self, value, x, ufc_cell):
- ind = ufc_cell.index
- value[0] = self.data[ind]
-
- def value_shape(self):
- return dim
-
- elif len(dim) == 1 or len(dim) == 2:
- print('Tensor/Vector Expression')
-
- class UserExpr(fe.UserExpression):
- def __init__(self, data, **kwargs):
- super().__init__(**kwargs)
- self.data = data
-
- def eval_cell(self, value, x, ufc_cell):
- ind = ufc_cell.index
- val = self.data[ind]
- for ind, v in enumerate(val):
- value[ind]= v
-
- def value_shape(self):
- return dim
-
- return mesh, UserExpr(data)
-
-
-def quality(mesh, figure, bins=100):
- qual = [c.radius_ratio() for c in fe.cells(mesh)]
- figure.gca().hist(qual, range=(0,1), bins=bins)
- figure.gca().set_xlabel('Quality')
- figure.gca().set_ylabel('Nb Triangles')
-
-
-def vertex_neighborhood(vertex):
- id = vertex.index()
- mesh = vertex.mesh()
- v_ids = [fe.Edge(mesh, i).entities(0) for i in vertex.entities(1)]
- v_ids = np.array(v_ids).flatten()
- v_ids = v_ids[v_ids !=id]
-
- return v_ids
-
-
-# TODO: Add weights to laplace smoothing (distance between vertices)
-def laplacian_smoothing(mesh):
- mesh.init(0,1)
- bnd_mesh = fe.BoundaryMesh(mesh, 'exterior')
- bnd_vertices = bnd_mesh.entity_map(0).array()
- len_coord = len(mesh.coordinates()[0,:])
- ind_vertex = np.arange(len(mesh.coordinates()))
- ind_vertex = list(set(ind_vertex)-set(bnd_vertices))
-
- coord = deepcopy(mesh.coordinates())
- for ind in ind_vertex:
- v = fe.Vertex(mesh, ind)
- neighbors = vertex_neighborhood(v)
- new_pos = np.mean([fe.Vertex(mesh, id_neighbor).point().array()[:len_coord] for id_neighbor in neighbors], axis=0)
- coord[ind] = new_pos
-
- coord = coord[:, :len_coord]
- mesh.coordinates()[:] = coord
-
-
-
-if __name__ == "__main__":
- import fenics as fe
-
- import time
-
- # points = [[0,0,0],
- # [0,1,0],
- # [1,0,0]]
- #
- # tri = [[0,1,2]]
- # m=create_mesh_fenics(points, tri)
- # print(m.coordinates())
-
- mesh =fe.UnitSquareMesh(10,10)
- s = time.time()
- laplacian_smoothing(mesh)
- e = time.time()
- print(e-s)
-
- # s = time.time()
- # laplacian_smoothingV2(mesh)
- # e = time.time()
- # print(e-s)
-
-
- # print(m.coordinates())
- # m.init(0,1)
- # v = fe.Vertex(m, 0)
- # print(vertex_neighborhood(v))
- #
- # import matplotlib.pyplot as plt
- # f = plt.figure(1)
- # quality(fe.UnitSquareMesh(10,10), f)
- # f.show()
diff --git a/legacy/cellmesh/version.py b/legacy/cellmesh/version.py
deleted file mode 100644
index ccc6bc2ae4d095536ccd78fa257c02b256f48031..0000000000000000000000000000000000000000
--- a/legacy/cellmesh/version.py
+++ /dev/null
@@ -1,18 +0,0 @@
-"""
-Maintain version for this package.
-Do not edit this file, use 'version' section of config.
-"""
-# {# pkglts, version
-# -*- coding: utf-8 -*-
-
-MAJOR = 0
-"""(int) Version major component."""
-
-MINOR = 9
-"""(int) Version minor component."""
-
-POST = 4
-"""(int) Version post or bugfix component."""
-
-__version__ = f"{MAJOR:d}.{MINOR:d}.{POST:d}"
-# #}
diff --git a/legacy/femtk/__init__.py b/legacy/femtk/__init__.py
deleted file mode 100644
index 4490a69d9e238af8b19109c18839c2f4e53c684b..0000000000000000000000000000000000000000
--- a/legacy/femtk/__init__.py
+++ /dev/null
@@ -1,41 +0,0 @@
-"""
-Package providing tool to run FEM simulation on multi-cellular tissues
-"""
-# {# pkglts, src
-# FYEO
-# #}
-# {# pkglts, version, after src
-from . import version
-
-__version__ = version.__version__
-# #}
-
-import logging
-from fenics import MPI as _MPI
-
-logger = logging.getLogger('femtk')
-logger.setLevel(logging.INFO)
-_formatter = logging.Formatter('%(levelname)s(femtk): %(message)s')
-_ch = logging.StreamHandler()
-_ch.setLevel(logging.INFO)
-_ch.setFormatter(_formatter)
-logger.addHandler(_ch)
-logger.propagate = False
-
-# LOG_FMT = '%(levelname)s(femtk): %(message)s'
-# - Set the logging format and level:
-# logging.basicConfig(format=LOG_FMT, level=logging.INFO)
-
-# logging FFC
-_ffc_logger = logging.getLogger('FFC')
-_ffc_logger.setLevel(logging.WARNING)
-
-# logging UFL
-_ufl_logger = logging.getLogger('UFL')
-_ufl_logger.setLevel(logging.WARNING)
-
-_dijitso_logger = logging.getLogger('dijitso')
-_dijitso_logger.setLevel(logging.WARNING)
-
-
-MPI_COMM_WORLD = _MPI.comm_world
diff --git a/legacy/femtk/boundary_conditions/__init__.py b/legacy/femtk/boundary_conditions/__init__.py
deleted file mode 100644
index e69de29bb2d1d6434b8b29ae775ad8c2e48c5391..0000000000000000000000000000000000000000
diff --git a/legacy/femtk/boundary_conditions/dirichlet.py b/legacy/femtk/boundary_conditions/dirichlet.py
deleted file mode 100644
index 878a5dbd839f193cf6a6bdb1fb6b4967d374cf99..0000000000000000000000000000000000000000
--- a/legacy/femtk/boundary_conditions/dirichlet.py
+++ /dev/null
@@ -1,157 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# femtk.boundary_conditions.dirichlet
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-import fenics as fe
-from femtk import logger
-
-import numpy as np
-from sympy import Symbol
-from sympy.parsing.sympy_parser import parse_expr
-
-_XYZ = {'x': Symbol('x[0]'),
- 'y': Symbol('x[1]'),
- 'z': Symbol('x[2]')}
-
-
-class ConstantDirichlet(object):
- """Class that define a constant Dirichlet condition on a domain.
-
- Parameters
- ----------
- val : float, int, list, tuple
- The value of the dirichlet
- domain : :class:`Domain<femtk.boundary_conditions.domains.Domain>`
- Class definig the domain of the boundary condition.
-
- """
-
- def __init__(self, val, domain, method='topological', subspace=None):
- assert isinstance(val, (float, int, list, tuple, np.ndarray))
- self._domain = domain
- self._val = val
- self._method = method
- self._subspace = subspace
-
- def apply(self, functionSpace):
- if self._subspace is None:
- dir = fe.DirichletBC(functionSpace,
- fe.Constant(self._val), self._domain(),
- method=self._method)
- else:
- dir = fe.DirichletBC(functionSpace.sub(self._subspace),
- fe.Constant(self._val),
- self._domain(), method=self._method)
-
- if not dir.get_boundary_values():
- logger.warning('No nodes are marked for this domain: '
- + str(self._domain._string))
-
- return dir
-
- def __repr__(self):
- return "<ConstantDirichlet object, location: "\
- + str(self._domain._string) + ", value: " + str(self._val)+">"
-
-
-class VariableDirichlet(object):
- """Class that define a variable Dirichlet condition on a domain.
-
- Parameters
- ----------
- val : str
- The string compiled in C++.
- domain : :class:`Domain<femtk.boundary_conditions.domains.Domain>`
- Class definig the domain of the boundary condition.
-
- """
-
- def __init__(self, val, domain,
- method='topological', subspace=None, degree=None):
- assert isinstance(val, str)
- self._domain = domain
- self._val = val
- self._method = method
- self._subspace = subspace
- self._degree = degree
-
- def apply(self, functionSpace):
- parse = parse_expr(self._val, local_dict=_XYZ, evaluate=False)
- if self._degree is None:
- expr = fe.Expression(str(parse),
- element=functionSpace.ufl_element())
- else:
- expr = fe.Expression(str(parse), degree=self._degree)
-
- if self._subspace is None:
- dir = fe.DirichletBC(functionSpace, expr,
- self._domain(),
- method=self._method)
- else:
- dir = fe.DirichletBC(functionSpace.sub(self._subspace),
- expr,
- self._domain(),
- method=self._method)
-
- if not dir.get_boundary_values():
- logger.warning('No nodes are marked for this domain: '
- + str(self._domain._string))
-
- return dir
-
- def __repr__(self):
- return "<VariableDirichlet object, location: "\
- + str(self._domain._string) + ", value: " + str(self._val) + ">"
-
-
-# ------------------------------------------------------------------------------
-
-
-class ZeroDirichlet(ConstantDirichlet):
- """Implement a zero Dirichlet condition on a Domain.
-
- Parameters
- ----------
- domain : :class:`Domain<femtk.boundary_conditions.domains.Domain>`
- Class definig the domain of the boundary condition.
- shape : tuple
- Shape of the value for the Dirichlet condition.
-
- """
-
- def __init__(self, domain, shape=0):
- if shape == 0:
- super().__init__(0, domain)
- else:
- super().__init__(np.zeros(shape), domain)
-
-
-if __name__ == '__main__':
-
- mesh = fe.UnitSquareMesh(2, 2)
- V = fe.FunctionSpace(mesh, 'P', 1)
- coord_dof = V.tabulate_dof_coordinates()
-
- from femtk.boundary_conditions.domains import Domain
- domain = Domain("near(x, a)", a=0.5) | Domain("near(y, b)", b=0)
-
- c_dir = ConstantDirichlet(0, domain)
- c_dir.apply(V)
-
- v_dir = VariableDirichlet('1 + x*x + 2*y*y', domain)
- v_dir.apply(V)
diff --git a/legacy/femtk/boundary_conditions/domains.py b/legacy/femtk/boundary_conditions/domains.py
deleted file mode 100644
index de52750e4673f88c21404721e9f41edab0e9b5f7..0000000000000000000000000000000000000000
--- a/legacy/femtk/boundary_conditions/domains.py
+++ /dev/null
@@ -1,193 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# femtk.boundary_conditions.domains
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-
-import fenics as fe
-from sympy import And, Function, Or, Symbol
-from sympy.parsing.sympy_parser import parse_expr
-
-from femtk import MPI_COMM_WORLD, logger
-
-_XYZ = {'x': Symbol('x[0]'),
- 'y': Symbol('x[1]'),
- 'z': Symbol('x[2]'),
- 'border': Symbol('on_boundary'),
- 'near': Function('near')}
-
-
-class Domain(object):
- """Short summary.
-
- Parameters
- ----------
- expr : type
- Description of parameter `expr`.
- **kwargs : type
- Description of parameter `**kwargs`.
-
- Attributes
- ----------
- _expr : type
- Description of attribute `_expr`.
- _domain : type
- Description of attribute `_domain`.
- _kwargs : type
- Description of attribute `_kwargs`.
-
- """
-
- def __init__(self, expr, **kwargs):
- self._string = expr
- self._expr = parse_expr(expr, local_dict=_XYZ, evaluate=False)
- self._domain = fe.CompiledSubDomain(str(self._expr), **kwargs,
- mpi_comm=MPI_COMM_WORLD)
- self._kwargs = kwargs
-
- def __call__(self):
- return self._domain
-
- def __or__(self, other):
- new = Domain('near(x, 0)')
- s1 = Symbol(str(self._expr))
- s2 = Symbol(str(other._expr))
- new._expr = Or(s1, s2)
- new._string = self._string+' | '+other._string
- new._kwargs = {**self._kwargs, **other._kwargs}
- str_expr = str(new._expr).replace('&', '&&').replace('|', '||')
- new._domain = fe.CompiledSubDomain(str_expr, **new._kwargs,
- mpi_comm=MPI_COMM_WORLD)
- return new
-
- def __and__(self, other):
- new = Domain('near(x, 0)')
- s1 = Symbol(str(self._expr))
- s2 = Symbol(str(other._expr))
- new._expr = And(s1, s2)
- new._string = self._string+' & '+other._string
- new._kwargs = {**self._kwargs, **other._kwargs}
- str_expr = str(new._expr).replace('&', '&&').replace('|', '||')
- logger.debug('expression in and: %s ', str_expr)
- new._domain = fe.CompiledSubDomain(str_expr, **new._kwargs,
- mpi_comm=MPI_COMM_WORLD)
-
- return new
-
- def markMeshFunction(self, valueTrue,
- mesh=None, valueFalse=0, meshfunc=None,
- dim_topology=0, type='double'):
- if meshfunc is not None:
- self._domain.mark(meshfunc, valueTrue)
- else:
- meshfunc = fe.MeshFunction(type, mesh, dim_topology)
- meshfunc.set_all(valueFalse)
- self._domain.mark(meshfunc, valueTrue)
-
- return meshfunc
-
-
-def createDomainFromNormalPoint(normal, point):
- """Create a Boundary class from a a normal and a point as a plane.
-
- Parameters
- ----------
- normal : type
- Description of parameter `normal`.
- point : type
- Description of parameter `point`.
-
- Returns
- -------
- type
- Description of returned object.
-
- """
- if normal[0] != 0:
- str_expr = 'near(x,(-' + str(normal[1]) + '*(y - ' + str(point[1]) +\
- ') - ' + str(normal[2]) + '*(z -'+str(point[2]) + '))/' +\
- str(normal[0]) + ' + ' + str(point[0]) + ')'
- elif normal[1] != 0:
- str_expr = 'near(y,(-' + str(normal[0]) + '*(x - ' + str(point[0]) +\
- ') - ' + str(normal[2]) + '*(z -' + str(point[2]) + '))/' +\
- str(normal[1]) + ' + ' + str(point[1]) + ')'
- elif normal[2] != 0:
- str_expr = 'near(z,(-' + str(normal[0]) + '*(x - ' + str(point[0]) +\
- ') - ' + str(normal[1]) + '*(y -' + str(point[1]) + '))/' +\
- str(normal[2]) + ' + ' + str(point[2]) + ')'
-
- return Domain(str_expr)
-
-
-def createSubdomain(str_expr):
- """Create a mesh function with label that mark the entities of the mesh.
-
- Parameters
- ----------
- str_expr : str
- equality or inequality, use 'near(x, val)' instead of 'x == val'.
- Reserved string : x,y,z for spatial coord, near and border for marking
- the whole booundary.
- index : int
- Index to use as a label.
- meshfunc : type
- Description of parameter `meshfunc`.
- dim_topology : type
- Description of parameter `dim_topology`.
- mesh : type
- Description of parameter `mesh`.
-
- Returns
- -------
- type
- The corresponding mesh function.
-
- Examples
- --------
- >>> domain = createSubdomain("x>0.5", 1, dim_topology=0, mesh=mesh)
- >>> domain_2 = createSubdomain("y < 2", 2, meshfunc=domain)
-
- """
-
- expr = parse_expr(str_expr, local_dict=_XYZ, evaluate=False)
- domain = fe.CompiledSubDomain(str(expr), mpi_comm=MPI_COMM_WORLD)
-
- return domain
-
-
-if __name__ == '__main__':
- logger.setLevel(10)
-
- mesh = fe.UnitSquareMesh(2, 2)
- domain = Domain("near(x, a)", a=0.5) | Domain("near(y, b)", b=0)
-
- mf = domain.markMeshFunction(2, mesh)
-
- domain2 = Domain('x > 0') & Domain('border')
- domain2.markMeshFunction(29, meshfunc=mf)
-
- print(mf.array())
-
- from femtk.boundary_conditions.dirichlet import ConstantDirichlet
- V = fe.FunctionSpace(mesh, 'P', 1)
-
- dir = ConstantDirichlet(0, domain)
-
- fenicsdir = dir.apply(V)
-
- dom_plan = createDomainFromNormalPoint([0, 0, 1], [0, 0, 0])
- dom_plan._expr
diff --git a/legacy/femtk/boundary_conditions/neumann.py b/legacy/femtk/boundary_conditions/neumann.py
deleted file mode 100644
index a4da0dbc792652493636c624f6825b34dc4df1bd..0000000000000000000000000000000000000000
--- a/legacy/femtk/boundary_conditions/neumann.py
+++ /dev/null
@@ -1,144 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# femtk.boundary_conditions.neumann
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-import fenics as fe
-from femtk.utils.interface import create_expression
-
-import numpy as np
-
-
-class NeumannInterface(object):
- """Base class for Neumann boundary conditions.
-
- Parameters
- ----------
- val : float, int, list, tuple or str
- The value of the Neumann condtion.
- domain : :class:`Domain<femtk.boundary_conditions.domains.Domain>`
- Class definig the domain of the boundary condition.
- ind : int
- The index of the condtion (optionnal, must be unique among all
- the Neumann conditions)
-
- Attributes
- ----------
- _id : int
- Id of the condition.
- _domain : :class:`Domain<femtk.boundary_conditions.domains.Domain>`
- Class definig the domain of the boundary condition.
- _val : float, int, list, tuple or str
- The value of the Neumann condtion.
- _counter : int
- The counter of the number of instanciated Neumann class
-
- """
- _counter = 0
-
- def __init__(self, val, domain, ind=None):
- if ind is None:
- NeumannInterface._counter += 1
- self._id = NeumannInterface._counter
- else:
- self._id = ind
-
- self._domain = domain
- self._val = val
-
- def apply(self):
- raise NotImplementedError
-
- def markMeshFunction(self, mf):
- self._domain.markMeshFunction(self._id, meshfunc=mf)
-
- def __repr__(self):
- return "<" + self.__class__.__name__ + " object, location: " +\
- str(self._domain._string) + ", value: " + str(self._val) + ">"
-
-
-class ConstantNeumann(NeumannInterface):
- """Short summary.
-
- Parameters
- ----------
- val : float, int, list, tuple
- Value of the Neumann condition.
- domain : :class:`Domain<femtk.boundary_conditions.domains.Domain>`
- Class definig the domain of the boundary condition.
- ind : int
- The index of the condtion (optionnal, must be unique among all
- the Neumann conditions)
-
- """
-
- def __init__(self, val, domain, ind=None):
- assert isinstance(val, (float, int, list, tuple, np.ndarray))
- super().__init__(val, domain, ind)
-
- def apply(self, mf=None):
- if mf is not None:
- assert mf.dim() == 1, "MeshFunction must be\
- on topological degree 1"
- self._domain.markMeshFunction(self._id, meshfunc=mf)
- return fe.Constant(self._val)
-
-
-class VariableNeumann(NeumannInterface):
- """Short summary.
-
- Parameters
- ----------
- val : str
- The string compiled in C++.
- domain : :class:`Domain<femtk.boundary_conditions.domains.Domain>`
- Class definig the domain of the boundary condition.
- ind : int
- The index of the condtion (optionnal, must be unique among all
- the Neumann conditions)
-
- """
-
- def __init__(self, val, domain, ind=None, degree=None):
- assert isinstance(val, str)
- super().__init__(val, domain, ind)
- self._degree = degree
-
- def apply(self, functionspace, mf=None):
- if mf is not None:
- assert mf.dim() == 1, "MeshFunction must be\
- on topological degree 1"
- self._domain.markMeshFunction(self._id, meshfunc=mf)
- return create_expression(self._val, functionspace, degree=self._degree)
-
-
-if __name__ == '__main__':
-
- from femtk.boundary_conditions.domains import Domain
-
- mesh = fe.UnitSquareMesh(2, 2)
- mf = fe.MeshFunction('size_t', mesh, 1)
- V = fe.FunctionSpace(mesh, 'P', 1)
-
- d1 = Domain("near(x, 0)")
-
- c1 = ConstantNeumann(0, 1)
-
- v3 = VariableNeumann("0", 1)
- c2 = ConstantNeumann(0, 1)
- v4 = VariableNeumann("9", d1)
- v4.apply(V, mf)
diff --git a/legacy/femtk/problems/__init__.py b/legacy/femtk/problems/__init__.py
deleted file mode 100644
index e69de29bb2d1d6434b8b29ae775ad8c2e48c5391..0000000000000000000000000000000000000000
diff --git a/legacy/femtk/problems/abstract_problem.py b/legacy/femtk/problems/abstract_problem.py
deleted file mode 100644
index f41c4abf66691f06daafe7a167973027e95645c5..0000000000000000000000000000000000000000
--- a/legacy/femtk/problems/abstract_problem.py
+++ /dev/null
@@ -1,395 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# femtk.abstract.abstract_problem
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-
-import fenics as fe
-from ufl.classes import Zero
-import json
-
-from femtk.boundary_conditions.dirichlet import (ConstantDirichlet,
- VariableDirichlet)
-from femtk.boundary_conditions.neumann import ConstantNeumann, VariableNeumann
-from femtk.utils.interface import FenicsFunctionConverter
-from femtk import logger
-
-
-class AbstractProblem():
- """Abstract class for problem. Define all the common attributes and methods
- for variational problem definition.
-
- """
-
- def __init__(self):
- self.mesh = None
- self.solutionDimension = None
- self.functionSpace = None
-
- self.dirichletCondition = []
- self._dirichlet_class = []
- self.neumannCondition = Zero()
- self._neumann_class = []
- self.pointSource = None
-
- self.rhs = Zero()
- self.lhs = Zero()
-
- self.solver = None
- self.trialFunction = None
- self.testFunction = None
- self.solution = None
-
- self._meshfunction = None
-
- def set_mesh(self, mesh, deepcopy=False):
- """Set mesh for the problem.
-
- Parameters
- ----------
- mesh : :class:`dolfin.cpp.mesh.Mesh<dolfin.cpp.mesh.Mesh>`
- Mesh to set.
- deepcopy : bool, optional
- Do a deepcopy of input mesh or not
-
- Returns
- -------
-
- """
-
- if isinstance(mesh, fe.Mesh):
- if deepcopy:
- self.mesh = fe.Mesh(mesh)
- else:
- self.mesh = mesh
- elif isinstance(mesh, str):
- self.mesh = fe.Mesh(mesh)
-
- self.geometricDimension = self.mesh.geometric_dimension()
- self._ds = fe.ds(domain=self.mesh)
- self._meshfunction = fe.MeshFunction('size_t', self.mesh, 1)
- self._meshfunction.set_all(0)
- self._ds = fe.Measure('ds', domain=self.mesh,
- subdomain_data=self._meshfunction)
-
- def show_solver_parameters(self):
- """Print the solver parameters.
-
- Returns
- -------
- None
-
- """
- print(json.dumps(self.solver.parameters._param, indent=2))
-
- def solver_parameter(self, **kwargs):
- """Set parameter for the solver.
-
- Parameters
- ----------
- **kwargs : type
- Description of parameter `**kwargs`.
-
- """
- parameters = self.solver.parameters._param
- krylov_parameter = self.solver.parameters._param['krylov']
-
- for key in kwargs.keys():
- if key in parameters:
- parameters[key] = kwargs[key]
- elif key in krylov_parameter:
- krylov_parameter[key] = kwargs[key]
- else:
- logger.warn(str(key) + 'is not in the list of parameter')
-
- def set_function_space(self, type, degree,
- dim='scalar',
- name_solution='solution'):
- """Set function space
-
- Parameters
- ----------
- type : string
- type of finite element (Lagrange, ...).
- degree : int
- Degree of finite element.
- dim : string, optional
- Scalar, vector or tensor function space.
- name_solution : string, optional
- Set a name to solution.
-
- Returns
- -------
-
- """
-
- self.solutionDimension = dim
-
- if dim == 'scalar':
- self.functionSpace = fe.FunctionSpace(self.mesh, type, degree)
- elif dim == 'vector':
- self.functionSpace = fe.VectorFunctionSpace(
- self.mesh, type, degree)
- elif dim == 'tensor':
- self.functionSpace = fe.TensorFunctionSpace(
- self.mesh, type, degree)
-
- self.trialFunction = fe.TrialFunction(self.functionSpace)
- self.testFunction = fe.TestFunction(self.functionSpace)
- self.solution = fe.Function(self.functionSpace, name=name_solution)
-
- def apply_dirichlet(self, dir_class):
- """Add a Dirichlet boundary condition to the problem.
-
- Parameters
- ----------
- dir_class : :class:`ConstantDirichlet<femtk.boundary_conditions.
- dirichlet.ConstantDirichlet>`
- or
- :class:`VariableDirichlet<femtk.boundary_conditions.
- dirichlet.VariableDirichlet>`
- Class representing a Dirichlet boundary condition.
- method : str
- Method to apply Dirichlet ('topological', 'geometrical'
- or 'pointwise').
- subspace : int
- Index of the subspace to constrain (optional)
- degree : int
- Optional argument to determine the degree for
- :class:`VariableDirichlet<femtk.boundary_conditions.
- dirichlet.VariableDirichlet>`
-
- Returns
- -------
-
- """
-
- self.dirichletCondition.append(dir_class.apply(self.functionSpace))
-
- def apply_neumann(self, neumann):
- """Apply a Neumann boundary condition to the problem.
-
- Parameters
- ----------
- neumann : :class:`ConstantNeumann<femtk.boundary_conditions.
- neumann.ConstantNeumann>`
- or :class:`VariableNeumann<femtk.boundary_conditions.
- neumann.VariableNeumann>`
- Class representing a Neumann condition
- degree : int
- Optional argument to determine the degree for
- :class:`VariableNeumann<femtk.boundary_conditions.
- neumann.VariableNeumann>`
-
- Returns
- -------
-
- """
- if isinstance(neumann, VariableNeumann):
- val = neumann.apply(self.functionSpace, self._meshfunction)
- elif isinstance(neumann, ConstantNeumann):
- val = neumann.apply(self._meshfunction)
- val.rename('neumann', 'label')
- self.neumannCondition += fe.dot(val, self.testFunction) *\
- self._ds(neumann._id)
-
- def add_boundary_condition(self, bnd_cond,
- method='topological',
- subspace=None,
- degree=None):
- """Add a boundary condition to the problem (Dirichlet or Neumann).
-
- Parameters
- ----------
- bnd_cond : :class:`ConstantDirichlet<femtk.boundary_conditions.
- dirichlet.ConstantDirichlet>`,
- :class:`VariableDirichlet<femtk.boundary_conditions.
- dirichlet.VariableDirichlet>`,
- :class:`ConstantNeumann<femtk.boundary_conditions.
- neumann.ConstantNeumann>` or
- :class:`VariableNeumann<femtk.boundary_conditions.
- neumann.VariableNeumann>`
- Class representing a boundary condition
- method : str
- Method to apply Dirichlet condition
- subspace : int
- Index of the subspace to constrain for Dirichlet (optional)
- degree : int
- Optional argument to determine the degree for
- :class:`VariableNeumann<femtk.boundary_conditions.
- neumann.VariableNeumann>`
- and :class:`VariableDirichlet<femtk.boundary_conditions.
- dirichlet.VariableDirichlet>`
-
- Returns
- -------
-
- """
- if not isinstance(bnd_cond, (list, tuple)):
- bnd_cond = [bnd_cond]
-
- for cond in bnd_cond:
- assert isinstance(cond, (ConstantDirichlet,
- VariableDirichlet,
- ConstantNeumann,
- VariableNeumann,
- fe.DirichletBC))
-
- for cond in bnd_cond:
- if isinstance(cond, (ConstantDirichlet, VariableDirichlet)):
- self.apply_dirichlet(cond)
- self._dirichlet_class.append(cond)
- elif isinstance(cond, (ConstantNeumann, VariableNeumann)):
- self.apply_neumann(cond)
- self._neumann_class.append(cond)
- elif isinstance(cond, fe.DirichletBC):
- self.dirichletCondition.append(cond)
-
- def set_measure(self, meshfunc):
- """Set a specific value of ds on specific subdomains of the boundaries.
-
- Parameters
- ----------
- meshfunc : :class:`dolfin.cpp.mesh.
- MeshFunctionInt<dolfin.cpp.mesh.MeshFunctionInt>`
- MeshFuncgtion defining the regions of the boundary.
-
- Returns
- -------
-
- """
- self._ds = fe.Measure('ds', domain=self.mesh, subdomain_data=meshfunc)
-
- def set_variational_problem(self):
- """Generate the variational problem by setting the rhs and lhs members.
-
- Returns
- -------
-
- """
- raise NotImplementedError
-
- def solve(self):
- """Solve the variationnal problem.
-
- Returns
- -------
-
- """
- self.set_variational_problem()
- name = self.__class__.__name__.replace('Problem', '')
- logger.info('-'*(10+len(name)+2))
- logger.info('Computing '+name+' :')
- logger.info('-'*(10+len(name)+2))
-
- self.solver.solve()
-
- def get_result(self):
- """Return the solution wrapped in a converter class.
-
- Returns
- -------
- :class:`FenicsFunctionConverter<femtk.utils.
- interface.FenicsFunctionConverter>`
- Class with methods to convert a
- :class:`Function<dolfin.cpp.function.Function>`.
-
- """
- return FenicsFunctionConverter(self.solution)
-
- def info(self):
- """Print information about the problem.
-
- Returns
- -------
-
- """
-
- if self.mesh is not None:
- mesh_dict = {'Vertices': self.mesh.num_entities(0),
- 'Edges': self.mesh.num_entities(1),
- 'Faces': self.mesh.num_entities(2)}
- else:
- mesh_dict = {}
-
- if self.functionSpace is not None:
- element = self.functionSpace.ufl_element()
-
- functionspace_dict = {'Family': element.family(),
- 'Degree': element.degree(),
- 'Cell': str(element.cell()),
- 'Dofs number': self.functionSpace.dim()}
- else:
- functionspace_dict = {}
-
- if self._dirichlet_class != []:
- diri = [[str(i._val), str(i._domain._string)]
- for i in self._dirichlet_class]
- columns_diri = list(zip(*diri))
- max_diri = max([len(i) for i in columns_diri[0]])
- else:
- diri = []
- max_diri = 5
-
- if self._neumann_class != []:
- neum = [[str(i._val), str(i._domain._string)]
- for i in self._neumann_class]
- columns_neum = list(zip(*neum))
- max_neum = max([len(i) for i in columns_neum[0]])
- else:
- neum = []
- max_neum = 5
-
- dist = max(max_diri, max_neum)
-
- solver_param = json.dumps(self.solver.parameters._param, indent=2).\
- replace('{', '').replace('}', '').replace('"', '')[1:-1]
-
- print('---------------- MESH ----------------\n')
- for key, item in mesh_dict.items():
- print(key, ':' + ' ' * (15 - len(key)) + str(item))
- print('')
- print('----------- FUNCTION SPACE -----------\n')
- for key, item in functionspace_dict.items():
- print(key, ':' + ' ' * (15 - len(key)) + str(item))
- print('')
- print('--------- BOUNDARY CONDITION ---------\n')
- print(' ' * 10 + '\tValue' + (dist - 3) * ' ' + 'Boundary')
- if diri != []:
- print('Dirichlet:\t' + str(diri[0][0])
- + (dist - len(diri[0][0]) + 2) * ' ' + str(diri[0][1]))
- for it in diri[1:]:
- print(' '*16+str(it[0])+(dist-len(it[0])+2)*' '+str(it[1]))
- if neum != []:
- print('Neumann: \t' + str(neum[0][0])
- + (dist - len(neum[0][0]) + 2) * ' ' + str(neum[0][1]))
- for it in neum[1:]:
- print(' '*16+str(it[0])+(dist-len(it[0])+2)*' '+str(it[1]))
- print('')
- print('--------- VARIATIONNAL FORM ----------\n')
- print('LHS:')
- print('\t'
- + str(self.lhs).replace('v_1', 'trial').replace('v_0', 'test'))
- print('RHS:')
- print('\t'
- + str(self.rhs).replace('v_1', 'trial').replace('v_0', 'test'))
- print('')
- print('---------------- SOLVER --------------\n')
- print('Type:'+' '*10+str(self.solver.__class__.__name__))
- print('Parameters:')
- print(solver_param)
- print('--------------------------------------')
diff --git a/legacy/femtk/problems/beam.py b/legacy/femtk/problems/beam.py
deleted file mode 100644
index 353f3f045ca6a7ed3fb4440d1c1ca34a3b38ee9b..0000000000000000000000000000000000000000
--- a/legacy/femtk/problems/beam.py
+++ /dev/null
@@ -1,241 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# femtk.mechanics.beam
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-
-import fenics as fe
-
-from femtk.solvers.linear import LinearSolver
-
-
-class TimoshenkoProblem():
- """Solve the problem of a TimoshenkoProblem beam in terms of
- deflection and rotation.
-
- Attributes
- ----------
- mesh : :class:`dolfin.cpp.mesh.Mesh<dolfin.cpp.mesh.Mesh>`
- Mesh on which the differential equation or system will be resolved.
- functionSpace : :class:`dolfin.cpp.function.
- FunctionSpace<dolfin.cpp.function.FunctionSpace>`
- Fenics function space of the computed solution.
- Exple: Piecewise linear functions, Piecewise harmonic functions...
- u : :class:`dolfin.cpp.function.Function<dolfin.cpp.function.Function>`
- vector function [displacement, bending]
- dirichlet : :class:`dolfin.cpp.fem.DirichletBC<dolfin.cpp.fem.DirichletBC>`
- Dirichlet conditions correspond to a set of imposed values
- for the solution on a boundary.
- Fenics object containing defining paramters of the fixed boundary
- conditions:
- * the function space
- * the value
- * the subdomain
- youngModulus : float
- Value of the Young's modulus to use.
- poissonRatio : float
- Value of the Poisson's ratio to use.
- uniformLoad : :class:`dolfin.cpp.function.
- Function<dolfin.cpp.function.Function>`
- Constant-valued function to describe a uniform load.
- pointLoad : fenics.PointSource
- Local load applied only to one node of the mesh.
- dim : int
- Geometricla dimension of the considered mesh.
- geometry : dict
- - keys : str. Name of the geometrical property of the structure:
- 'length', 'width' and 'height'.
- - values : float. The corresponding values.
- k_form : :class:`dolfin.cpp.function.
- Function<dolfin.cpp.function.Function>`
- Right hand-side of the variational expression to solve.
- l_form : :class:`dolfin.cpp.function.
- Function<dolfin.cpp.function.Function>`
- Left hand-side of the variational expression to solve.
- parameters : dict
- Solver parameters. Will soon be removed.
- solver : femtk.LinearSolver
- Solver to use.
-
- Methods
- -------
- set_mesh(mesh)
- Set the mesh to use as template.
- generate_mesh1D(length, nx)
- Generate a 1D version of the beam.
- generate_mesh2D(length, width, nx, ny, mesh_configuration='left')
- Generate a 2D version of the beam.
- generate_mesh3D(length, width, height, nx, ny, nz)
- Generate a 3D version of the beam.
- set_mechanical_parameters(youngModulus, poissonRatio)
- Set the values of the mechanical parameters
- (i.e. Young's modulus and Poisson's ratio).
- set_simple_support(side)
- Block the deflection on the side opposite to the applied force.
- set_anchor(side)
- Block the deflection and the rotation on the side
- opposite to the appleid force.
- set_sliding(side)
- Block the rotation on the side opposite to the applied force.
- set_uniform_load(load)
- Generate a uniform weight all along the beam.
- set_point_load(point, load)
- Define a point weight at one end of the beam.
- set_function_space()
- Set the function space used to define the solution.
- set_variational_problem()
- Set the variational problem to solve.
- solve()
- Solve the variational problem.
-
- """
-
- def __init__(self):
- self.mesh = None
- self.functionSpace = None
- self.solution = None
- self.deflection = None
- self.rotation = None
- self.dirichlet = []
-
- self.youngModulus = None
- self.poissonRatio = None
- self.uniformLoad = fe.Constant(0)
- self.pointLoad = None
- self.dim = None
- self.geometry = {'length': None, 'width': None, 'height': None}
-
- self.k_form = None
- self.l_form = None
-
- self.solver = LinearSolver()
-
- self.kappa = 5 / 6 # 5/6 for rectangular section
-
- def set_mesh(self, mesh):
- self.mesh = mesh
- self.dim = self.mesh.geometric_dimension()
- self.geometry['length'] = self.mesh.coordinates()[:, 0].max()
- self.geometry['width'] = self.mesh.coordinates()[:, 1].max()
- if self.dim == 3:
- self.geometry['height'] = self.mesh.coordinates()[:, 2].max()
-
- def generate_mesh1D(self, length, nx):
- self.mesh = fe.IntervalMesh(nx, 0, length)
- self.dim = 1
- self.geometry['length'] = length
-
- def generate_mesh2D(self, length, width, nx, ny,
- mesh_configuration='left'):
- self.mesh = fe.RectangleMesh(fe.Point(0, 0), fe.Point(length, width),
- nx, ny, mesh_configuration)
- self.dim = 2
- self.geometry['length'] = length
- self.geometry['width'] = width
-
- self.functionSpace = fe.VectorFunctionSpace(self.mesh, 'P', 2)
-
- def generate_mesh3D(self, length, width, height, nx, ny, nz):
- self.mesh = fe.BoxMesh(fe.Point(0, 0, 0),
- fe.Point(length, width, height),
- nx, ny, nz)
- self.dim = 3
- self.geometry['length'] = length
- self.geometry['width'] = width
- self.geometry['height'] = height
-
- def set_mechanical_parameters(self, youngModulus, poissonRatio):
- self.youngModulus = fe.Constant(youngModulus)
- self.poissonRatio = fe.Constant(poissonRatio)
-
- def set_simple_support(self, side):
- value = fe.Constant(0)
-
- def boundary(x, on_boundary):
- if side == 'left':
- return fe.near(x[0], 0) and on_boundary
- elif side == 'right':
- return fe.near(x[0], self.geometry['length']) and on_boundary
-
- self.dirichlet.append(fe.DirichletBC(self.functionSpace.sub(0), value,
- boundary))
-
- def set_anchor(self, side):
- value = fe.Constant([0, 0])
-
- def boundary(x, on_boundary):
- if side == 'left':
- return fe.near(x[0], 0) and on_boundary
- elif side == 'right':
- return fe.near(x[0], self.geometry['length']) and on_boundary
-
- self.dirichlet.append(fe.DirichletBC(self.functionSpace, value,
- boundary))
-
- def set_sliding(self, side):
- value = fe.Constant(0)
-
- def boundary(x, on_boundary):
- if side == 'left':
- return fe.near(x[0], 0) and on_boundary
- elif side == 'right':
- return fe.near(x[0], self.geometry['length']) and on_boundary
-
- self.dirichlet.append(fe.DirichletBC(self.functionSpace.sub(1), value,
- boundary))
-
- def set_uniform_load(self, load):
- self.uniformLoad = fe.Constant(load)
-
- def set_point_load(self, point, load):
- self.pointLoad = fe.PointSource(self.functionSpace.sub(0),
- fe.Point(point),
- load)
-
- def set_function_space(self):
- U = fe.FiniteElement("CG", self.mesh.ufl_cell(), 2)
- T = fe.FiniteElement("CG", self.mesh.ufl_cell(), 1)
- self.functionSpace = fe.FunctionSpace(self.mesh, U*T)
- self.solution = fe.Function(self.functionSpace)
-
- def set_variational_problem(self):
- u_ = fe.TestFunction(self.functionSpace)
- du = fe.TrialFunction(self.functionSpace)
- (w_, theta_) = fe.split(u_)
- (dw, dtheta) = fe.split(du)
-
- GS = self.youngModulus / (2 * (1 + self.poissonRatio))
- GS *= self.geometry['width'] * self.geometry['height']
-
- EI = self.youngModulus / 12
- EI *= self.geometry['width'] * self.geometry['height'] ** 3
-
- self.k_form = EI * fe.inner(fe.grad(theta_), fe.grad(dtheta)) * fe.dx
- self.k_form += self.kappa * GS * fe.dot(fe.grad(w_)[0] - theta_,
- fe.grad(dw)[0]-dtheta) * fe.dx
-
- self.l_form = self.uniformLoad * u_[0] * fe.dx
-
- self.solver.set_problem(self.solution,
- self.k_form,
- self.l_form,
- self.dirichlet,
- self.pointLoad)
-
- def solve(self):
- self.solver.solve()
- self.deflection, self.rotation = self.solution.split()
diff --git a/legacy/femtk/problems/diffusion_reaction.py b/legacy/femtk/problems/diffusion_reaction.py
deleted file mode 100644
index 7071666a397e00af8af07e06068802997af03e51..0000000000000000000000000000000000000000
--- a/legacy/femtk/problems/diffusion_reaction.py
+++ /dev/null
@@ -1,390 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# femtk.chemical.diffusion_reaction
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-
-import fenics as fe
-from types import FunctionType
-
-import numpy as np
-from collections import OrderedDict
-
-from femtk.solvers.linear import LinearSolver
-from femtk.solvers.nonlinear import NonLinearSolver
-from femtk.problems.abstract_problem import AbstractProblem
-from femtk.utils.interface import create_expression
-
-from femtk import MPI_COMM_WORLD, logger
-
-
-# TODO: Test adding a switch -> static/dynamic by enhancing variationnal
-# form with euler scheme for example.
-
-class PoissonProblem(AbstractProblem):
- """class implementing a simple diffusion model with a Poisson equation.
-
- """
-
- def __init__(self):
- super().__init__()
- self._diffusion_coefficient = fe.Constant(1, name='diffusion')
- self._source_term = fe.Constant(0, name='source')
-
- self.solver = LinearSolver()
-
- def set_diffusion_coefficient(self, val):
- """Short summary.
-
- Parameters
- ----------
- val : type
- Description of parameter `val`.
-
- Returns
- -------
- type
- Description of returned object.
-
- """
- self._diffusion_coefficient = val
- self._diffusion_coefficient.rename('diffusion', 'label')
-
- def set_function_space(self, name, degree, name_solution='concentration'):
- """Set the function space in which the solution will be defined.
-
- Parameters
- ----------
- name : str
- Type of function space (Lagrange, ...).
- degree : int
- Degree of the function space.
-
- Returns
- -------
-
- """
- super(PoissonProblem,
- self).set_function_space(name, degree, dim='scalar',
- name_solution=name_solution)
-
- self._name_solution = name_solution
-
- def set_initial_state(self, initial_state):
- self.solution.vector().set_local(initial_state)
-
- def set_point_source(self, ps):
- """Set the point loads on the mesh.
-
- Parameters
- ----------
- ps : PointSource
- PointSource to apply.
-
- Returns
- -------
-
- """
- self._point_source = ps
-
- def set_source_term(self, source, degree=None):
- """Sets the rhs term of the differential equation to solve.
-
- Parameters
- ----------
- source : float or str or FunctionType
- The numerical value (if type==float) or the formulation
- (in `C++ format`) of the function to consider.
- degree : type
- Optional (default: None). The degree to consider
-
- Returns
- -------
- None
-
- """
- if isinstance(source, (str, FunctionType)):
- self._source_term = create_expression(source,
- self.functionSpace,
- degree=degree)
- else:
- self._source_term = source
-
- self._source_term.rename('source', 'label')
-
- def set_variational_problem(self):
- self.rhs = self._source_term * self.testFunction * fe.dx + \
- self._diffusion_coefficient*self.neumannCondition
-
- self.lhs = self._diffusion_coefficient * \
- fe.dot(fe.grad(self.trialFunction),
- fe.grad(self.testFunction)) * fe.dx
-
- self.solver.set_problem(self.solution, self.lhs,
- self.rhs, self.dirichletCondition,
- self.pointSource)
-
-# -----------------------------------------------------------------------------
-
-
-class DiffusionProblem(PoissonProblem):
- def __init__(self):
- super().__init__()
-
- self._t_initial = 0
- self._t_final = None
- self._dt = None
- self._t_current = None
-
- self.previousSolution = None
- self.fileState = None
-
- def __del__(self):
- if self.fileState is not None:
- self.fileState.close()
-
- def set_simulation_time(self, t_initial, t_final, dt):
- self._t_initial = t_initial
- self._t_final = t_final
- self._dt = dt
-
- self._t_current = self._t_initial
-
- def set_initial_state(self, state, degree=None):
- if isinstance(state, str):
- self.previousSolution = create_expression(state,
- self.functionSpace,
- degree=degree)
- else:
- self.previousSolution = state
-
- self.solution.assign(self.previousSolution)
-
- def set_variational_problem(self):
- self.rhs = (self.previousSolution + self._dt * self._source_term) * \
- self.testFunction * fe.dx
- self.rhs += self.neumannCondition
-
- self.lhs = self.trialFunction*self.testFunction*fe.dx + \
- self._dt * self._diffusion_coefficient * \
- fe.dot(fe.grad(self.trialFunction),
- fe.grad(self.testFunction)) * fe.dx
-
- self.solver.set_problem(self.solution, self.lhs,
- self.rhs, self.dirichletCondition,
- self.pointSource)
-
- def set_file_state(self, path):
- self.fileState = fe.XDMFFile(MPI_COMM_WORLD, path)
-
- def save_state(self):
- self.fileState.write_checkpoint(self.solution,
- "concentration",
- self._t_current,
- append=True)
-
- def step(self):
- logger.info('Time: '+str(self._t_current))
- self._t_current += self._dt
- self.set_variational_problem()
- self.solver.solve()
- self.previousSolution.assign(self.solution)
- self.save_state()
-
- def run(self):
- self.save_state()
-
- while self._t_current < self._t_final:
- self.step()
-
-
-class DiffusionReactionProblem(PoissonProblem):
- """class implementing a reaction diffusion model.
-
- """
-
- def __init__(self):
- super().__init__()
-
- self._reaction_term = lambda x: fe.Constant(0)
- self.solver = NonLinearSolver()
- self.solver.parameters['linear_solver'] = 'mumps'
- self.solver.parameters['preconditioner'] = 'hypre_amg'
-
- def set_reaction_term(self, reaction_func):
- """Short summary.
-
- Parameters
- ----------
- reaction_func : type
- Description of parameter `reaction_func`.
-
- Returns
- -------
- type
- Description of returned object.
-
- """
- self._reaction_term = reaction_func
-
- def set_variational_problem(self):
- if self.neumannCondition is not None:
- self.rhs = self._diffusion_coefficient *\
- fe.dot(fe.grad(self.solution),
- fe.grad(self.testFunction)) * fe.dx +\
- self._diffusion_coefficient * self.neumannCondition -\
- self._source_term * self.testFunction * fe.dx -\
- self._reaction_term(self.solution) * self.testFunction *\
- fe.dx
- else:
- self.rhs = self._diffusion_coefficient *\
- fe.dot(fe.grad(self.solution),
- fe.grad(self.testFunction)) * fe.dx -\
- self._source_term * self.testFunction * fe.dx -\
- self._reaction_term(self.solution) * self.testFunction *\
- fe.dx
-
- du = fe.TrialFunction(self.functionSpace)
- J = fe.derivative(self.rhs, self.solution, du)
-
- self.solver.set_problem(self.solution, self.rhs, J,
- self.dirichletCondition, self.pointSource)
-
-# -----------------------------------------------------------------------------
-
-
-class CoupledDiffusionReactionProblem(DiffusionReactionProblem):
- """class implementing a reaction diffusion model.
-
- """
-
- def __init__(self):
- super().__init__()
-
- self._reaction_term = OrderedDict()
- self._diffusion_coefficient = OrderedDict()
- self._source_term = OrderedDict()
- self._initial_state = OrderedDict()
- self._species = OrderedDict()
- self.solution = OrderedDict()
- self._F = OrderedDict()
- self.testFunction = OrderedDict()
-
- self.solver = NonLinearSolver()
- self.solver.parameters['linear_solver'] = 'mumps'
- self.solver.parameters['preconditioner'] = 'hypre_amg'
-
- def add_species(self, species, functionspace='P', degree=1):
- self._species[species] = fe.FiniteElement(
- functionspace, cell='triangle', degree=degree)
-
- self.set_reaction_term(species, lambda x: fe.Constant(0))
- self.set_diffusion_coefficient(species, fe.Constant(1))
- self.set_source_term(species, fe.Constant(0))
-
- def get_species(self, species):
- order = tuple(self._species.keys()).index(species)
- return self.solution.sub(order)
-
- def set_reaction_term(self, species, reaction):
- self._reaction_term[species] = reaction
-
- def set_diffusion_coefficient(self, species, coef):
- self._diffusion_coefficient[species] = coef
-
- def set_source_term(self, species, source):
- self._source_term[species] = source
-
- def set_function_space(self, constrained_domain=None):
- all_fe = list(self._species.values())
- mix = fe.MixedElement(all_fe)
- if constrained_domain is None:
- self.functionSpace = fe.FunctionSpace(self.mesh, mix)
- else:
- self.functionSpace = fe.FunctionSpace(self.mesh,
- mix,
- constrained_domain=constrained_domain)
- self.solution = fe.Function(self.functionSpace, name='concentration')
- self.testFunction = fe.TestFunction(self.functionSpace)
-
- order = 0
- for species in self._species:
- self.set_initial_state(np.zeros(len(self.solution.
- sub(order).vector()[:])),
- species=species)
- order += 1
-
- def set_initial_state(self, initial_state, species=None):
- if species is not None:
- self.get_species(species).vector().set_local(initial_state)
- else:
- self.solution = initial_state
-
- def set_variational_problem(self):
- order = 0
- for species in self._species:
- # self.solution.sub(order).vector().set_local(self._initial_state[species])
-
- self._F[species] = self._diffusion_coefficient[species] *\
- fe.dot(fe.grad(self.solution[order]),
- fe.grad(self.testFunction[order])) * fe.dx -\
- self._source_term[species] * self.testFunction[order] *\
- fe.dx - self._reaction_term[species](self.solution) *\
- self.testFunction[order] * fe.dx
- order += 1
-
- self._F_sum = sum(list(self._F.values()))
- du = fe.TrialFunction(self.functionSpace)
- self._J = fe.derivative(self._F_sum, self.solution, du)
-
- self.solver.set_problem(self.solution, self._F_sum, self._J,
- self.dirichletCondition, self._point_source)
-
-
-if __name__ == '__main__':
- from femtk.utils.io import save
- from femtk.problems.utils import SquarePeriodicBoundary
-
- pb = CoupledDiffusionReactionProblem()
- pb.set_mesh(fe.UnitSquareMesh(100, 100))
-
- pb.add_species("A", degree=2)
- pb.add_species("B", degree=2)
- pb.set_source_term("A", fe.Constant(1))
- pb.set_source_term("B", fe.Constant(1))
- pb.set_function_space(constrained_domain=SquarePeriodicBoundary())
-
- u_D = fe.Expression('exp(-a*pow(x[0]-0.5, 2) - a*pow(x[1]-0.5, 2))',
- degree=2, a=5)
- u_D = fe.as_vector((u_D, u_D))
- # pb.set_initial_state("A", fe.project(u_D,
- # pb.functionSpace.sub(0).collapse()).vector()[:])
- # pb.set_initial_state("B", fe.project(u_D,
- # pb.functionSpace.sub(1).collapse()).vector()[:])
- pb.set_initial_state(fe.project(u_D, pb.functionSpace))
- # bc = fe.DirichletBC(pb.functionSpace, u_D, "on_boundary")
-
- # pb.add_dirichlet_condition(bc)
- # pb.add_dirichlet_condition(bc1)
-
- pb.set_reaction_term("B", lambda x: fe.Constant(100))
-
- pb.set_variational_problem()
-
- pb.solve()
-
- save('test.pvd', pb.solution)
diff --git a/legacy/femtk/problems/elastoplasticity.py b/legacy/femtk/problems/elastoplasticity.py
deleted file mode 100644
index c085018374cace90a37c940c64383f769f86ee1b..0000000000000000000000000000000000000000
--- a/legacy/femtk/problems/elastoplasticity.py
+++ /dev/null
@@ -1,391 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# femtk.mechanics.elastoplasticity
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-
-import fenics as fe
-
-from femtk.solvers.linear import LinearSolver
-from femtk.solvers.nonlinear import NonLinearSolver
-from femtk.problems.abstract_problem import AbstractProblem
-
-from ufl import nabla_grad, nabla_div
-
-# ------------------------------------------------------------------------------
-# Class HyperElasticityProblem
-# ------------------------------------------------------------------------------
-
-
-class ElasticityProblem(AbstractProblem):
- """Base class for hyperelastic and linearelastic problems.
-
- """
-
- def __init__(self):
- super().__init__()
-
- self.thickness = fe.Constant(1., name='thickness')
- self.mu = None
- self.lmbda = None
- self.body_force = None
- self.traction_force = None
- self.point_source = None
-
- def set_thickness(self, thickness):
- """Set the thickness of material.
-
- Parameters
- ----------
- thickness : float
- Thickness of material.
-
- Returns
- -------
-
- """
- self.thickness = thickness
-
- def set_body_force(self, body_force):
- """Set the body force field on the mesh.
-
- Parameters
- ----------
- traction_force : :class:`dolfin.cpp.function.
- Constant<dolfin.cpp.function.Constant>`
- Body force to apply.
-
- Returns
- -------
-
- """
- self.body_force = body_force
-
- def set_point_source(self, ps):
- """Set the point loads on the mesh.
-
- Parameters
- ----------
- ps : PointSource
- PointSource to apply.
-
- Returns
- -------
-
- """
- self.point_source = ps
-
-# ------------------------------------------------------------------------------
-
-
-class LinearElasticityProblem(ElasticityProblem):
- """Implement a linear version of the 2D elastic shell problem.
-
- """
-
- def __init__(self):
- super().__init__()
-
- self.solver = LinearSolver()
-
- def set_function_space(self, name, degree):
- """Set the function space in which the solution will be defined.
-
- Parameters
- ----------
- name : str
- Type of function space (Lagrange, ...).
- degree : int
- Degree of the function space.
-
- Returns
- -------
-
- """
- super(LinearElasticityProblem,
- self).set_function_space(name, degree, dim='vector',
- name_solution='displacement')
-
- def set_material_properties(self, mu, lmbda):
- """Set the mechanical parameter of the material.
-
- Parameters
- ----------
- mu : float or :class:`dolfin.cpp.function.
- Expression<dolfin.cpp.function.Expression>`
- First Lame's parameter, can be isotrope (float) or not
- (`Expression<dolfin.cpp.function.Expression>`).
- lmbda : float or :class:`dolfin.cpp.function.
- Expression<dolfin.cpp.function.Expression>`
- Shear parameter, can be isotrope (float)
- or not (`Expression<dolfin.cpp.function.Expression>`).
-
- Returns
- -------
- type
- Description of returned object.
-
- """
- self.mu = mu
- self.lmbda = lmbda
-
- def _strain(self, u=None):
- """Computes the linear strain defined as the symmetric part of the
- deformation gradient.
-
- Parameters
- ----------
- u : :class:`dolfin.cpp.function.Function<dolfin.cpp.function.Function>`
- Displacement field.
-
- Returns
- -------
- :class:`dolfin.cpp.function.Function<dolfin.cpp.function.Function>`
- The computed strain.
-
- """
- return 0.5 * (nabla_grad(u) + nabla_grad(u).T)
-
- def _stress(self, u=None):
- """Computes the stress as the energetic conjugate of the linear strain
- tensor field.
-
- Parameters
- ----------
- u : :class:`dolfin.cpp.function.Function<dolfin.cpp.function.Function>`
- Displacement field.
-
- Returns
- -------
- :class:`dolfin.cpp.function.Function<dolfin.cpp.function.Function>`
- The computed stress.
-
- """
- d = u.geometric_dimension()
- return self.lmbda * nabla_div(u) * fe.Identity(d) +\
- 2 * self.mu * self._strain(u)
-
- def set_variational_problem(self):
- """Short summary.
-
- Returns
- -------
- type
- Description of returned object.
-
- """
- self.lhs = fe.Constant(self.thickness) *\
- fe.inner(self._stress(self.trialFunction),
- self._strain(self.testFunction)) * fe.dx
- self.rhs = fe.dot(self.body_force, self.testFunction) * fe.dx +\
- self.neumannCondition
- self.solver.set_problem(self.solution, self.lhs, self.rhs,
- self.dirichletCondition, self.point_source)
-
-
-# ------------------------------------------------------------------------------
-
-
-class HyperElasticityProblem(ElasticityProblem):
- """Implement Energy minimization for hyperelastic material.
-
- """
-
- def __init__(self):
- super().__init__()
- self.elastic_potential = None
- self.model = None
-
- self.trialFunction = None
-
- self.solver = NonLinearSolver()
-
- def set_function_space(self, name, degree):
- """Short summary.
-
- Parameters
- ----------
- name : str
- type of finite element (Lagrange, ...).
- degree : int
- Degree of finite element.
-
- Returns
- -------
- type
- Description of returned object.
-
- """
- super().set_function_space(name, degree,
- dim='vector', name_solution='displacement')
-
- def set_elastic_energy(self, elastic_enery):
- """Set user defined elastic energy.
-
- Parameters
- ----------
- elastic_enery : :class:`ufl.algebra.Sum<ufl.algebra.Sum>`
- The elastic energy to set.
-
- Returns
- -------
-
- """
- self.elastic_potential = elastic_enery
-
- def set_material_model(self, model, mu, lmbda, mu_anisotrope=None,
- lmbda_anisotrope=None, direction_anisotropy=None,
- isotrope=True):
- """Define the elastic potential associate to a material model
-
- Parameters
- ----------
- model : str
- Available model: st_venant, neo_hookean,
- neo_hookean_incompressible.
- mu : float or :class:`dolfin.cpp.function.
- Expression<dolfin.cpp.function.Expression>`
- First Lame's parameter, can be isotrope (float)
- or not :class:`dolfin.cpp.function.
- Expression<dolfin.cpp.function.Expression>`.
- lmbda : float or :class:`dolfin.cpp.function.
- Expression<dolfin.cpp.function.Expression>`
- Shear parameter, can be isotrope (float)
- or not :class:`dolfin.cpp.function.
- Expression<dolfin.cpp.function.Expression>`.
- mu_anisotrope : float
- or :class:`dolfin.cpp.function.
- Expression<dolfin.cpp.function.Expression>`, optional
- Anisotrope part of First Lame's parameter.
- lmbda_anisotrope : float
- or :class:`dolfin.cpp.function.
- Expression<dolfin.cpp.function.Expression>`, optional
- Anisotrope part of shear parameter.
- direction_anisotropy : list
- or :class:`numpy.ndarray<numpy.ndarray>`, optional
- Direction of anisotropy.
- isotrope : bool, optional
- Material isotrope or not.
-
- Returns
- -------
-
- """
- # -- Kinematics
- self.model = model
- self.mu = mu
- self.lmbda = lmbda
- d = self.solution.geometric_dimension()
- Id = fe.Identity(d)
- F = Id + fe.nabla_grad(self.solution)
- C = F.T * F
-
- E = 0.5 * (nabla_grad(self.solution) + nabla_grad(self.solution).T
- + nabla_grad(self.solution).T * nabla_grad(self.solution))
-
- # -- Constitutive models
- if model == 'st_venant':
- W = fe.Constant(0.5) * lmbda * fe.tr(E) * fe.tr(E)
- W += mu * fe.tr(E * E)
-
- if not isotrope:
- d = direction_anisotropy
- a = fe.as_vector(d)
- A = fe.outer(a, a)
-
- W += 0.5 * lmbda_anisotrope * (fe.inner(A, E)) ** 2
- W += mu_anisotrope * fe.inner(A, (E * E))
-
- if model == 'neo_hookean':
- Ic = fe.tr(C)
- J = fe.det(F)
- W = (mu / 2) * (Ic - 3) - mu * \
- fe.ln(J) + (lmbda / 2) * (fe.ln(J))**2
-
- if model == 'neo_hookean_incompressible':
- # Nearly incompressible neo-hookean model
- K = lmbda + (2 / 3) * mu
- J = fe.det(F)
- I1 = fe.tr(C) * J**(-2 / 3)
- W = (mu / 2) * (I1 - 3) + (K / 4) * ((J - 1)**2 + (fe.ln(J))**2)
-
- self.elastic_potential = W
-
- def set_variational_problem(self):
- """Generate the variational form.
-
- Returns
- -------
-
- """
-
- self.lhs = self.thickness * self.elastic_potential * fe.dx
- self.lhs -= fe.dot(self.body_force, self.solution) * fe.dx
- self.lhs -= self.neumannCondition
-
- self.F = fe.derivative(self.lhs, self.solution, self.testFunction)
-
- # -- Compute Jacobian of F
- self.J = fe.derivative(self.F, self.solution, self.trialFunction)
-
- self.solver.set_problem(self.solution, self.F, self.J,
- self.dirichletCondition, self.point_source)
-
-
-# ------------------------------------------------------------------------------
-
-
-class PlasticityProblem(HyperElasticityProblem):
- """Implementing Energy minimization for plastic material using
- mutltiplicative decompostion of gradient deform.
- """
-
- def set_material_model(self, mu, lmbda, F_plastic):
- """Short summary.
-
- Parameters
- ----------
- mu : float or :class:`dolfin.cpp.function.
- Expression<dolfin.cpp.function.Expression>`
- First Lame's parameter.
- lmbda : float or :class:`dolfin.cpp.function.
- Expression<dolfin.cpp.function.Expression>`
- Shear parameter.
- F_plastic : :class:`dolfin.cpp.function.
- Expression<dolfin.cpp.function.Expression>`
- or :class:`dolfin.functions.constant.
- Constant<dolfin.functions.constant.Constant>`
- Plastic part of deformation gradient.
-
- Returns
- -------
-
- """
- self.mu = mu
- self.lmbda = lmbda
- d = self.solution.geometric_dimension()
- Id = fe.Identity(d)
- F_e = Id + fe.nabla_grad(self.solution)
- F_s = F_e * F_plastic
- C_s = F_s.T * F_s
- E_s = 0.5 * (C_s - Id)
-
- W = self.lmbda / 2 * (fe.tr(E_s)) ** 2 + self.mu * fe.tr(E_s * E_s)
- self.elastic_potential = W
-
-
-# ------------------------------------------------------------------------------
diff --git a/legacy/femtk/solvers/__init__.py b/legacy/femtk/solvers/__init__.py
deleted file mode 100644
index 36aafb15e10bf0f072231b325f8fb400b0ff572a..0000000000000000000000000000000000000000
--- a/legacy/femtk/solvers/__init__.py
+++ /dev/null
@@ -1,2 +0,0 @@
-from .linear import LinearSolver
-from .nonlinear import NonLinearSolver
diff --git a/legacy/femtk/solvers/linear.py b/legacy/femtk/solvers/linear.py
deleted file mode 100644
index 68b180df6693b25db5ff45eeff5bd91414c706d4..0000000000000000000000000000000000000000
--- a/legacy/femtk/solvers/linear.py
+++ /dev/null
@@ -1,102 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# femtk.solvers.linear
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-
-import fenics as fe
-import time
-
-from femtk.solvers.parameter import LinearSolverParameter
-from femtk import logger
-
-
-class LinearSolver():
- """Class implementing linear solver.
-
- """
-
- def __init__(self):
- self._u = None
- self._a = None
- self._L = None
- self._bc = None
- self._ps = None
-
- self.parameters = LinearSolverParameter()
-
- def set_problem(self, u, a, l, bc, ps=None):
- """Setting the problem.
-
- Parameters
- ----------
- u : :class:`dolfin.cpp.function.Function<dolfin.cpp.function.Function>`
- Solution of the problem.
- a : :class:`dolfin.cpp.fem.Form<dolfin.cpp.fem.Form>`
- Bilinear form.
- l : :class:`dolfin.cpp.fem.Form<dolfin.cpp.fem.Form>`
- Linear form.
- bc : list
- list with dirichlet boundary conditions
- :class:`dolfin.cpp.fem.DirichletBC<dolfin.cpp.fem.DirichletBC>`.
- ps : :class:`dolfin.cpp.fem.PointSource<dolfin.cpp.fem.PointSource>` ,
- optional Point source
- Returns
- -------
-
-
- """
- self._a = a
- self._L = l
- self._bc = bc
- self._u = u
- self._ps = ps
-
- prm = fe.parameter.parameters['krylov_solver']
- prm.update(self.parameters['krylov'])
-
- def solve(self):
- """Solve the problem.
-
- Returns
- -------
-
- """
- logger.info(' Backend : petsc')
- logger.info(' Linear Solver : '
- + str(self.parameters['linear_solver']))
- logger.info(' Preconditioner: '
- + str(self.parameters['preconditioner']))
- logger.info(' Size : '
- + str(self._u.function_space().dim()))
- logger.info(' Solving LinearProblem ...')
-
- A = fe.assemble(self._a)
- b = fe.assemble(self._L)
- if self._bc is not None:
- for c in self._bc:
- c.apply(A, b)
- if self._ps is not None:
- self._ps.apply(b)
- start = time.time()
- fe.solve(A,
- self._u.vector(),
- b,
- self.parameters['linear_solver'],
- self.parameters['preconditioner'])
- end = time.time()
- logger.info(' ... Done ['+str(end-start)+' s]')
diff --git a/legacy/femtk/solvers/nonlinear.py b/legacy/femtk/solvers/nonlinear.py
deleted file mode 100644
index 210822dfa3d71559545aea00f8d571925e45fd3b..0000000000000000000000000000000000000000
--- a/legacy/femtk/solvers/nonlinear.py
+++ /dev/null
@@ -1,158 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# femtk.solvers.nonlinear
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-
-import fenics as fe
-import time
-
-from femtk.solvers.parameter import NonlinearSolverParameter
-from femtk import MPI_COMM_WORLD, logger
-
-
-class GeneralNonlinearProblem(fe.NonlinearProblem):
- """Base class for General non-linear problem.
-
- Parameters
- ----------
- L : :class:`dolfin.cpp.fem.Form<dolfin.cpp.fem.Form>`
- Description of parameter `L`.
- a : :class:`dolfin.cpp.fem.Form<dolfin.cpp.fem.Form>`
- Description of parameter `a`.
- bc : list
- list with dirichlet boundary conditions
- :class:`dolfin.cpp.fem.DirichletBC<dolfin.cpp.fem.DirichletBC>`.
- ps : :class:`dolfin.cpp.fem.PointSource<dolfin.cpp.fem.PointSource>` ,
- optional Point source
- **kwargs : type
- Description of parameter `**kwargs`.
-
- """
-
- def __init__(self, L, a, bc, ps=None, **kwargs):
- self._L = L
- self._a = a
- self._bc = bc
- self._ps = ps
- super().__init__(**kwargs)
-
- def F(self, b, x):
- fe.assemble(self._L, tensor=b)
- if self._bc is not None:
- for c in self._bc:
- c.apply(b, x)
- if self._ps is not None:
- self._ps.apply(b)
-
- def J(self, A, x):
- fe.assemble(self._a, tensor=A)
- if self._bc is not None:
- for c in self._bc:
- c.apply(A)
-
-
-class NonLinearSolver():
- """Class implementing non-linear solver.
-
- """
-
- def __init__(self):
- self._u = None
- self._F = None
- self._Jac = None
- self._bnd = None
- self._problem = None
- self._solver = None
- self._snes = None
- self._ps = None
-
- self.parameters = NonlinearSolverParameter()
-
- self._type = 'petsc'
-
- def set_problem(self, u, F, Jac, bnd, ps=None):
- """Set the problem.
-
- Parameters
- ----------
- u : :class:`dolfin.cpp.function.Function<dolfin.cpp.function.Function>`
- Description of attribute `u`.
- F : :class:`dolfin.cpp.fem.Form<dolfin.cpp.fem.Form>`
- Description of attribute `F`.
- Jac : :class:`dolfin.cpp.fem.Form<dolfin.cpp.fem.Form>`
- Description of attribute `Jac`.
- bnd : list
- list with dirichlet boundary conditions
- :class:`dolfin.cpp.fem.DirichletBC<dolfin.cpp.fem.DirichletBC>`.
- """
- self._u = u
- self._bnd = bnd
- self._F = F
- self._Jac = Jac
- self._ps = ps
-
- if self._type == 'petsc':
- self._problem = GeneralNonlinearProblem(
- self._F, self._Jac, self._bnd, self._ps)
- self._solver = fe.PETScSNESSolver(MPI_COMM_WORLD)
-
- paramters_dict = {}
- paramters_dict.update(self.parameters['krylov'])
- paramters_dict['linear_solver'] = self.parameters['linear_solver']
- paramters_dict['preconditioner'] = self.parameters['preconditioner']
- monitor = paramters_dict.pop('monitor_convergence')
-
- self._solver.parameters.update(paramters_dict)
- self._solver.parameters['report'] = monitor
- self._snes = self._solver.snes()
- self._snes.setConvergenceHistory()
-
- def solve(self):
- """Solve the problem.
-
- Returns
- -------
-
- """
- if self._type == 'petsc':
- logger.info(' Backend : petsc')
- logger.info(' Linear Solver : '
- + str(self._solver.parameters['linear_solver']))
- logger.info(' Preconditioner: '
- + str(self._solver.parameters['preconditioner']))
- logger.info(' Size : '
- + str(self._u.function_space().dim()))
- logger.info(' Solving NonLinearProblem ...')
- start = time.time()
- self._solver.solve(self._problem, self._u.vector())
- end = time.time()
- logger.info(' ... Done ['+str(end-start)+' s]')
- residuals = self._snes.getConvergenceHistory()[0]
- conv = self._snes.getConvergedReason()
- if conv == 2:
- reason = 'Absolute tolerance'
- elif conv == 3:
- reason = 'Relative tolerance'
- elif conv == 5:
- reason = 'Maximum iterations'
- else:
- reason = 'no match'
- logger.info(' Conv reason : ' + str(reason))
- logger.info(' Iterations : ' + str(len(residuals)))
- logger.info(' Resiudal : ' + str(residuals[-1]))
- return residuals
diff --git a/legacy/femtk/solvers/parameter.py b/legacy/femtk/solvers/parameter.py
deleted file mode 100644
index 15b720ca5cf813a0451132d43a2f1ad9dae52f30..0000000000000000000000000000000000000000
--- a/legacy/femtk/solvers/parameter.py
+++ /dev/null
@@ -1,56 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# cellfem.solvers.parameter
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-
-
-class _SolverParameter():
- def __init__(self):
- self._param = {}
-
- def __getitem__(self, item):
- try:
- return self._param[item]
- except KeyError:
- raise AttributeError(item)
-
- def __setitem__(self, item, value):
- try:
- self._param[item] = value
- except KeyError:
- raise AttributeError(item)
-
-
-class LinearSolverParameter(_SolverParameter):
- def __init__(self):
- self._param = {'linear_solver': 'lu',
- 'preconditioner': 'none',
- 'krylov': {'absolute_tolerance': 1e-13,
- 'relative_tolerance': 1e-13,
- 'maximum_iterations': 1000,
- 'monitor_convergence': True}}
-
-
-class NonlinearSolverParameter(_SolverParameter):
- def __init__(self):
- self._param = {'linear_solver': 'cg',
- 'preconditioner': 'none',
- 'krylov': {'absolute_tolerance': 1e-13,
- 'relative_tolerance': 1e-13,
- 'maximum_iterations': 1000,
- 'monitor_convergence': True}}
diff --git a/legacy/femtk/utils/__init__.py b/legacy/femtk/utils/__init__.py
deleted file mode 100644
index 8b137891791fe96927ad78e64b0aad7bded08bdc..0000000000000000000000000000000000000000
--- a/legacy/femtk/utils/__init__.py
+++ /dev/null
@@ -1 +0,0 @@
-
diff --git a/legacy/femtk/utils/geometry.py b/legacy/femtk/utils/geometry.py
deleted file mode 100644
index 45a057f930b19b9af83f725eefec877eef64f11a..0000000000000000000000000000000000000000
--- a/legacy/femtk/utils/geometry.py
+++ /dev/null
@@ -1,343 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# femtk.utils.geometry
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-
-import fenics as fe
-import numpy as np
-from math import pi
-
-
-class Init_orientation_3D(fe.UserExpression):
- """Short summary.
-
- Attributes
- ----------
- mesh : :class:`dolfin.cpp.mesh.Mesh<dolfin.cpp.mesh.Mesh>`
- Mesh to work with.
- interior : list(float)
- A 3D vector (x, y, z) to orient properly the mesh.
-
- Methods
- -------
- eval(value, x)
- Compute the relative position with respect to the barycenter.
- value_shape()
- Return the geometrical dimesion of the structure (always 3).
- """
-
- def __init__(self, mesh, interior, **kwargs):
- if interior is None:
- self.barycenter = mesh.coordinates().mean(axis=0)
- else:
- self.barycenter = interior
- super().__init__(**kwargs)
-
- def eval(self, value, x):
- value[0] = x[0] - self.barycenter[0]
- value[1] = x[1] - self.barycenter[1]
- value[2] = x[2] - self.barycenter[2]
-
- def value_shape(self):
- return (3,)
-
-
-def normal_mesh(mesh, scale=1, interior=None, degree=1, name='normal'):
- """Compute a displacement field along the normals to a mesh.
-
- Parameters
- ----------
- V : ???
- I don't know what V is...
- scale : type
- Optional (Default : 1). The displacement intensity to consider.
- interior : list(float)
- Optional (Default : None). A 3D vector (x, y, z)
- to orient properly the mesh.
-
- Returns
- -------
- :class:`dolfin.cpp.function.Function<dolfin.cpp.function.Function>`
- The computed displacement field.
-
- """
- np.seterr(divide='ignore', invalid='ignore')
- V = fe.VectorFunctionSpace(mesh, 'P', degree, dim=3)
- # assert len(V.mesh().coordinates()[1, :] == 3)
- # mesh = V.mesh()
- mesh.init_cell_orientations(Init_orientation_3D(mesh, interior))
- orientations = np.transpose(mesh.cell_orientations())
- orientations = np.where(orientations == 1, -1, 1)
- V_scal = fe.FunctionSpace(mesh, 'CG', 1)
- vf = np.zeros([mesh.num_entities(0), 3])
-
- mesh.init(0,2)
-
- for v in fe.vertices(mesh):
- f_vertex = np.zeros(3)
- for c in fe.cells(v):
- orientation = orientations[c.index()]
- f_vertex += orientation * c.cell_normal().array()
- vf[v.index()] = scale*f_vertex/np.linalg.norm(f_vertex)
-
- u = fe.Function(V)
- ux = fe.Function(V.sub(0).collapse())
- uy = fe.Function(V.sub(1).collapse())
- uz = fe.Function(V.sub(2).collapse())
-
- d2v_scal = fe.dof_to_vertex_map(V_scal)
-
- ux.vector().set_local(vf[d2v_scal, 0])
- uy.vector().set_local(vf[d2v_scal, 1])
- uz.vector().set_local(vf[d2v_scal, 2])
-
- fe.assign(u.sub(0), ux)
- fe.assign(u.sub(1), uy)
- fe.assign(u.sub(2), uz)
-
- u.rename(name, 'label')
-
- return u
-
-
-class FacetNormal_2D(fe.UserExpression):
- """.
-
- Attributes
- ----------
- normal : list(list(float))
- The list of the normal vectors at each vertex of the mesh.
-
- Methods
- -------
- eval_cell(value, x, cell)
- evaluate the normal at the considered cell.
- N.B.: I don't know what the 'x' variable should do...
- value_shape()
- Return the geometrical dimesion of the structure (always 2).
-
- """
-
- def __init__(self, normal, **kwargs):
- self.normal = normal
- super().__init__(**kwargs)
-
- def eval_cell(self, value, x, cell):
- normal = self.normal[cell.index]
- value[0] = normal[0]
- value[1] = normal[1]
-
- def value_shape(self):
- return (2,)
-
-
-def boundary_normal_2D(mesh, interior=[0, 0, -1]):
- """Generate edge normal at the boundary and store it as Fenics Function on
- the cell (DG, 0).
-
- Parameters
- ----------
- mesh : :class:`dolfin.cpp.mesh.Mesh<dolfin.cpp.mesh.Mesh>`
- Mesh to work with.
- interior : list(float)
- Optional (default : [0, 0, -1]). Orient the surface.
-
- Returns
- -------
- :class:`dolfin.cpp.function.Function<dolfin.cpp.function.Function>`
- The normal field at the boundary ?
-
- """
- assert len(mesh.coordinates()[0, :]) == 2, 'Mesh is not 2D'
- mesh.init(1, 2)
- mesh.init(1, 0)
-
- # ------- init orient--------
-
- mesh.init_cell_orientations(Init_orientation_3D(mesh, interior))
- orientations = np.transpose(mesh.cell_orientations())
- orientations = np.where(orientations == 1, -1, 1)
-
- # ---------------------------
-
- normal = np.zeros([mesh.num_entities(2), 3])
-
- # ---------- Compute normal ------------
-
- for e in fe.edges(mesh):
- if len(e.entities(2)) == 1:
- print('is border !', e.index())
-
- vertex_1 = fe.Vertex(mesh, e.entities(0)[0])
- vertex_2 = fe.Vertex(mesh, e.entities(0)[1])
-
- edge_vector = vertex_1.point().array() - vertex_2.point().array()
- edge_midpoint = e.midpoint().array()
-
- print('edge:', edge_midpoint)
- print('-edge point:', edge_vector[0], edge_vector[1])
-
- # ------------- cell normal
- adj_cell = fe.Cell(mesh, e.entities(2)[0])
- adj_cell_index = adj_cell.index()
- adj_cell_midpoint = adj_cell.midpoint().array()
-
- orientation = orientations[adj_cell.index()]
- normal_cell = orientation * adj_cell.cell_normal().array()
-
- print('normal cell', normal_cell)
- # -----------------
-
- normal_edge = np.cross(normal_cell, edge_vector)
- normal_edge = normal_edge/np.linalg.norm(normal_edge)
- orient = np.sign(np.dot(normal_edge,
- edge_midpoint - adj_cell_midpoint))
- print('normal edge', orient*normal_edge, orient)
-
- normal[adj_cell_index] = orient*normal_edge
-
- # ---------------------------
-
- T = fe.VectorFunctionSpace(mesh, 'DG', 0)
-
- u = fe.Function(T)
- u.vector().set_local(normal[:, :2].flatten())
-
- return u
-
-
-def compute_sphericity(mesh):
- """Compute the sphericity of closed surface.
-
- Parameters
- ----------
- mesh : :class:`dolfin.cpp.mesh.Mesh<dolfin.cpp.mesh.Mesh>`
- Mesh to work with.
-
- Returns
- -------
- float
- The sphericity of input mesh.
-
- """
-
- surface = 0
- volume = 0
- center = fe.Point(mesh.coordinates().mean(axis=0))
- for cell in fe.cells(mesh):
- surface += cell.volume()
- dist_center = cell.distance(center)
- volume += (1/3)*cell.volume()*dist_center
- print(' surface :', surface)
- print(' volume :', volume)
- sphericity = (pi**(1/3)*(6*volume)**(2/3))/surface
- print(' sphericity :', sphericity)
-
- return sphericity
-
-
-def orthogonal_projector(vector):
- """Compute the orthogonal projector to vector.
-
- Parameters
- ----------
- vector : UFL Vector
-
- Returns
- -------
- UFL Tensor
-
- """
- return fe.Identity(vector.ufl_shape[0]) - fe.outer(vector, vector)
-
-
-def compute_surface(mesh):
- """Compute the surface of a mesh.
-
- Parameters
- ----------
- mesh : :class:`dolfin.cpp.mesh.Mesh<dolfin.cpp.mesh.Mesh>`
- Mesh to work with.
-
- Returns
- -------
- Float
- The surface.
-
- """
- return fe.assemble(1 * fe.dx(domain=mesh))
-
-# FIXME
-# def evaluate_subdomain(f, subdomain, subd_id):
-# """Evaluate function on subdomain with respect to MeshFunction on cell.
-#
-# Parameters
-# ----------
-# f : :class:`dolfin.cpp.function.Function<dolfin.cpp.function.Function>`
-# Description of parameter `f`.
-# subdomain : :class:`dolfin.cpp.mesh.Mesh<dolfin.cpp.mesh.Mesh>`Function
-# Description of parameter `subdomain`.
-# sud_id : int
-# Description of parameter `sud_id`.
-#
-# Returns
-# -------
-# numpy array
-# Description of returned object.
-#
-# """
-# V = f.function_space()
-#
-# dm = V.dofmap()
-#
-# subd_dofs = np.unique(np.hstack(
-# [dm.cell_dofs(c.index()) for c in fe.SubsetIterator(subdomain,
-# subd_id)]))
-#
-# # print(subd_dofs)
-#
-# if f.value_rank() == 1:
-# return reshaping_vector(f, V, subd_dofs)
-# elif f.value_rank() == 2:
-# # print('TENSOR')
-# return reshaping_tensor(f, V, subd_dofs=subd_dofs)
-
-
-def compute_curvature(mesh, normal=None):
- """Compute mesh curvature as: div(normal).
-
- Parameters
- ----------
- mesh : fenics.Mesh
- Mesh to work with.
-
- Returns
- -------
- :class:`dolfin.cpp.function.Function<dolfin.cpp.function.Function>`
- the extrinsic curvature field.
-
- """
- if normal is None:
- normal = normal_mesh(fe.VectorFunctionSpace(mesh, 'P', 1))
- V = fe.FunctionSpace(mesh, 'P', 1)
- curv = fe.project(fe.div(normal), V)
-
- return curv
-
-
-# fenics_tools.py ends here
diff --git a/legacy/femtk/utils/interface.py b/legacy/femtk/utils/interface.py
deleted file mode 100644
index d2de91aab2446f1de2d61f822d4e89c591327401..0000000000000000000000000000000000000000
--- a/legacy/femtk/utils/interface.py
+++ /dev/null
@@ -1,249 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# femtk.utils.interface
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-
-import fenics as fe
-import numpy as np
-import pandas as pd
-
-from sympy import Function, Symbol
-from sympy.parsing.sympy_parser import parse_expr
-
-from types import FunctionType
-
-
-def _expression_from_string(source, functionspace, degree):
- _XYZ = {'x': Symbol('x[0]'),
- 'y': Symbol('x[1]'),
- 'z': Symbol('x[2]'),
- 'border': Symbol('on_boundary'),
- 'near': Function('near')}
-
- if isinstance(source, (tuple, list)):
- expr = []
- for src in source:
- expr.append(str(parse_expr(src, local_dict=_XYZ, evaluate=False)))
- else:
- expr = str(parse_expr(source, local_dict=_XYZ, evaluate=False))
-
- if degree is not None:
- expr = fe.Expression(expr, degree=degree)
- else:
- expr = fe.Expression(expr, element=functionspace.ufl_element())
-
- if functionspace is not None:
- u = fe.Function(functionspace)
- u.interpolate(expr)
- return u
- else:
- return expr
-
-
-def _expression_from_function(source, functionspace, degree):
- x = [0, 0, 0]
- dim = np.array(source(x)).shape
-
- if dim == ():
-
- class UserExpr(fe.UserExpression):
- def eval(self, value, x):
- val = [source(x)]
- for i, v in enumerate(val):
- value[i] = v
-
- def value_shape(self):
- return dim
-
- else:
-
- class UserExpr(fe.UserExpression):
- def eval(self, value, x):
- val = source(x)
- for i, v in enumerate(val):
- value[i] = v
-
- def value_shape(self):
- return dim
-
- if degree is None:
- expr = UserExpr()
- else:
- expr = UserExpr(degree=degree)
-
- if functionspace is not None:
- u = fe.Function(functionspace)
- u.interpolate(expr)
- return u
- else:
- return expr
-
-
-def create_expression(source, functionspace=None, degree=None):
- if isinstance(source, (str, tuple, list)):
- return _expression_from_string(source, functionspace, degree)
- elif isinstance(source, FunctionType):
- return _expression_from_function(source, functionspace, degree)
- else:
- logger.error(str(source)+' is not a string or a function')
-
-
-class FenicsFunctionConverter(object):
- """Enables conversion of Fenics objects (???) into other formats.
-
- Parameters
- ----------
- function : type
- Description of parameter `function`.
-
- """
-
- def __init__(self, function):
- self._fenics = function
- self._dataframe = None
- self._dict = None
- self._array = None
- self._vertex_values = None
-
- self._functionSpace = self._fenics.function_space()
- self._mesh = self._functionSpace.mesh()
- self._shape = self._fenics.ufl_shape
- self._gdim = self._fenics.geometric_dimension()
-
- self._dof_per_nodes = np.prod(self._shape)
- if self._dof_per_nodes == 0:
- self._dof_per_nodes = int(1) # for scalar Function
- self._nb_dofs = len(self._functionSpace.dofmap().dofs())
- self._nb_nodes = int(self._nb_dofs/self._dof_per_nodes)
-
- # self.dof_coordinates = dict(zip(self._functionSpace.dofmap().dofs(),
- # self._functionSpace.
- # tabulate_dof_coordinates()))
- if isinstance(self._functionSpace.ufl_element(), fe.FiniteElement):
- self._type = 'scalar'
- self._shape_array = self._nb_nodes
- elif isinstance(self._functionSpace.ufl_element(), fe.VectorElement):
- self._type = 'vector'
- self._shape_array = (self._nb_nodes, self._gdim)
- elif isinstance(self._functionSpace.ufl_element(), fe.TensorElement):
- self._type = 'tensor'
- self._shape_array = (self._nb_nodes, self._gdim, self._gdim)
-
- def __call__(self, *x):
- return self._fenics(*x)
-
- def get_vertex_position(self):
- return self._mesh.coordinates()
-
- def get_dofs_position(self):
- """Generates a Fenics object containing the dofs positions.
-
- Returns
- -------
- ???
- Description of returned object.
-
- """
- return self._functionSpace.tabulate_dof_coordinates()
-
- def get_dofs_value(self):
- return self._fenics.vector().get_local()
-
- def to_fenics(self):
- """Returns a fenics.Function from the considered function.
-
- Returns
- -------
- Fenics.Function
- The fenics version of the function.
-
- """
- return self._fenics
-
- def to_dataframe(self):
- if self._vertex_values is None:
- self.to_vertex_values()
- self._dataframe = pd.DataFrame.from_dict(self._vertex_values,
- columns=['position', 'value'],
- orient='index')
- self._dataframe.index.name = 'vertex_index'
- return self._dataframe
-
- def to_vertex_values(self, list=False):
- """Computes the function values on the mesh vertices.
-
- Returns
- -------
- dict()
- - keys : int. The vertices labels.
- - values : dict()
- - keys : str. 'position', 'value'
- - values : NDarray. value of the function averaged over the
- dofs related to each vertex.
-
- """
- coords = self._mesh.coordinates()
- dofmap = self._functionSpace.dofmap()
- vertex_dofs = dofmap.entity_dofs(self._mesh, 0)
- vector = self._fenics.vector().get_local()
-
- if list:
- if len(self._shape) == 2: # reshaping for tensor function
- self._vertex_values = [vector[vertex_dofs[int(ind * self._dof_per_nodes): int(ind * self._dof_per_nodes + self._dof_per_nodes)]].reshape(self._shape)
- for ind, pos in enumerate(coords)]
- else:
- self._vertex_values = [vector[vertex_dofs[int(ind * self._dof_per_nodes): int(ind * self._dof_per_nodes + self._dof_per_nodes)]]
- for ind, pos in enumerate(coords)]
-
- self._vertex_values = np.array(self._vertex_values)
-
- else:
-
- if len(self._shape) == 2: # reshaping for tensor function
- self._vertex_values = {ind: {'position': pos,
- 'value': vector[vertex_dofs[int(ind * self._dof_per_nodes): int(ind * self._dof_per_nodes + self._dof_per_nodes)]].reshape(self._shape)}
- for ind, pos in enumerate(coords)}
- else:
- self._vertex_values = {ind: {'position': pos,
- 'value': vector[vertex_dofs[int(ind * self._dof_per_nodes): int(ind * self._dof_per_nodes + self._dof_per_nodes)]]}
- for ind, pos in enumerate(coords)}
-
- return self._vertex_values
-
-
-if __name__ == "__main__":
-
- class Test():
- def __init__(self):
- self.t = 0.5
-
- def test(x, u=Test()):
- if x[0] > u.t:
- return 1
- else:
- return 2
-
- mesh = fe.UnitSquareMesh(3, 3)
- VV = fe.VectorFunctionSpace(mesh, 'P', 1)
- V = fe.FunctionSpace(mesh, 'P', 1)
-
- expr = create_expression(test, V, degree=3)
- expr_str = create_expression(("x", "y"), VV, degree=0)
-
- conv = FenicsFunctionConverter(expr_str)
- conv.to_dataframe()
diff --git a/legacy/femtk/utils/io.py b/legacy/femtk/utils/io.py
deleted file mode 100644
index efd81391e035ec16500f5488b272f727988d2a43..0000000000000000000000000000000000000000
--- a/legacy/femtk/utils/io.py
+++ /dev/null
@@ -1,139 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# femtk.utils.io
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-
-# TODO: Replace write by write_checkpoint in XDMFFile
-
-import fenics as fe
-from femtk import MPI_COMM_WORLD
-import h5py
-
-
-def save(path, object):
- """Save a fenics mesh or function as pvd or xml.
-
- Parameters
- ----------
- path : str
- path where to save the object
- object : fenics object
- fenics Mesh of Function
-
- Returns
- -------
- None
-
- """
-
- comm = fe.MPI.comm_world
- file = fe.XDMFFile(comm, path)
- file.write(object)
- file.close()
-
-
-def load_mesh(path):
- """Load a fenics mesh from a xml file.
-
- Parameters
- ----------
- path : str
- path where to save the object
-
- Returns
- -------
- fenics.Mesh
-
- """
-
- if path.split('.')[-1] == 'xml':
- mesh = fe.Mesh(path)
- elif path.split('.')[-1] == 'xdmf':
- mesh = fe.Mesh()
- comm = fe.MPI.comm_world
- file = fe.XDMFFile(comm, path)
- file.read(mesh)
-
- return mesh
-
-
-def save_results(function, path):
- mesh = function.function_space().mesh()
- element = function.function_space().ufl_element()
- file = fe.HDF5File(MPI_COMM_WORLD, path, 'w')
- file.write(mesh, 'mesh')
- file.write(function, 'func')
- file.close()
-
- file = h5py.File(path, 'r+')
- dset = file['func']
- dset.attrs['family'] = element.family()
- dset.attrs['degree'] = element.degree()
-
- if isinstance(element, fe.FiniteElement):
- dim = 'scalar'
- elif isinstance(element, fe.VectorElement):
- dim = 'vector'
- elif isinstance(element, fe.TensorElement):
- dim = 'tensor'
-
- dset.attrs['dim'] = dim
- dset.update()
-
- file.close()
-
-
-def load_result(path):
- file = h5py.File(path, 'r')
- dset = file['func']
- dim = dset.attrs['dim']
- family = dset.attrs['family']
- degree = int(dset.attrs['degree'])
- file.close()
-
- file = fe.HDF5File(MPI_COMM_WORLD, path, 'r')
- mesh = fe.Mesh()
- file.read(mesh, 'mesh', False)
-
- if dim == 'scalar':
- func_space = fe.FunctionSpace(mesh, family, degree)
- elif dim == 'vector':
- func_space = fe.VectorFunctionSpace(mesh, family, degree)
- elif dim == 'tensor':
- func_space = fe.TensorFunctionSpace(mesh, family, degree)
-
- function = fe.Function(func_space)
-
- file.read(function, 'func')
- file.close()
-
- return function
-
-
-if __name__ == '__main__':
-
- from femtk.utils.interface import create_expression
-
- mesh = fe.UnitSquareMesh(2, 2)
- mesh.parameters.add('Type', 'P')
- mesh.parameters.add('Degree', 2)
- V = fe.FunctionSpace(mesh, 'P', 2)
-
- func = create_expression("x", V)
-
- save_results(func, 'test_sccalar.h5')
diff --git a/legacy/femtk/utils/mechanics.py b/legacy/femtk/utils/mechanics.py
deleted file mode 100644
index f6a3abce019edfe1958f344c9a4292d222f73412..0000000000000000000000000000000000000000
--- a/legacy/femtk/utils/mechanics.py
+++ /dev/null
@@ -1,247 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# femtk.mechanic.utils
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy_disp at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-
-import fenics as fe
-from femtk.utils.tensor import applyElementwise
-from femtk.utils.geometry import normal_mesh, orthogonal_projector
-from ufl import ln
-from femtk.utils.tensor import project_sym_tensor
-
-def pressure_forces(mesh, p, interior=None, degree=1, name='pressure'):
- """Compute pressure forces.
-
- Parameters
- ----------
- mesh : :class:`dolfin.cpp.mesh.Mesh<dolfin.cpp.mesh.Mesh>`
- FunctionSPace on which the pressure is computed.
- p : float
- Pressure value.
- interior : list
- Interior of the mesh.
- degree : int
- degree of interpolation
-
- Returns
- -------
- :class:`dolfin.cpp.function.Function<dolfin.cpp.function.Function>`
-
- """
- return normal_mesh(mesh, scale=p, interior=interior,
- degree=degree, name=name)
-
-
-def compute_strain(displacement, type='GL'):
- """Compute various version of the strain measure.
-
- Parameters
- ----------
- displacement : :class:`dolfin.cpp.function.
- Function<dolfin.cpp.function.Function>`
- Displacement field.
-
- type : str
- Optional (default : 'GL'). name of the strain measure
- we want to compute. Available measures: 'GL', 'biot', 'natural'
- and 'almansi'.
-
- Returns
- -------
- :class:`ufl.algebra.Sum<ufl.algebra.Sum>`
- The strain measure as we want it.
-
- """
- Id = fe.Identity(displacement.geometric_dimension())
- F = Id + fe.grad(displacement)
- C = F.T * F
-
- if type == 'GL':
- strain = 0.5 * (C - Id)
-
- elif type == 'biot':
- strain = applyElementwise(lambda x: x**0.5, C) - Id
-
- elif type == 'natural':
- strain = 0.5 * applyElementwise(lambda x: ln(x), C)
-
- elif type == 'almansi':
- strain = 0.5 * (Id - fe.inv(C))
-
- return strain
-
-
-def compute_PK2(displacement, mu, lmbda, projection=False):
- """Compute the PK2 stress.
-
- Parameters
- ----------
- displacement : :class:`dolfin.cpp.function.
- Function<dolfin.cpp.function.Function>`
- Description of parameter `displacement`.
- mu : float or :class:`dolfin.cpp.function.
- Expression<dolfin.cpp.function.Expression>`
- First Lame's parameter, can be isotrope (float)
- or not (`Expression<dolfin.cpp.function.Expression>`).
- lmbda : float or :class:`dolfin.cpp.function.
- Expression<dolfin.cpp.function.Expression>`
- Shear parameter, can be isotrope (float)
- or not (`Expression<dolfin.cpp.function.Expression>`).
- projection : bool
- Apply projection with orthogonal projector on mesh
-
- Returns
- -------
- :class:`ufl.algebra.Sum<ufl.algebra.Sum>`
- The PK2 stress.
-
- """
-
- if projection:
- n = normal_mesh(displacement.function_space().mesh())
- proj = orthogonal_projector(n)
- # return self.lmbda*div(u)*proj + 2*self.mu*self.strain(u)
- return 2.0 * mu * compute_strain(displacement) +\
- lmbda * fe.tr(compute_strain(displacement)) * proj
-
- else:
- d = displacement.geometric_dimension()
- return lmbda * fe.div(displacement) * fe.Identity(d) +\
- 2 * mu * compute_strain(displacement)
-
-
-def compute_cauchy(displacement, mu, lmbda, projection=False):
- """Cauchy stress in the deformed configuration, defined as the push-forward
- of PK2.
-
- Parameters
- ----------
- displacement : type
- Description of parameter `displacement`.
- mu : type
- Description of parameter `mu`.
- lmbda : type
- Description of parameter `lmbda`.
-
- Returns
- -------
- type
- Description of returned object.
-
- """
- pk2 = compute_PK2(displacement, mu, lmbda, projection)
- Id = fe.Identity(displacement.geometric_dimension())
- F = Id + fe.grad(displacement)
- J = fe.det(F)
-
- return (1/J)*F*pk2*fe.inv(F)
-
-
-def parameters_convertor(output_type, plane_stress=False, **kwargs):
- """Convert between various type of elastic modulii.
-
- Parameters
- ----------
- output_type : str
- Name of the elastic modulus to compute.
- Can be: 'lame', 'bulk', 'shear' or 'young'.
- plane_stress : bool
- Optional (default : False). If true, expressions specific to the 2D
- case are used.
-
- Other parameters
- ----------------
- input_set : dict
- keys : str. Names of the couple of elastic modulii to convert.
- Putative values : 'lame', 'poisson', 'young', 'bulk'
- values : float. Values of the elastic modulii to convert.
-
- Returns
- -------
- float
- The converted parameter.
-
- """
- assert(len(kwargs.keys()) == 2)
-
- inputs = list(kwargs.keys())
- inputs_set = set(inputs)
-
- if inputs_set == set(['lame', 'poisson']):
- lame = kwargs['lame']
- poisson = kwargs['poisson']
-
- if output_type == 'bulk':
- return lame*(1+poisson)/(3*poisson)
-
- if output_type == 'shear':
- return (lame*(1-2*poisson))/(2*poisson)
-
- if output_type == 'young':
- return (lame*(1+poisson)*(1-2*poisson))/poisson
-
- elif inputs_set == set(['young', 'poisson']):
- young = kwargs['young']
- poisson = kwargs['poisson']
-
- if output_type == 'bulk':
- return young/(3*(1-2*poisson))
-
- if output_type == 'shear':
- return young/(2*(1+poisson))
-
- if output_type == 'lame':
- if plane_stress:
- return young*poisson/(1-poisson**2)
- else:
- return young*poisson/((1+poisson)*(1-2*poisson))
- elif inputs_set == set(['young', 'bulk']):
- young = kwargs['young']
- bulk = kwargs['bulk']
-
- if output_type == 'lame':
- return (3*bulk*(3*bulk-young))/(9*bulk-young)
-
- if output_type == 'shear':
- return (3*bulk*young)/(9*bulk-young)
-
- if output_type == 'poisson':
- return (3*bulk-young)/(6*bulk)
-
-
-def move_mesh(mesh, displacement, scale=1):
- """Move a mesh using a vector field.
-
- Parameters
- ----------
- mesh : :class:`dolfin.cpp.mesh.Mesh<dolfin.cpp.mesh.Mesh>`
- Mesh to move.
- displacement : :class:`dolfin.cpp.function.
- Function<dolfin.cpp.function.Function>`
- Vector field.
- scale : float
- Scale (default is 1).
-
- Returns
- -------
-
- """
- copy_disp = displacement.copy(deepcopy=True)
- copy_disp.vector()[:] = copy_disp.vector() * scale
- fe.ALE.move(mesh, copy_disp)
- mesh.bounding_box_tree().build(mesh)
diff --git a/legacy/femtk/utils/periodic_bc.py b/legacy/femtk/utils/periodic_bc.py
deleted file mode 100644
index 51e49b110b08524b8afa5952470f5e30e46c49f4..0000000000000000000000000000000000000000
--- a/legacy/femtk/utils/periodic_bc.py
+++ /dev/null
@@ -1,52 +0,0 @@
-import fenics as fe
-
-
-class SquarePeriodicBoundaryLR(fe.SubDomain):
-
- # Left boundary is "target domain" G
- def inside(self, x, on_boundary):
- return on_boundary and fe.near(x[0], 0)
-
- # Map right boundary (H) to left boundary (G)
- def map(self, x, y):
- y[0] = x[0] - 1.0
- y[1] = x[1]
-
-
-# Sub domain for Periodic boundary condition
-class SquarePeriodicBoundaryBT(fe.SubDomain):
-
- # Bottom boundary is "target domain" G
- def inside(self, x, on_boundary):
- return on_boundary and fe.near(x[1], 0)
-
- # Map bottom boundary (H) to top boundary (G)
- def map(self, x, y):
- y[0] = x[0]
- y[1] = x[1] - 1.0
-
-
-# Sub domain for Periodic boundary condition
-class SquarePeriodicBoundary(fe.SubDomain):
-
- # Left boundary is "target domain" G
- def inside(self, x, on_boundary):
- # return True if on left or bottom boundary
- # AND NOT on one of the two corners (0, 1) and (1, 0)
- return (fe.near(x[0], 0)
- or fe.near(x[1], 0)) and (not ((fe.near(x[0], 0)
- and fe.near(x[1], 1))
- or (fe.near(x[0], 1)
- and fe.near(x[1],
- 0)))) and on_boundary
-
- def map(self, x, y):
- if fe.near(x[0], 1) and fe.near(x[1], 1):
- y[0] = x[0] - 1.
- y[1] = x[1] - 1.
- elif fe.near(x[0], 1):
- y[0] = x[0] - 1.
- y[1] = x[1]
- else: # near(x[1], 1)
- y[0] = x[0]
- y[1] = x[1] - 1.
diff --git a/legacy/femtk/utils/tensor.py b/legacy/femtk/utils/tensor.py
deleted file mode 100644
index 1fe0e024d1005000cc5d0cf6649ef1c44f58e841..0000000000000000000000000000000000000000
--- a/legacy/femtk/utils/tensor.py
+++ /dev/null
@@ -1,181 +0,0 @@
-# -*- python -*-
-# -*- coding: utf-8 -*-
-#
-# femtk.utils.tensor
-#
-# File author(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File contributor(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# File maintainer(s):
-# Florian Gacon <florian.gacon@inria.fr>
-#
-# Distributed under the Cecill-C License.
-# See accompanying file LICENSE.txt or copy at
-# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
-#
-# -----------------------------------------------------------------------
-
-import numpy as np
-import fenics as fe
-
-
-def tensor_ramp(x):
- """Define ramp function for tensor using spectral decomposition.
-
- Parameters
- ----------
- x : Ndarray(float)
- List of tensor.
-
- Returns
- -------
- Ndarray(float)
- List of tensor.
-
- """
-
- evals, evects = np.linalg.eigh(x)
-
- # -- Spectral decomposition
- return np.einsum("mn, min, mjn->mij", np.maximum(0, evals), evects, evects)
-
-
-def custom_pow(x, n):
- """Raise x to the power n, where n must be a nonnegative integer."""
-
- result = 1
- for _ in range(n):
- result *= x
-
- return result
-
-
-def get_eig(hes):
- """return UFL form of eigenvalues and eigenvectors of a tensor.
-
- Parameters
- ----------
- hes : UFL Tensor
- Input tensor.
-
- Returns
- -------
- UFL Tensor
- Return eigenvalues as a diagonal tensor and eigenvectors as tensor.
-
- """
- mesh = hes.function_space().mesh()
- nb_element = mesh.num_entities(0)
- dim = hes.geometric_dimension()
-
- [eigL, eigR] = np.linalg.eigh(hes.vector().get_local().reshape([nb_element,
- dim, dim]))
- eigval = fe.Function(hes.function_space())
- eigvec = fe.Function(hes.function_space())
-
- eigL = np.sort(eigL, axis=1)
-
- eigtens = np.zeros((nb_element, dim, dim))
- for i, tens in enumerate(eigtens):
- eigtens[i] = np.diag(eigL[i])
-
- eigval.vector().set_local(eigtens.flatten())
- eigvec.vector().set_local(eigR.flatten())
-
- return eigval, eigvec
-
-
-def tensor_magnitude(tensor):
- """Compute the intensity of a tensor."""
- return fe.sqrt(fe.inner(tensor, tensor))
-
-
-def applyElementwise(f, T):
- """Apply a function to each component of tensor T.
-
- Parameters
- ----------
- T : UFL Tensor
- f : function applied to tensor
-
- Returns
- -------
- UFL Tensor
-
- """
-
- shape = T.ufl_shape
- print('shape tensor:', shape)
-
- t_array = []
- for i in range(shape[0]):
- t_j = []
- for j in range(shape[1]):
- t_j.append(f(T[i, j]))
- t_array.append(t_j)
-
- return fe.as_tensor(t_array)
-
-
-# TODO: rename the function below "positive part" no ?
-def integer_part_tensor(T):
- """Compute the integer part of a UFL tensor.
-
- Parameters
- ----------
- T : UFL Tensor
- The tensor to consider.
-
- Returns
- -------
- UFL Tensor
- """
- from ufl.algebra import Abs
-
- return applyElementwise(lambda x: 0.5 * (Abs(x) + x), T)
-
-
-def project_sym_tensor(tensor, mesh, function_type='P', function_degree=1, name="tensor"):
- """Project the symmetric tensor as a vector (XX, YY, ZZ, XY, YZ, XZ) on the
- FunctionSpace of type function_type with the degree function_degree
-
- Parameters
- ----------
- tensor : UFL Tensor
- The tensor to project.
-
- function_type : str
- Type of FunctionSpace
-
- function_degree : int
- Degree of FunctionSpace
-
- Returns
- -------
- :class:`dolfin.cpp.function.Function<dolfin.cpp.function.Function>`
- The projection of the symmetric tensor
- """
-
- shape = tensor.ufl_shape
- FE = fe.FiniteElement(function_type, mesh.ufl_cell(), function_degree)
- ME = fe.FunctionSpace(mesh, FE*FE*FE*FE*FE*FE)
-
- sym = fe.Function(ME, name=name)
-
- if shape == (3, 3):
- vector = fe.as_vector([tensor[0, 0],
- tensor[1, 1],
- tensor[2, 2],
- tensor[0, 1],
- tensor[1, 2],
- tensor[0, 2]])
- elif shape == (2, 2):
- vector = fe.as_vector([tensor[0, 0],
- tensor[1, 1], 0,
- tensor[0, 1], 0, 0])
- fe.project(vector, ME, function=sym)
-
- return sym
diff --git a/legacy/femtk/version.py b/legacy/femtk/version.py
deleted file mode 100644
index 3c1c4bdcbea47d68e7d03fb7aeac5f7fdf1d9570..0000000000000000000000000000000000000000
--- a/legacy/femtk/version.py
+++ /dev/null
@@ -1,18 +0,0 @@
-"""
-Maintain version for this package.
-Do not edit this file, use 'version' section of config.
-"""
-# {# pkglts, version
-# -*- coding: utf-8 -*-
-
-MAJOR = 0
-"""(int) Version major component."""
-
-MINOR = 9
-"""(int) Version minor component."""
-
-POST = 3
-"""(int) Version post or bugfix component."""
-
-__version__ = f"{MAJOR:d}.{MINOR:d}.{POST:d}"
-# #}
diff --git a/legacy/femtk/visu/__init__.py b/legacy/femtk/visu/__init__.py
deleted file mode 100644
index e69de29bb2d1d6434b8b29ae775ad8c2e48c5391..0000000000000000000000000000000000000000
diff --git a/legacy/femtk/visu/mpl_tools.py b/legacy/femtk/visu/mpl_tools.py
deleted file mode 100644
index 8abc271ced88a72478ede709b8460a623e46a185..0000000000000000000000000000000000000000
--- a/legacy/femtk/visu/mpl_tools.py
+++ /dev/null
@@ -1,29 +0,0 @@
-import matplotlib.pyplot as plt
-
-import fenics as fe
-
-
-def plot_dirichlet_dofs(fig, dirichlet, functionspace, cmap='viridis', area=100, mesh=True):
- coord_dof = functionspace.tabulate_dof_coordinates()
-
- fenics_diric = dirichlet.apply(functionspace)
- mark_diric = fenics_diric.get_boundary_values()
- mark_dof = coord_dof[list(mark_diric.keys())]
- dof_value = list(mark_diric.values())
- if mesh:
- plot_mesh(functionspace.mesh())
- f = fig.gca().scatter(mark_dof[:,0], mark_dof[:,1], c=dof_value, cmap=cmap, s=area)
- plt.colorbar(f)
- fig.show()
-
-
-def plot_dofs(fig, functionspace, area=100, mesh=True):
- coord_dof = functionspace.tabulate_dof_coordinates()
- if mesh:
- plot_mesh(functionspace.mesh())
- fig.gca().plot(coord_dof[:,0], coord_dof[:,1], 'bo')
- fig.show()
-
-
-def plot_mesh(mesh):
- fe.plot(mesh)
diff --git a/legacy/femtk/visu/plotly_tools.py b/legacy/femtk/visu/plotly_tools.py
deleted file mode 100644
index 78c7f41c1b35b29e1f675b4c710659f780014e04..0000000000000000000000000000000000000000
--- a/legacy/femtk/visu/plotly_tools.py
+++ /dev/null
@@ -1,186 +0,0 @@
-import fenics as fe
-import numpy as np
-import matplotlib.pyplot as plt
-import plotly.io as pio
-import plotly.graph_objects as go
-
-from femtk.utils.interface import FenicsFunctionConverter
-
-def set_renderer(renderer):
- pio.renderers.default = renderer
-
-
-def _cone_plot(points, vectors, size=10):
- cones = go.Cone(x=points[:,0],
- y=points[:,1],
- z=points[:,2],
- u=vectors[:,0],
- v=vectors[:,1],
- w=vectors[:,2],
- sizemode="absolute",
- sizeref=size)
-
- return cones
-
-
-def _wireframe_plot_mesh(mesh):
- # Creating the plot
- coord = mesh.coordinates()
- triangle = mesh.cells()
- if len(coord[0,:])==2:
- coord = np.c_[coord, np.zeros(len(coord[:,0]))]
-
- tri_points = coord[triangle]
- Xe = []
- Ye = []
- Ze = []
- for T in tri_points:
- Xe.extend([T[k%3][0] for k in range(4)]+[ None])
- Ye.extend([T[k%3][1] for k in range(4)]+[ None])
- Ze.extend([T[k%3][2] for k in range(4)]+[ None])
-
- #define the trace for triangle sides
- lines = go.Scatter3d(
- x=Xe,
- y=Ye,
- z=Ze,
- mode='lines',
- name='',
- line=dict(color= 'rgb(70,70,70)', width=2))
-
- return lines
-
-
-def _surface_plot_function(function, colorscale):
- mesh = function.function_space().mesh()
- val = function.compute_vertex_values()
- coord = mesh.coordinates()
- triangle = mesh.cells().T
-
- if len(coord[0,:])==2:
- coord = np.c_[coord, np.zeros(len(coord[:,0]))]
-
- surface = go.Mesh3d(
- x=coord[:,0],
- y=coord[:,1],
- z=coord[:,2],
- i=triangle[0, :],
- j=triangle[1, :],
- k=triangle[2, :],
- flatshading=True,
- intensity= val,
- colorscale=colorscale,
- lighting=dict(ambient=1)
- )
-
- return surface
-
-def _surface_plot_mesh(mesh, color, opacity=0.9):
- coord = mesh.coordinates()
- triangle = mesh.cells().T
-
- if len(coord[0,:])==2:
- coord = np.c_[coord, np.zeros(len(coord[:,0]))]
-
- surface = go.Mesh3d(
- x=coord[:,0],
- y=coord[:,1],
- z=coord[:,2],
- i=triangle[0, :],
- j=triangle[1, :],
- k=triangle[2, :],
- flatshading=True,
- color=color,
- opacity=opacity,
- lighting=dict(ambient=1)
- )
-
- return surface
-
-def _plot_dofs(functionspace, size):
- dofs_coord = functionspace.tabulate_dof_coordinates()
- if len(dofs_coord[0,:])==2:
- dofs_coord = np.c_[dofs_coord, np.zeros(len(dofs_coord[:,0]))]
-
- points = go.Scatter3d(
- x=dofs_coord[:,0],
- y=dofs_coord[:,1],
- z=dofs_coord[:,2],
- mode='markers',
- marker=dict(size=size)
- )
-
- return points
-
-def plot(obj, colorscale="inferno", wireframe=True, size=10, norm=False,
- color='gray', opacity=0.9, show_grid=False, size_frame=None,
- background=(242, 242, 242)):
-
- data = []
- if isinstance(obj, fe.Mesh):
- surf = _surface_plot_mesh(obj, color=color, opacity=opacity)
- data.append(surf)
-
- if wireframe:
- data.append(_wireframe_plot_mesh(obj))
-
-
- elif isinstance(obj, fe.Function):
- if obj.ufl_shape == ():
- surface = _surface_plot_function(obj, colorscale=colorscale)
- data.append(surface)
- elif obj.ufl_shape == (3,):
- if norm:
- V = obj.function_space().split()[0].collapse()
- norm = fe.project(fe.sqrt(fe.inner(obj,obj)), V)
- surface = _surface_plot_function(norm, colorscale=colorscale)
- data.append(surface)
-
- func = FenicsFunctionConverter(obj)
- point_val = np.array([[i['position'], i['value']] for i in func.to_vertex_values().values()])
- cones = _cone_plot(point_val[:,0], point_val[:,1], size=size)
- data.append(cones)
-
- if wireframe:
- lines = _wireframe_plot_mesh(obj.function_space().mesh())
- data.append(lines)
-
- elif isinstance(obj, fe.FunctionSpace):
- points = _plot_dofs(obj, size=size)
- data.append(points)
-
- if wireframe:
- lines = _wireframe_plot_mesh(obj.mesh())
- data.append(lines)
-
- layout = go.Layout(scene_xaxis_visible=show_grid,
- scene_yaxis_visible=show_grid,
- scene_zaxis_visible=show_grid,
- paper_bgcolor='rgb'+str(background),
- margin=dict(l=80, r=80, t=50, b=50))
-
- if size_frame is not None:
- layout.update(width=size_frame[0], height=size_frame[1])
-
- fig = go.FigureWidget(data=data, layout=layout)
- fig.show()
-
-if __name__ == "__main__":
- import femtk
- set_renderer("browser")
- mesh = fe.UnitCubeMesh(10, 10, 10)
- mesh_1 = fe.UnitSquareMesh(10,10)
- bnd_mesh = fe.BoundaryMesh(mesh, "exterior")
-
- mesh_3D = fe.Mesh(femtk.__path__[0]+'/../../share/example/semisphere_1.0_0.05.xml')
-
- V = fe.FunctionSpace(mesh_1 ,'P', 2)
-
- expr = fe.Expression("x[0]+x[1]", degree=3)
- u = fe.project(expr, V)
-
- # plot(V, size=3)
- # surface_edges_plot_mesh(mesh_1)
- # surface_plot_function(u)
- # surface_plot_mesh(mesh_1)
- plot(mesh_3D)
diff --git a/paper/fig1.png b/paper/fig1.png
index b64fbd8ce8d269e4b325084a8d21a240df8ae9cb..ca53ecd815e5cd4c04ac370deedd6c8aacc47084 100644
Binary files a/paper/fig1.png and b/paper/fig1.png differ
diff --git a/paper/fig2.png b/paper/fig2.png
new file mode 100644
index 0000000000000000000000000000000000000000..a651daec4984053cb1672cb10736db9b6eb50c89
Binary files /dev/null and b/paper/fig2.png differ
diff --git a/paper/paper.bib b/paper/paper.bib
index 4c7026454a40dded00cd75cc9df9978a462a352f..21b94572881d4933129c2aa51b12b81d00fd8ed4 100644
--- a/paper/paper.bib
+++ b/paper/paper.bib
@@ -21,6 +21,7 @@ local-url = {file://localhost/Users/oali/Documents/Work/Biblio/Library/Papers%20
year = {2009}
}
+
@book{Langtangen:2017,
author = {Langtangen, Hans Petter and Logg, Anders},
title = {Solving PDEs in Python: The FEniCS Tutorial I},
@@ -31,7 +32,7 @@ edition = {1st},
abstract = {This book offers a concise and gentle introduction to finite element programming in Python based on the popular FEniCS software library. Using a series of examples, including the Poisson equation, the equations of linear elasticity, the incompressible NavierStokes equations, and systems of nonlinear advectiondiffusionreaction equations, it guides readers through the essential steps to quickly solving a PDE in FEniCS, such as how to define a finite variational problem, how to set boundary conditions, how to solve linear and nonlinear systems, and how to visualize solutions and structure finite element Python programs. This book is open access under a CC BY license.}
}
-@article{Boudaoud:2010,
+@article{Boudaoud:2010,
author = {Boudaoud, Arezki},
title = {{An introduction to the mechanics of morphogenesis for plant biologists.}},
doi = {10.1016/j.tplants.2010.04.002},
@@ -44,3 +45,82 @@ language = {English},
local-url = {file://localhost/Users/oali/Documents/Work/Biblio/Library/Papers%20Library/Boudaoud/Boudaoud_2010.pdf},
year = {2010}
}
+
+@article{Jeong:2017,
+title = {{Numerical simulation of the zebra pattern formation on a three-dimensional model}},
+author = {Jeong, Darae and Li, Yibao and Choi, Yongho and Yoo, Minhyun and Kang, Dooyoung and Park, Junyoung and Choi, Jaewon and Kim, Junseok},
+journal = {Physica A: Statistical Mechanics and its Applications},
+issn = {0378-4371},
+doi = {10.1016/j.physa.2017.02.014},
+abstract = {{In this paper, we numerically investigate the zebra skin pattern formation on the surface of a zebra model in three-dimensional space. To model the pattern formation, we use the Lengyel–Epstein model which is a two component activator and inhibitor system. The concentration profiles of the Lengyel–Epstein model are obtained by solving the corresponding reaction–diffusion equation numerically using a finite difference method. We represent the zebra surface implicitly as the zero level set of a signed distance function and then solve the resulting system on a discrete narrow band domain containing the zebra skin. The values at boundary are dealt with an interpolation using the closet point method. We present the numerical method in detail and investigate the effect of the model parameters on the pattern formation on the surface of the zebra model.}},
+pages = {106--116},
+volume = {475},
+local-url = {file://localhost/Users/oali/Documents/Work/Biblio/Library/Papers%20Library/Kim/Jeong_2017.pdf},
+year = {2017}
+}
+
+@article{Lengyel:1991,
+title = {{Modeling of Turing Structures in the Chlorite—Iodide—Malonic Acid—Starch Reaction System}},
+author = {LENGYEL, ISTVÃN and EPSTEIN, IRVING R.},
+journal = {Science},
+issn = {0036-8075},
+doi = {10.1126/science.251.4994.650},
+pmid = {17741380},
+abstract = {{Recent experiments on the chlorite-iodide-malonic acid-starch reaction in a gel reactor give the first evidence of the existence of the symmetry breaking, reaction-diffusion structures predicted by Turing in 1952. A five-variable model that describes the temporal behavior of the system is reduced to a two-variable model, and its spatial behavior is analyzed. Structures have been found with wavelengths that are in good agreement with those observed experimentally. The gel plays a key role by binding key iodine species, thereby creating the necessary difference in the effective diffusion coefficients of the activator and inhibitor species, iodide and chlorite ions, respectively.}},
+pages = {650--652},
+number = {4994},
+volume = {251},
+local-url = {file://localhost/Users/oali/Documents/Work/Biblio/Library/Papers%20Library/EPSTEIN/LENGYEL_1991.pdf},
+year = {1991}
+}
+
+@article{Zhao:2020,
+title = {{Microtubule-Mediated Wall Anisotropy Contributes to Leaf Blade Flattening}},
+author = {Zhao, Feng and Du, Fei and Oliveri, Hadrien and Zhou, Lüwen and Ali, Olivier and Chen, Wenqian and Feng, Shiliang and Wang, Qingqing and Lü, Shouqin and Long, Mian and Schneider, René and Sampathkumar, Arun and Godin, Christophe and Traas, Jan and Jiao, Yuling},
+journal = {Current Biology},
+issn = {0960-9822},
+doi = {10.1016/j.cub.2020.07.076},
+abstract = {{Plant organs can adopt a wide range of shapes, resulting from highly directional cell growth and divisions. We focus here on leaves and leaf-like organs in Arabidopsis and tomato, characterized by the formation of thin, flat laminae. Combining experimental approaches with 3D mechanical modeling, we provide evidence that leaf shape depends on cortical microtubule mediated cellulose deposition along the main predicted stress orientations, in particular, along the adaxial-abaxial axis in internal cell walls. This behavior can be explained by a mechanical feedback and has the potential to sustain and even amplify a preexisting degree of flatness, which in turn depends on genes involved in the control of organ polarity and leaf margin formation.}},
+local-url = {file://localhost/Users/oali/Documents/Work/Biblio/Library/Papers%20Library/Jiao/Zhao_2020.pdf},
+year = {2020}
+}
+
+@software{Schlomer:2020,
+ author = {Nico Schlömer and
+ G. D. McBain and
+ Keurfon Luu and
+ christos and
+ Tianyi Li and
+ Eirik Keilegavlen and
+ Vicente Mataix Ferrándiz and
+ Chris Barnes and
+ VladimÃr LukeÅ¡ and
+ Lisandro Dalcin and
+ eolianoe and
+ Nils Wagner and
+ Miche Jansen and
+ Abhinav Gupta and
+ Sebastian Müller and
+ Brénainn Woodsend and
+ Krande and
+ Leo Schwarz and
+ Jan Blechta and
+ Chris Coutinho and
+ Darcy Beurle and
+ ffilotto and
+ Jørgen Schartum Dokken and
+ so1291 and
+ Antonio Cervone and
+ Bhavesh Shrimali and
+ Bill and
+ Dave Jones and
+ Iban Cereijo and
+ Jonas Harsch},
+ title = {nschloe/meshio v4.3.1},
+ month = oct,
+ year = 2020,
+ publisher = {Zenodo},
+ version = {v4.3.1},
+ doi = {10.5281/zenodo.4090832},
+ url = {https://doi.org/10.5281/zenodo.4090832}
+}
diff --git a/paper/paper.md b/paper/paper.md
index 3d991b572073000dd64056fa7f97876e4a6f3b6f..1356080f1849aac54536e1c19ce4b4b8bdf12a15 100644
--- a/paper/paper.md
+++ b/paper/paper.md
@@ -17,187 +17,116 @@ authors:
- name: Olivier Ali^[Corresponding Author]
orcid: 0000-0001-7671-7225
affiliation: 1
-Affiliations:
+affiliations:
-name: Laboratoire de Reproduction et Développement des plantes, Univ Lyon, ENS de Lyon, UCB Lyon 1, CNRS, INRA, Inria, 69342 Lyon, France
-index: 1
-date: 23 September 2020
-Bibliography: paper.bib
+date: 22 October 2020
+bibliography: paper.bib
---
# Summary
-Bvpy is a python library, based on FEniCS [@Logg:2012] and Gmsh [@Geuzaine:2009], to easily implement and study numerically Boundary Value Problems as well as Initial Boundary Value Problems (*BVPs* and *IBVPs* for short) through the Finite Element Method (*FEM*). *IBVPs* can be implemented by coupling the resolution of time-dependent BVPs with time-integration schemes. Initially built up in the context of developmental biology and morphomechanics[^1], Bvpy proposes an intuitive Application Programming Interface (*API*) as close as possible to the formal definition of *BVPs* given in eq.$(\ref{eq:bvp})$. Its purpose is to enable users to quickly and efficiently estimate the behavior of a wide variety of fields (scalars, vectors, tensors) on biologically relevant structures (Riemannian and non-Rieamannian manifolds), inspired by biophysical and biochemical processes (morphogene patterning, active matter mechanics, diffusion-reaction processes, active transports...). Despite this biological motivation, the Bvpy library has been implemented in an *agnostic* manner that makes it suitable for many other scientific context.
+Bvpy is a python library, based on FEniCS [@Logg:2012], Gmsh [@Geuzaine:2009] and Meshio [@Schlomer:2020], to easily implement and study numerically Boundary Value Problems (*BVPs*) and Initial Boundary Value Problems (*IBVPs*) through the Finite Element Method (*FEM*). Initially built up in the context of developmental biology and morphomechanics, Bvpy proposes an intuitive Application Programming Interface (*API*) as close as possible to the formal definition of *BVPs* given in \autoref{eq:bvp}. Its purpose is to enable users to quickly and efficiently estimate the behavior of a wide variety of fields (scalars, vectors, tensors) on biologically relevant structures, inspired by biophysical and biochemical processes (morphogene patterning, active matter mechanics, active transports...). Despite this biological motivation, the Bvpy library has been implemented in an *agnostic* manner that makes it suitable for many other scientific context.
# Statement of need
-As the means to investigate living systems are becoming more quantitative, the spectrum of skills and expertise required to conduct research in biology is widening. Projects are relying more and more on interdisciplinary collaborations and biologists are now commonly working with tools borrowed from physics and computer science.
+*FEMs* are becoming an ubiquitous tool in many research areas and the need for a platform accessible to a large audience is growing. Such platforms should: *(i)* enable people with various level of expertise to contribute; and *(ii)* serve as a communication and education mean between experienced users and novices. Bvpy aims at fulfilling these needs through a twofold strategy:
-To support this interdisciplinary evolution, the community needs technical platforms that are accessible and usefull to a wide audience. Such platforms should: *(i)* enable people with various level of expertise to contribute; and *(ii)* serve as a communication, training and education mean between experienced users and novices. Bvpy aims at this in the context of *BVPs* and *FEMs*.
+* Provide a high-level *API* to soften the learning curve of *FEMs*. So users with little-to-none knowledge can parametrize, run and monitor simulations based on built-in templates.
+* Enable users experienced in *FEM*-based modeling to develop and fully customize *de novo* templates that could, in turn, be used by non-specialists.
-*FEMs* stands as one of the most efficient approaches to numerically estimate *BVPs*; but remains a very technical topic. FEniCS provides an intuitive framework to work with *FEMs*, ideally suited for people with little experience in numerical methods but educated in mathematics. Bvpy extends this approach toward an even wider audience. The goal is twofold:
+# Library general description
-* To provide users with little-to-none knowledge in mathematics and/or computer science with an intuitive and minimalist interface to implement, parametrize, run and monitor simulations based on built-in templates.
-* To enable users with prior experienced in *FEM*-based modeling to develop and fully customize *de novo* templates that could, in turn, be used by non-specialists.
-
-# Bvpy *modus operandi*
-
-## BVPs and IBVPs encompassed by the Bvpy framework
-
-By definition, a *BVP* corresponds to a (set) differential equation(s) together with a set of constrains defined on the boundaries of the integration domain, see eq.($\ref{eq:bvp}$).
-
-$$
-\newcommand{\euclid}[1]{\mathbb{R}^{#1}}
-\newcommand{\pos}{\boldsymbol{x}}
-\newcommand{\field}{u}
-\newcommand{\source}{g}
-\newcommand{\body}{\Omega}
-\newcommand{\surf}{\partial\body}
-\newcommand{\grad}[1]{\boldsymbol{\nabla}(#1)}
+By definition, a *BVP* corresponds to a (set) differential equation(s) together with a set of constrains defined on the boundaries of the integration domain, see \autoref{eq:bvp}.
+\begin{equation}\label{eq:bvp}
\begin{cases}
-F(\field, \grad{\field} \dots) = 0 & \text{in} \quad \body \\
-\field(\pos) = u_N(\pos) & \text{on} \quad \surf_N \\
-\grad{\field(\pos)} = \boldsymbol{j}(\pos) & \text{on} \quad \surf_D
+F(u, \boldsymbol{\nabla}(u) \dots) = 0 & \text{in} \quad \Omega \\
+u(\boldsymbol{x}) = u_N(\boldsymbol{x}) & \text{on} \quad \partial\Omega_N \\
+\boldsymbol{\nabla}(u(\boldsymbol{x})) = \boldsymbol{j}(\boldsymbol{x}) & \text{on} \quad \partial\Omega_D
\end{cases}
+\end{equation}
-\label{eq:bvp}
-$$
-
-In the case of dynamic systems, the integration domain can be split into a one-dimension line and a spatial hyperplane: $\body = \tline\times\body_{t_0}$. Where we assume that the spatial hyperplane $\body_{t_0}$ is not evolving with time[^4]. This variable separation yields the formalization of the kind of Initial Boundary Value Problem that can be addressed within our framework, see eq.($\ref{eq:ibvp}$).
-$$
-\newcommand{\tline}{[t_0, t_{\infty}]}
+The above formalization can be extended as follow in the case of first-order *IBVPs* (*i.e.* where time derivatives are limited to first order):
+\begin{equation}\label{eq:ibvp}
\begin{cases}
-\partial_t u = F(\field, \grad{\field} \dots) & \text{in} \quad \body \\
-\field(t_0, \pos) = u_0(\pos) & \text{on} \quad \body_{t_0}\\
-\field(t,\pos) = u_N(t,\pos) & \text{on} \quad \surf_N\\
-\grad{\field(t,\pos)} = \boldsymbol{j}(t,\pos) & \text{on} \quad \surf_D
+\partial_t u = F(u, \boldsymbol{\nabla}(u) \dots) & \text{in} \quad \Omega \\
+u(t_0, \boldsymbol{x}) = u_0(\boldsymbol{x}) & \text{on} \quad \Omega_{t_0}\\
+u(t,\boldsymbol{x}) = u_N(t,\boldsymbol{x}) & \text{on} \quad \partial\Omega_N\\
+\boldsymbol{\nabla}(u(t,\boldsymbol{x})) = \boldsymbol{j}(t,\boldsymbol{x}) & \text{on} \quad \partial\Omega_D,
\end{cases}
+\end{equation}
-\label{eq:ibvp}
-$$
-where $\surf_N$ and $\surf_D$ now stand respectively for $\tline\times\surf_{t_0N}$ and $\tline\times\surf_{t_0D}$.
-
-## Library scope and range
-
-**In terms of equations:**
-
-In its current version (1.0.0), the Bvpy library can handle non-homogeneous second order Partial Differential Equations (*PDEs*) with potentially non-linear first order terms but linear higher order ones. The unknown within these *PDEs* can be scalar fields, vector fields or second-order tensor fields.
+the integration domain and its boundaries can be split into one-dimension *time-*line and orthogonal *spatial* hyperplanes: $\Omega = [t_0, t_{\infty}]\times\Omega_{t_0}$, $\partial\Omega_N=[t_0, t_{\infty}]\times\partial\Omega_{t_0N}$ and $\partial\Omega_D=[t_0, t_{\infty}]\times\partial\Omega_{t_0D}$. Assuming that the spatial hyperplane $\Omega_{t_0}$ does not to evolve with time, such *IBVPs* can be implemented by coupling the resolution of time-dependent *BVPs* with time-integration schemes.
-Systems of coupled *PDEs* can be implemented.
-In time-dependent systems, according to the first line of eq.($\ref{eq:ibvp}$) we are restrincting ourselves to first-order time derivatives. Such restriction encompasses transport problems relevant in a biological context (diffusion-reaction, active transport...) but leaves aside wave equations.
+## Scope and range
-**In terms of domains:**
+**In terms of equations:** In its current version (1.0.0), Bvpy can handle non-homogeneous second order Partial Differential Equations (*PDEs*) with potentially non-linear first order terms but linear higher order ones. The unknown within these *PDEs* can be scalar fields, vector fields or second-order tensor fields. Systems of coupled *PDEs* can be implemented. We extended the initial notion of *BVP* to encompass *IBVPs* featuring first-order time derivatives, as described by \autoref{eq:ibvp}.
-Bvpy provides some geometrical primitives to generate simple 2D and 3D domains (rectangles, cubes, ellipoids, torus) as well as some basic Constructive Solid Geometry (*CSG*) functionalities (addition, substraction and intersection) to combine these simple geometrical objects into more complex ones.
+**In terms of domains:** Bvpy provides geometrical primitives to generate simple 2D and 3D domains (rectangles, cubes, ellipoids, torus, ...) as well as basic Constructive Solid Geometry (*CSG*) functionalities (addition, substraction and intersection) to combine these primitives into more complex geometries. The library can also handle triangulated, as well as piecewise-polygonal, meshes generated elsewhere. In the current version, `.txt` , `.ply` and `.obj` files are accepted as inputs.
-The library also provide a set of readers to import and use triangulated meshes generated elsewhere. In the current version, `.txt` , `.ply` and `.obj` readers are available.
+**In terms of boundary conditions:** Classic *Dirichlet* and *Neumann* boundary conditions can be implemented as well as combinaisons of these along the domain boundaries. Periodic boundary conditions can also be defined.
-The library also provides tools to implement curved piecewise-polygonal domains that are ubiquitous in biophysical andr biomathematical contexts to describe biological tissues. Such domain must be provided as cellular complexes recorded in `.txt`, `.ply` or `.obj` format.
+## Organization
-**In terms of boundary conditions:**
+Bvpy has been developed and organized as close as possible to the *BVP* and *IBVP* mathematical formulations given in \autoref{eq:bvp} and \autoref{eq:ibvp}. The library is built around the following key components, see \autoref{fig:schema}:
-Classic *Dirichlet* and *Neumann* boundary conditions can be handled within the framework as well as combinaisons along the domain boundaries.
+* Two main classes, named `BVP` and `IBVP`, that respectively encapsulate FEniCS implementations of \autoref{eq:bvp}\& \autoref{eq:ibvp}.
+* Three main modules, `bvpy.domains`, `bvpy.vforms` and `bvpy.boundary_conditions` emulating the corresponding mathematical components of a *bvp*.
+* A `bvpy.solvers` module where a collection of FEniCS-based linear and non-linear solvers are available.
-## Library organization
+Besides these main components, the `bvpy.utils` module gathers some useful "housekeeping" functions regrouped thematically into sub-modules, *e.g.* `visu`, `io`... See online documentation.
-Inspired by FEniCS approach and principle, the Bvpy library has been developed and organized as close as possible to the *BVP* and *IBVP* mathematical formulations given in eqs.($\ref{eq:bvp}\& \ref{eq:ibvp}$). To that end, the library is built around:
+
-* Two main classes, named `BVP` and `IBVP`, that respectively encapsulate FEniCS implementations of eqs.($\ref{eq:bvp}\& \ref{eq:ibvp}$).
-Let's first detail the construction and functionning of the `BVP` class for the `IBVP` one inherits from it.
-
-
-
-<center> Fig.1: Representation of the main modules and submodules forming the Bvpy library. </center>
+## Example of use
+The following example is loosely inspired by [@Zhao:2020]. The idea is to estimate mechanical stress distribution within a 2D cross section of a pressurized plant tissue with heterogeneous rigidity. The goal here is to illustrate how parcimonuous, intuitive and yet insightful, Bvpy simulations can be.
+```python
+from bvpy import *
-## Examples of use
+# domain definition and meshing
+sepal = CustomPolygonalDomain.read("./sepal.ply", cell_size=.5, dim=2)
+sepal.discretize()
-### Quick prototyping
+# instanciation of an heterogeneous linear elastic model
+tissue_rigidities = {0: 100, 1: 300}
+young_moduli = HeterogeneousParameter(sepal.cdata, tissue_rigidities)
+elastic_response = LinearElasticForm(young=young_moduli, source=[0, 0],
+ plane_stress=True)
-To show the effective user-friendlyness of Bvpy, we propose to re-implement the classic Poisson equation as proposed in the first FEniCS tutorial [Langtangen:2017]. This can be done thanks to the built-in square domain and the Poisson variational form already available within the */bvp/template/* module.
+# loading forces implemented as Neumann boundary conditions
+inner_pressure = 1
+pressure_forces = NormalNeumann(val=inner_pressure, boundary='all')
-```python
-from bvpy.vforms import PoissonForm
-from bvpy.domains.primitives import HemiSphere
-from bvpy.boundary_conditions.dirichlet import ConstantDirichlet
-from bvpy import BVP
+# problem definition and resolution
+prblm = BVP(sepal, elastic_response, pressure_forces)
+prblm.solve(linear_solver='gmres', absolute_tolerance=1e-2)
-prblm = BVP(domain=HemiSphere(radius= 1, resolution=0.1),
- vform=PoissonForm(source=10),
- bc=ConstantDirichlet(0, boundary='all'))
-
-prblm.solve()
+# stress field computation
+displacement = prblm.solution
+stress = elastic_response.stress(displacement)
```
-### Advanced example 1: Turing system on a curved surface
+The recorded results can be processed by third-party software, *e.g.* \autoref{fig:sepal_stress} shows the visualization of the corresponding stress field within the Paraview software.
-Through this second example, we want to illustrate how Bvpy can be used to enhance collaboration between experienced modelers and end users. To that end, the we want to model, within our framework, an active transport mechanism ocuring within an epithelium. The epithelium, *i.e.* the domain of interest can be modeled as a smooth curved 2D surface. This can be done easily thanks to the built-in geometrical primitives directly available. However, the active transport equation is not already available as an existing template. Its variational form will need to be implemented as a new *vform* class, this is the most technical part and as such is performed by the experienced modeler, see code block below. Once this new vform template is developed, the end user can use it to instantiate its active transport model, see second code block below.
+
-### Advanced example 2: Plant cell wall mechanics
+More examples are available in the tutorial section of the online documentation.
-In this final example, we want to illustrate how complex structures can be considered to generate new *domain templates*. The idea is to simulate the mechanical equilibrium of a plant tissue. Such mechanical equilibrium involve pressure forces generated within the plant cells and the elastic response of plant cell walls [@Boudaoud:2010]. Such multicellular structure mechanically behaves as an *elastic foam* and is represented as a non-Riemannian triangular mesh. Such structure can be represented thanks to the `CustomDomain` class.
-TODO...
# Acknowledgements
-The authors would like to thank Guillaume Cerutti and Jonathan Legrand for their numerous advices and suggestions during the maturation of this work and their thoughful comments on the manuscript.
+The authors would like to thank Guillaume Cerutti and Jonathan Legrand for their numerous advices and their technical guidance during the maturation of this work.
-This work was supported by the Inria grant Blablabla.
+This work was supported by the Inria grant *ADT Gnomon*.
-# Reference
-------
-
-#### Footnotes:
-
-[^1]: Various scales have been considered: subcellular, cellular and multicellular
-[^2]: *i.e.* low-order, homogeneous, differential equations solved on highly symmetrical and smooth domains.
-
-[^3]: Often refered to as the *weak form* or *variational formulation* of the differential equation at stake.
-[^4]: This means that $DS^2$, *i.e.* Dynamical Systems with Dynamical Structures are out of the scope of the present library.
-
-------
-
-#### Trash bin
-
-> ### The `BVP` class
->
-> By construction, a boundary value problem encompasses three elements: *(i)* A (set of) differential equation(s), first line of eq.$(\ref{eq:bvp})$, relating the field of interest and its derivatives (resp. $\field$ and $\grad{\field}$). *(ii)* An integration domain, $\body\subset\euclid{n}$, corresponding to the subset of the variable space where the equation(s) at stake must be solved. And *(iii)* boundary conditions, second and third lines of eq.$(\ref{eq:bvp})$, encoding *a priori* constrains on the values of $\field$ and $\grad{\field}$ on the borders of the integration domain: $\surf=\surf_N\cup\surf_D$.
->
-> These three components form the `BVP` class minimal signature. They each correspond to specific classes implemented into dedicated modules and/or templates, see fig.(\autoref{fig:schema}).
->
-> ### The `IBVP` class
->
-> First-order time-dependent differential problems, *e.g.* first line of eq.($\ref{eq:ibvp}$), can be solved by first discretizing the time derivative through a finite difference approximation. The resulting stationnary problems can then considered as a recursive set of *BVPs*. First and second line of eq.($\ref{eq:schemes}$) below shows respectively (explicit) forward and (implicit) backward Euler schemes that can be used. A tag enableling the selection of one of them is added as a fourth mandatory argument to the `ibvp` class signature.
-> $$
-> \begin{cases}
-> u_{n+1}(\pos) = u_n(\pos) - F(t_n, \field_n, \grad{\field_n} \dots)\Delta t\\
-> u_{n+1}(\pos) + F(t_{n+1}, \field_{n+1}, \grad{\field_{n+1}} \dots)\Delta t = u_n
-> \end{cases}
-> \label{eq:schemes}
-> $$
->
->
->
-> ### The `vforms`module
->
-> *vform* stands for "variational form". This module is built around the `AbstractVform` class
->
-> `vform`: A represenation of the variational form of the equation at stake. The `vform` argument can also be chosen from a collection of built-in templates, located in the *template/vforms* submodule. These templates also derive from an original *abstract class*, within the *vforms/abstract* submodule. Similarly to domains, custom `vform` instances can be built from original equations. From a string formulation of the variational formulation of any equation the corresponding `vform` can be instanciated thanks to the *utils/interface* submodule.
->
-> ### The `domains` module
->
-> `domain`: A piecewise linear approximation of the integration domain to consider. The `domain` argument can be chosen from a collection of built-in templates, located in the *template/domains* submodule (see chart in fig.\autoref{fig:schema}). These templates correspond to subclasses derived from an original *abstract class*, located within the *domain/abstract* submodule. In addition, a collection of geometric primitives is available within the *domain/primitive* submodule. These primitive corresponds to subclasses of original `AbstractDomain` class to quickly instantiate triangulated basic geoemtrical shapes. Finally, custom triangular mesh structures can be generated from input meshes thanks to the *utils/io* submodule and the `CustomDomain` subclass, from the *domain* module. Both the geometrical primitive meshes and the custom meshes generation relies on the used of the Gmsh library.
->
-> ### The `boundary_conditions` module
->
-> `boundary_conditions`: A representation of the considered boundary conditions. This argument is to be chosen as an instance of one of the classes defined in the *boundary_conditions* module, as exposed in fig. \autoref{fig:schema}.
->
-> All the other simulation parameters (*e.g.* the function space, the type of elements, the solver...) are defined as attributes of the `BVP` class and can be manualy set by savvy users. General defaults values are implemented so inexperienced users do not have to worry about these details at first. A final module named *solvers* gathers classes and tools to properly implement various FEniCS solvers.
\ No newline at end of file
+# Reference
diff --git a/setup.py b/setup.py
index a2a983c4f54c6c11989d33dac0c53f52a8833275..d88c094b76bbba8ddba21edc8b7f5f2c3e9988bc 100644
--- a/setup.py
+++ b/setup.py
@@ -15,7 +15,7 @@ pkgs = find_packages('src')
setup_kwds = dict(
name='bvpy',
- version="0.9.0",
+ version="1.0.0",
description=short_descr,
long_description=readme + '\n\n' + history,
author="Florian Gacon",
diff --git a/src/bvpy/boundary_conditions/boundary.py b/src/bvpy/boundary_conditions/boundary.py
index fa1c162b9a60b75c664a7726f643915dc9d17981..2ddb5fa4dc69a2517957ea5d7f26195fd1c2d3d9 100644
--- a/src/bvpy/boundary_conditions/boundary.py
+++ b/src/bvpy/boundary_conditions/boundary.py
@@ -33,7 +33,7 @@ _XYZ = {'x': Symbol('x[0]'),
class Boundary(object):
- """Short summary.
+ """Defines the boundary of a domain.
Parameters
----------
@@ -43,13 +43,20 @@ class Boundary(object):
Attributes
----------
- _expr : type
- Description of attribute `_expr`.
- _domain : type
- Description of attribute `_domain`.
+ _string : str
+ The sting passed to the class
+ _expr : str
+ The parsed string for fenics.
+ _domain : SubDomain
+ The subdomain fenics defining the boundary.
+ _kwargs : dict
+ Optional argument.
+
+ Examples
+ --------
+ >>> Boundary("near(x+a, 2)", a=0) & Boundary("all")
"""
-
def __init__(self, expr, **kwargs):
"""Constructor of the Boundary class.
@@ -167,24 +174,3 @@ class Boundary(object):
self._domain.mark(meshfunc, valueTrue)
return meshfunc
-
-
-if __name__ == '__main__':
- logger.setLevel(10)
-
- mesh = fe.UnitSquareMesh(2, 2)
- Boundary = Boundary("near(x, a)", a=0.5) | Boundary("near(y, b)", b=0)
-
- mf = Boundary.markMeshFunction(2, mesh)
-
- domain2 = Boundary('x > 0') & Boundary('all')
- domain2.markMeshFunction(29, meshfunc=mf)
-
- print(mf.array())
-
- from femtk.boundary_conditions.dirichlet import ConstantDirichlet
- V = fe.FunctionSpace(mesh, 'P', 1)
-
- dir = ConstantDirichlet(0, Boundary)
-
- fenicsdir = dir.apply(V)
diff --git a/src/bvpy/boundary_conditions/dirichlet.py b/src/bvpy/boundary_conditions/dirichlet.py
index c366b9d03be2b214ff5187e527c542f30ab6409f..e4fb6786c519fa1407b74449fbb024072efafb74 100644
--- a/src/bvpy/boundary_conditions/dirichlet.py
+++ b/src/bvpy/boundary_conditions/dirichlet.py
@@ -22,6 +22,7 @@ import fenics as fe
from bvpy import logger
import numpy as np
+import numpy.linalg as lng
from sympy import Symbol
from sympy.parsing.sympy_parser import parse_expr
@@ -36,30 +37,20 @@ _XYZ = {'x': Symbol('x[0]'),
class ConstantDirichlet(object):
"""Defines a constant Dirichlet condition on a domain.
- Parameters
- ----------
- val : float, int, list, tuple
- The value(s) to impose on the boundary domain.
- boundary : :class:`Domain<bvpy.boundary_conditions.domains.Domain>`
- Defines where the condition should be applied (the default is None).
- method : str
- Name of the method to use (the default is 'topological').
- subspace : int
- Defines a subspace of the functionspace where
- the condition must be applied (the default is None).
-
"""
def __init__(self, val,
- boundary=None, method='topological', subspace=None):
+ boundary="all", method='topological', subspace=None):
"""Generator of the ConstantDirichlet class.
Parameters
----------
val : float, int, list, tuple
The value(s) to impose on the boundary domain.
- boundary : :class:`Domain<bvpy.boundary_conditions.domains.Domain>`
- Defines where the condition must be applied (the default is None).
+ boundary : str or
+ :class:`Boundary<bvpy.boundary_conditions.boundary.Boundary>`
+ Optional. Defines where the condition must be applied
+ (the default is "all").
method : str
Name of the method to use (the default is 'topological').
subspace : int
@@ -88,7 +79,8 @@ class ConstantDirichlet(object):
Parameters
----------
- functionSpace : :class:`DOLFIN FunctionSpace<dolfin.cpp.function.FunctionSpace>`
+ functionSpace :
+ :class:`DOLFIN FunctionSpace<dolfin.cpp.function.FunctionSpace>`
Function space on which the boundary condition must be enforced.
Returns
@@ -128,23 +120,9 @@ class ConstantDirichlet(object):
class VariableDirichlet(object):
"""Defines a variable Dirichlet condition on a domain.
- Parameters
- ----------
- val : float, int, list, tuple
- The value(s) to impose on the boundary domain.
- boundary : :class:`Domain<bvpy.boundary_conditions.domains.Domain>`
- Defines where the condition should be applied (the default is None).
- method : str
- Name of the method to use (the default is 'topological').
- subspace : int
- Defines a subspace of the functionspace where
- the condition must be applied (the default is None).
- degree : ???
- Description .... (the default is None).
-
"""
- def __init__(self, val, boundary,
+ def __init__(self, val, boundary="all",
method='topological', subspace=None, degree=None):
"""Generator of the VariableDirichlet class.
@@ -153,14 +131,16 @@ class VariableDirichlet(object):
val : str
A expression that specify the mathematical formulation
of the boundary condition to consider.
- boundary : :class:`Domain<bvpy.boundary_conditions.domains.Domain>`
- Defines where the condition must be applied (the default is None).
+ boundary : str or
+ :class:`Boundary<bvpy.boundary_conditions.boundary.Boundary>`
+ Optional. Defines where the condition must be applied
+ (the default is "all").
method : str
Name of the method to use (the default is 'topological').
subspace : int
Defines a subspace of the functionspace where
the condition must be applied (the default is None).
- degree : ???
+ degree : int
Description .... (the default is None).
Yields
@@ -185,7 +165,8 @@ class VariableDirichlet(object):
Parameters
----------
- functionSpace : :class:`DOLFIN FunctionSpace<Dolfin.cpp.function.FunctionSpace>`
+ functionSpace :
+ :class:`DOLFIN FunctionSpace<Dolfin.cpp.function.FunctionSpace>`
Function space on which the boundary condition must be enforced.
Returns
@@ -241,7 +222,8 @@ def dirichlet(val, boundary, method='topological', subspace=None, degree=None):
----------
val : float, int, list, tuple, str
The value(s), or expression, to impose on the boundary domain.
- boundary : :class:`Domain<bvpy.boundary_conditions.domains.Domain>`
+ boundary : str or
+ :class:`Boundary<bvpy.boundary_conditions.boundary.Boundary>`
Defines where the condition must be applied (the default is None).
method : str
Name of the method to use (the default is 'topological').
@@ -272,14 +254,15 @@ class ZeroDirichlet(ConstantDirichlet):
Parameters
----------
- domain : :class:`Domain<bvpy.boundary_conditions.domains.Domain>`
+ boundary : str or
+ :class:`Boundary<bvpy.boundary_conditions.boundary.Boundary>`
Class definig the domain of the boundary condition.
shape : int or tuple of int
Shape of the value for the Dirichlet condition (the default is 0).
"""
- def __init__(self, boundary='all', shape=0):
+ def __init__(self, boundary='all', shape=0, **kwargs):
"""Generates a zero Dirichlet boundary condition on a Domain.
Parameters
@@ -289,14 +272,22 @@ class ZeroDirichlet(ConstantDirichlet):
shape : int or tuple of int
Shape of the value for the Dirichlet condition (the default is 0).
+ Other parameters
+ ----------------
+ method : str
+ Name of the method to use (the default is 'topological').
+ subspace : int
+ Defines a subspace of the functionspace where
+ the condition must be applied (the default is None).
+
"""
if isinstance(boundary, str):
boundary = Boundary(boundary)
if shape == 0:
- super().__init__(0, boundary)
+ super().__init__(0, boundary, **kwargs)
else:
- super().__init__(np.zeros(shape), boundary)
+ super().__init__(np.zeros(shape), boundary, **kwargs)
class NormalDirichlet(object):
@@ -309,7 +300,8 @@ class NormalDirichlet(object):
----------
val : float optional
amplitude of the normal vector field (the default is 1).
- boundary : :class:`Domain<bvpy.boundary_conditions.domains.Domain>`,
+ boundary : str or
+ :class:`Boundary<bvpy.boundary_conditions.boundary.Boundary>`
optional
defines where the condition must be applied (the default is 'all').
method : str
diff --git a/src/bvpy/boundary_conditions/neumann.py b/src/bvpy/boundary_conditions/neumann.py
index 38f7282d4f8ee6ab6b91aa0337333c83f31abe75..d351a864569233f1c51c65c4b32a696c2a19cf86 100644
--- a/src/bvpy/boundary_conditions/neumann.py
+++ b/src/bvpy/boundary_conditions/neumann.py
@@ -188,19 +188,3 @@ class NormalNeumann(NeumannInterface):
if mf is not None:
self.markMeshFunction(mf)
return boundary_normal(functionSpace.mesh(), scale=self._val)
-
-
-if __name__ == '__main__':
-
- mesh = fe.UnitSquareMesh(2, 2)
- mf = fe.MeshFunction('size_t', mesh, 1)
- V = fe.FunctionSpace(mesh, 'P', 1)
-
- d1 = Boundary("near(x, 0)")
-
- c1 = ConstantNeumann(0, 1)
-
- v3 = VariableNeumann("0", 1)
- c2 = ConstantNeumann(0, 1)
- v4 = VariableNeumann("9", d1)
- v4.apply(V, mf)
diff --git a/src/bvpy/boundary_conditions/periodic.py b/src/bvpy/boundary_conditions/periodic.py
index 6cf779fb7a1ccfb6fb606849f7c48237a90944b4..e0f9ad4ee61246f9399989ea9c1dd44fd0a0818c 100644
--- a/src/bvpy/boundary_conditions/periodic.py
+++ b/src/bvpy/boundary_conditions/periodic.py
@@ -1,9 +1,78 @@
+# -*- python -*-
+# -*- coding: utf-8 -*-
+#
+# bvpy.boundary_conditions.periodic
+#
+# File author(s):
+# Florian Gacon <florian.gacon@inria.fr>
+#
+# File contributor(s):
+# Florian Gacon <florian.gacon@inria.fr>
+#
+# File maintainer(s):
+# Florian Gacon <florian.gacon@inria.fr>
+#
+# Distributed under the Cecill-C License.
+# See accompanying file LICENSE.txt or copy at
+# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
+#
+# -----------------------------------------------------------------------
+
+
import fenics as fe
# Sub domain for Periodic boundary condition
class SquarePeriodicBoundary(fe.SubDomain):
+ """Defines periodic boundary conditions on a rectangular domain.
+
+ Attributes
+ ----------
+ x1 : int, float
+ Abscissa of the lower left corder of the considered rectangle
+ (the default is 0).
+ y1 : int, float
+ Ordinate of the lower left corder of the considered rectangle
+ (the default is 0).
+ x2 : int, float
+ Abscissa of the upper right corder of the considered rectangle
+ (the default is 1).
+ y2 : int, float
+ Ordinate of the upper right corder of the considered rectangle
+ (the default is 1).
+
+ """
+
def __init__(self, *args, x=0, y=0, length=1, width=1, **kwargs):
+ """Instanciates periodic boundary conditions.
+
+ Parameters
+ ----------
+ x : int, float
+ Abscissa of the lower left corder of the rectangle to consider
+ (the default is 0).
+ y : int, float
+ Ordinate of the lower left corder of the rectangle to consider
+ (the default is 0).
+ length : int, float
+ size of the rectangle along the abscisse direction
+ (the default is 1).
+ width : int, float
+ size of the rectangle along the ordinate direction
+ (the default is 1).
+
+ Other parameters
+ ----------------
+ *args : type
+ Description of parameter `*args`.
+ **kwargs : type
+ Description of parameter `**kwargs`.
+
+ Returns
+ -------
+ None
+
+ """
super().__init__(*args, **kwargs)
self.x1 = x
@@ -12,15 +81,45 @@ class SquarePeriodicBoundary(fe.SubDomain):
self.y2 = width + y
def inside(self, x, on_boundary):
+ """Short summary.
+
+ Parameters
+ ----------
+ x : list, numpy.ndarray
+ position vector to test.
+ on_boundary :
+ :class:`Boundary<bvpy.boundary_conditions.boundary.Boundary>`
+ The boundary of the considered domain.
+
+ Returns
+ -------
+ Bool
+ True if the position vector is inside the domain, False otherwise.
+
+ """
return (fe.near(x[0], self.x1)
or fe.near(x[1], self.y1))\
- and (not ((fe.near(x[0], self.x1)
- and fe.near(x[1], self.y2))
- or (fe.near(x[0], self.x2)
+ and (not ((fe.near(x[0], self.x1)
+ and fe.near(x[1], self.y2))
+ or (fe.near(x[0], self.x2)
and fe.near(x[1], self.y1))))\
- and on_boundary
+ and on_boundary
def map(self, x, y):
+ """Connects two points from different sides of the domain.
+
+ Parameters
+ ----------
+ x : list, numpy.ndarray()
+ first position vector to consider.
+ y : list, numpy.ndarray()
+ second position vector to consider.
+
+ Returns
+ -------
+ None.
+
+ """
if fe.near(x[0], self.x2) and fe.near(x[1], self.y2):
y[0] = x[0] - self.x2
y[1] = x[1] - self.y2
diff --git a/src/bvpy/bvp.py b/src/bvpy/bvp.py
index 4aa7f981fb1d5f09722739bd295ee69a62e72487..0fa496bdac2e57e314e45481769f9905e4b8ec05 100644
--- a/src/bvpy/bvp.py
+++ b/src/bvpy/bvp.py
@@ -43,6 +43,17 @@ from bvpy.solvers.nonlinear import NonLinearSolver
class BVP(object):
"""Main class of the library, encodes a Boundary-Value Problem.
+ Parameters
+ ----------
+ domain : subclass of :class:`AbstractDomain<bvpy.domains.abstract.AbstractDomain>`
+ Integration domain, described by both a geometry and a mesh
+ (the default is None).
+ vform : subclass of :class:`AbstractVform<bvpy.vform.abstract.AbstractVform>`
+ Variational form to solve. Encompass the type(s) of Finite Elements
+ to consider (the default is None).
+ bc : :class:`DOLFIN DirichletBC<Dolfin.cpp.fem.DirichletBC>`
+ Boundary conditions in a Dolfin/FEniCS-readable format.
+
Attributes
----------
functionSpace :
@@ -55,8 +66,10 @@ class BVP(object):
Solution of the problem.
dirichletCondition :
Dirichlet boundary conditions to apply.
- _dirichlet_class :
- ???
+ _dirichlet_class : list
+ Container for the dirichlet.
+ neumannCondition : dict
+ Neumann condition to apply
pointSource : :class:`PointSource<dolfin.cpp.fem.PointSource>`
A specific type of boundary condition where the constrain is only
applied to a single point.
@@ -69,22 +82,7 @@ class BVP(object):
def __init__(self, domain: AbstractDomain = None,
vform: AbstractVform = None, bc=None):
- """Generates an instance of BVP.
-
- Parameters
- ----------
- domain : :class:`AbstractDomain<bvpy.domains.abstract.AbstractDomain>`
- or subclass.
- Integration domain, described by both a geometry and a mesh
- (the default is None).
- vform : :class:`AbstractVform<bvpy.vform.abstract.AbstractVform>`
- or subclass
- Variational form to solve. Encompass the type(s) of Finite Elements
- to consider (the default is None).
- bc : :class:`DOLFIN DirichletBC<Dolfin.cpp.fem.DirichletBC>`
- Boundary conditions in a Dolfin/FEniCS-readable format.
- """
self.functionSpace: Union[fe.FunctionSpace, fe.VectorFunctionSpace,
fe.TensorFunctionSpace] = None
self.testFunction: fe.TestFunction = None
@@ -242,7 +240,9 @@ class BVP(object):
self.vform._set_measures(self.domain.dx, self.domain.ds)
- self._pointsources = [fe.PointSource(self.functionSpace, d['point'], d['value']) for d in self.vform._pointsources]
+ self._pointsources = [fe.PointSource(self.functionSpace,
+ d['point'], d['value'])
+ for d in self.vform._pointsources]
def _finite_element_constructor(self, elems):
finite_elems = []
diff --git a/src/bvpy/domains/custom_domain.py b/src/bvpy/domains/custom_domain.py
index e13126bf15ed4f3c093c9e118fb56af4bc5f22f7..c1c54b9090fb66ce1246dfde1856e52a652abc28 100644
--- a/src/bvpy/domains/custom_domain.py
+++ b/src/bvpy/domains/custom_domain.py
@@ -133,11 +133,3 @@ class CustomDomain(AbstractDomain, BuiltInModel):
cells = mesh_io.cells_dict["triangle"]
return CustomDomain(points, cells)
-
-
-if __name__ == "__main__":
- mesh = fe.UnitSquareMesh(2,2)
- d = CustomDomain(mesh.coordinates(), mesh.cells(), dim=2)
-
- from bvpy.utils.visu import plot
- plot(d)
diff --git a/src/bvpy/domains/custom_polygonal.py b/src/bvpy/domains/custom_polygonal.py
index 140455dad6931df5f78eeb06635f7ecf54764391..dadfa7508e2eaca7a732546aabd4d7a3c33ea0e0 100644
--- a/src/bvpy/domains/custom_polygonal.py
+++ b/src/bvpy/domains/custom_polygonal.py
@@ -245,10 +245,3 @@ class CustomPolygonalDomain(AbstractDomain, OccModel):
isoriented=isoriented,
clear=clear,
dim=dim)
-
-
-if __name__ == "__main__":
- tissue = CustomPolygonalDomain.read('/Users/florian/code/mosaic/bvpy/data/example_domain_curved_cellularized_tissue.ply')
- from bvpy.utils.visu import plot
- tissue.discretize()
- plot(tissue.cdata)
diff --git a/src/bvpy/domains/geometry.py b/src/bvpy/domains/geometry.py
index 997d24538414a49458a9aa5115d27be1209723ec..1a8d80926004c6799e1715f98547f5e96dd77897 100644
--- a/src/bvpy/domains/geometry.py
+++ b/src/bvpy/domains/geometry.py
@@ -125,7 +125,7 @@ def normal(domain, scale=1, interior=None, degree=1, name='normal'):
domain.discretize()
mesh = domain.mesh
- np.seterr(divide='ignore', invalid='ignore')
+ # np.seterr(divide='ignore', invalid='ignore')
V = fe.VectorFunctionSpace(mesh, 'P', degree, dim=3)
mesh.init_cell_orientations(Init_orientation_3D(mesh, interior))
@@ -278,4 +278,3 @@ def boundary_normal(domain, scale=1, name='boundary_normal'):
u.rename(name, 'label')
return u
-# geometry.py ends here
diff --git a/src/bvpy/ibvp.py b/src/bvpy/ibvp.py
index 8155544d535063c43850ec935dbaeb2f80ae439c..8437aef27f31ac77ae322af9bdc251301a6566d5 100644
--- a/src/bvpy/ibvp.py
+++ b/src/bvpy/ibvp.py
@@ -19,21 +19,55 @@
# -----------------------------------------------------------------------
import logging
-from bvpy import BVP, MPI_COMM_WORLD, logger
-from ufl.classes import Zero
import fenics as fe
-from bvpy.solvers.linear import LinearSolver
-from bvpy.solvers.nonlinear import NonLinearSolver
-from bvpy.solvers.time_integration import Time
-
from collections import OrderedDict
+from ufl.classes import Zero
+from bvpy import BVP, MPI_COMM_WORLD, logger
+
+from bvpy.solvers.linear import LinearSolver
+from bvpy.solvers.nonlinear import NonLinearSolver
+from bvpy.solvers.time_integration import Time, ImplicitEuler
from bvpy.utils.progress_bar import ProgressBar
class IBVP(BVP):
- def __init__(self, domain=None, vform=None, scheme=None,
- bc=None, initial_state=None):
+ """Class implementing IBVP (Initial-Boundary Value Problem).
+
+ Parameters
+ ----------
+ domain : subclass of :class:`AbstractDomain<bvpy.domains.abstract.AbstractDomain>`
+ Integration domain, described by both a geometry and a mesh.
+ (the default is None).
+ vform : subclass of :class:`AbstractVform<bvpy.vform.abstract.AbstractVform>`
+ Variational form to solve. Encompass the type(s) of Finite Elements
+ to consider (the default is None).
+ bc : list or :class:`ConstantDirichlet<bvpy.boundary_conditions.dirichlet.ConstantDirichlet>`, :class:`VariableDirichlet<bvpy.boundary_conditions.dirichlet.VariableDirichlet>`, :class:`ConstantNeumann<bvpy.boundary_conditions.neumann.ConstantNeumann>`, :class:`VariableNeumann<bvpy.boundary_conditions.neumann.VariableNeumann>`
+ Boundary conditions.
+ initial_state : type
+ Description of parameter `initial_state`.
+ scheme : type
+ Boundary conditions in a list
+
+ Attributes
+ ----------
+ time : type
+ Description of attribute `time`.
+ previous_solution : type
+ Description of attribute `previous_solution`.
+ solution : type
+ Description of attribute `solution`.
+ _progressbar : type
+ Description of attribute `_progressbar`.
+ solution_steps : type
+ Description of attribute `solution_steps`.
+ set_initial_solution : type
+ Description of attribute `set_initial_solution`.
+ scheme
+
+ """
+ def __init__(self, domain=None, vform=None, bc=None,
+ initial_state=None, scheme=ImplicitEuler):
super().__init__(domain=domain, vform=vform, bc=bc)
self.time = Time()
@@ -68,6 +102,10 @@ class IBVP(BVP):
self.set_time(t_i)
self.scheme.dt = dt
+ self._linear_solver = kwargs.pop('linear_solver', 'mumps')
+ self._absolute_tolerance = kwargs.pop('absolute_tolerance', 1e-10)
+ self._relative_tolerance = kwargs.pop('relative_tolerance', 1e-10)
+
if store_steps:
self.solution_steps = OrderedDict()
self.solution_steps[self.time.current] =\
@@ -153,7 +191,11 @@ class IBVP(BVP):
if self.scheme.type == 'implicit':
self.time.step(self.scheme.dt)
- self.solve(lhs, rhs, **kwargs)
+ self.solve(lhs, rhs,
+ linear_solver=self._linear_solver,
+ absolute_tolerance=self._absolute_tolerance,
+ relative_tolerance=self._relative_tolerance,
+ **kwargs)
self.previous_solution.assign(self.solution)
elif self.scheme.type == 'explicit':
diff --git a/src/bvpy/solvers/time_integration.py b/src/bvpy/solvers/time_integration.py
index 054faa7a0b11c889a167022be0096a21236dde30..9de6e1f650eef929b00450703ea2446ae073281c 100644
--- a/src/bvpy/solvers/time_integration.py
+++ b/src/bvpy/solvers/time_integration.py
@@ -1,7 +1,39 @@
+# -*- python -*-
+# -*- coding: utf-8 -*-
+#
+# bvpy.solvers.time_integration
+#
+# File author(s):
+# Florian Gacon <florian.gacon@inria.fr>
+#
+# File contributor(s):
+# Florian Gacon <florian.gacon@inria.fr>
+#
+# File maintainer(s):
+# Florian Gacon <florian.gacon@inria.fr>
+#
+# Distributed under the Cecill-C License.
+# See accompanying file LICENSE.txt or copy at
+# http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html
+#
+# -----------------------------------------------------------------------
+
import fenics as fe
from ufl.classes import Zero
class Time():
+ """Container class for Time.
+
+ Parameters
+ ----------
+ current : int or float
+ Current time.
+
+ Attributes
+ ----------
+ current
+
+ """
def __init__(self, current=0):
self.current = current
@@ -9,6 +41,24 @@ class Time():
self.current += dt
class FirstOrderScheme():
+ """Generic class for first order time integration scheme.
+
+ Parameters
+ ----------
+ vform : subclass of :class:`AbstractVform<bvpy.vforms.abstract.AbstractVform>`
+ The vform to integrate.
+
+ Attributes
+ ----------
+ _vform : subclass of :class:`AbstractVform<bvpy.vforms.abstract.AbstractVform>`
+ previous_solution : :class:`Function<dolfin.cpp.function.Function>`
+ The previous solution.
+ dt : int or float
+ Integration time-step.
+ _type : string
+ Type of scheme: 'implicit' or 'explicit'.
+
+ """
def __init__(self, vform):
self._vform = None
self.previous_solution = None
@@ -43,6 +93,9 @@ class FirstOrderScheme():
class ImplicitEuler(FirstOrderScheme):
+ """Implicit Euler scheme.
+
+ """
def __init__(self, vform):
super().__init__(vform)
self._type = 'implicit'
@@ -67,6 +120,9 @@ class ImplicitEuler(FirstOrderScheme):
class ExplicitEuler(FirstOrderScheme):
+ """Explicit Euler scheme.
+
+ """
def __init__(self, vform):
super().__init__(vform)
self._type = 'explicit'
diff --git a/src/bvpy/utils/post_processing.py b/src/bvpy/utils/post_processing.py
index 60f45fd65d6e4871d736d55c9bc4a717657f2eb8..a4e54d37c286dc77a943cda0b1d5dd5faf715ea4 100644
--- a/src/bvpy/utils/post_processing.py
+++ b/src/bvpy/utils/post_processing.py
@@ -147,7 +147,7 @@ class SolutionExplorer(object):
sort : string
Sort the coordinates and the Function on the specify axe (could be 'x', 'y' or 'z').
Do not sort if None.
-
+
Returns
-------
numpy.ndarray
@@ -277,26 +277,3 @@ def estimate_precision(prblm, prediction, output='array', **kwargs):
error = abs(diff / mean)
return fe.project(error, func_space)
-
-
-if __name__ == "__main__":
- import fenics as fe
- mesh = fe.UnitSquareMesh(2,2)
- V = fe.FunctionSpace(mesh, 'P', 1)
- VV = fe.VectorFunctionSpace(mesh, 'P', 1)
- VVV = fe.TensorFunctionSpace(mesh, 'P', 1, shape=(3,3))
-
- cc = fe.Constant([1,0])
- c = fe.Constant(1)
- ccc= fe.Constant(np.diag([1,1,1]))
- mm = SolutionExplorer(fe.project(cc, VV))
- u = fe.project(c, V)
- u.vector()[0] = 0
- m = SolutionExplorer(u)
- uuu = fe.project(ccc, VVV)
- uuu.vector()[0] = 0
- mmm = SolutionExplorer(uuu)
-
- mf = fe.MeshFunction('size_t', mesh, 2, 0)
- mf[3] = 1
- mf[7] = 1
diff --git a/src/bvpy/version.py b/src/bvpy/version.py
index 42593bcc45ef3be2254385785a2f46cadfc5ef00..a4a549a23a2f42613729527d1252f80f455df8d0 100644
--- a/src/bvpy/version.py
+++ b/src/bvpy/version.py
@@ -5,10 +5,10 @@ Do not edit this file, use 'version' section of config.
# {# pkglts, version
# -*- coding: utf-8 -*-
-MAJOR = 0
+MAJOR = 1
"""(int) Version major component."""
-MINOR = 9
+MINOR = 0
"""(int) Version minor component."""
POST = 0
diff --git a/src/bvpy/vforms/elasticity.py b/src/bvpy/vforms/elasticity.py
index f319a698de9d8762756edc46a47f0a06f6636a69..c992ee7ff700d309a56b04429bd8855d198426d4 100644
--- a/src/bvpy/vforms/elasticity.py
+++ b/src/bvpy/vforms/elasticity.py
@@ -31,6 +31,29 @@ __all__ = ['ElasticForm', 'LinearElasticForm', 'HyperElasticForm']
class ElasticForm(AbstractVform):
+ """Base class for elastic vform.
+
+ Parameters
+ ----------
+ source : list or :class:`Expression<dolfin.cpp.function.Expression>`
+ The body forces.
+ young : int or float
+ Young Modulus.
+ poisson : int or float
+ Poisson ratio.
+ plane_stress : bool
+ If considering plane stress or not.
+ thickness : int or float
+ Thickness of the material.
+
+ Attributes
+ ----------
+ _elements : :class:`Element<bvpy.vforms.abstract.Element>`
+ Description of the Finite Element.
+ _plane_stress : bool
+ If considering plane stress or not.
+
+ """
def __init__(self, source=[0, 0, 0], young=1, poisson=.5, plane_stress=False, thickness=1):
super().__init__()
self._elements = [Element('P', 1, 'vector')]
@@ -128,7 +151,7 @@ class ElasticForm(AbstractVform):
class LinearElasticForm(ElasticForm):
- """Linear elastic problem in the small deformation approximation.
+ """Linear elastic vform in the small deformation approximation.
"""
def _strain(self, u=None):
@@ -180,6 +203,16 @@ class LinearElasticForm(ElasticForm):
class HyperElasticForm(ElasticForm):
+ """Hyper Elastic vform.
+
+ Attributes
+ ----------
+ elastic_potential : type
+ Description of attribute `elastic_potential`.
+ model : type
+ Description of attribute `model`.
+
+ """
def __init__(self, source=None, young=1, poisson=.5,
material_model='st_venant', thickness=1, plane_stress=False):
super().__init__(source, young, poisson, plane_stress, thickness)
@@ -202,14 +235,6 @@ class HyperElasticForm(ElasticForm):
* fe.tr(E) * fe.tr(E)
W += self._parameters['mu'] * fe.tr(E * E)
- # if not isotrope:
- # d = direction_anisotropy
- # a = fe.as_vector(d)
- # A = fe.outer(a, a)
- #
- # W += 0.5 * lmbda_anisotrope * (fe.inner(A, E)) ** 2
- # W += mu_anisotrope * fe.inner(A, (E * E))
-
elif self.model == 'neo_hookean':
Ic = fe.tr(C)
J = fe.det(F)
@@ -224,9 +249,3 @@ class HyperElasticForm(ElasticForm):
def set_expression(self):
self._expression = "psi(u)dx - Budx - Tudx "
-
-
-if __name__ == '__main__':
- form = LinearElasticForm(source=2, young=1.5)
-
- form = HyperElasticForm(source=2, young=3, material_model='st_venant')
diff --git a/src/bvpy/vforms/helmholtz.py b/src/bvpy/vforms/helmholtz.py
index 98c175cfec9bc1115c46717bee27b70ca5ffc40a..16c52fcc5601f5a83620ed6f5af6deb6ec68c7b9 100644
--- a/src/bvpy/vforms/helmholtz.py
+++ b/src/bvpy/vforms/helmholtz.py
@@ -28,6 +28,16 @@ __all__ = ['HelmholtzForm']
class HelmholtzForm(AbstractVform):
+ """Helmholtz vform.
+
+ Parameters
+ ----------
+ source : list or :class:`Expression<dolfin.cpp.function.Expression>`
+ The source term of the problem.
+ linear_coef : int, float or :class:`Expression<dolfin.cpp.function.Expression>`
+ A lineat coefficient.
+
+ """
def __init__(self, source=0, linear_coef=2*pi**2):
super().__init__()
self._elements = [Element('P', 1, 'scalar')]
@@ -42,32 +52,3 @@ class HelmholtzForm(AbstractVform):
def set_expression(self):
self._expression = "grad(u)*grad(v)*dx - linear_coef*u*v*dx"
self._expression += " = source*v*dx"
-
-
-if __name__ == '__main__':
- import numpy as np
- from bvpy import BVP
- from bvpy.domains import Rectangle
- # from bvpy.vforms import HelmholtzForm
- from bvpy.boundary_conditions.dirichlet import dirichlet
- from bvpy.utils.visu import plot
- from bvpy.utils.pre_processing import create_expression
-
- dom = Rectangle(cell_size=.05)
- dom.discretize()
-
- cell_centers = [c.midpoint().array() for c in fe.cells(dom.mesh)]
- dist = [c_center - np.mean(cell_centers, axis=0)
- for c_center in cell_centers]
- dist = np.linalg.norm(dist, axis=1)
- id0 = list(dist).index(min(dist))
-
- arr = [1 if i == id0 else 0 for i in range(dom.mesh.num_entities(2))]
-
- hlm = HelmholtzForm(source=create_expression(arr))
- bcd = dirichlet(0, boundary='all')
- prblm = BVP(domain=dom, vform=hlm, bc=bcd)
-
- prblm.solve()
-
- plot(prblm.solution)
diff --git a/src/bvpy/vforms/plasticity.py b/src/bvpy/vforms/plasticity.py
index d52a2f556306398d7743ccbd9dcb95f06975548d..4b4bba665177e432c33d03834c775a997fd38ea9 100644
--- a/src/bvpy/vforms/plasticity.py
+++ b/src/bvpy/vforms/plasticity.py
@@ -5,6 +5,14 @@ import fenics as fe
class PlasticForm(ElasticForm):
+ """Plastic vform, implement the decomposition of the deformation gradient.
+
+ Parameters
+ ----------
+ F_plastic : list or :class:`Expression<dolfin.cpp.function.Expression>`
+ The plastic part of the deformation gradient.
+
+ """
def __init__(self, source=None, young=1, poisson=.3, plane_stress=False,
F_plastic=np.diag([1, 1, 1]), thickness=1):
super().__init__(source, young, poisson, plane_stress, thickness)
diff --git a/src/bvpy/vforms/poisson.py b/src/bvpy/vforms/poisson.py
index a50ee1646e728009598a3371365d326db6e33a76..00a3904170b5d0f3cbcda3a6a465a477a21c8967 100644
--- a/src/bvpy/vforms/poisson.py
+++ b/src/bvpy/vforms/poisson.py
@@ -29,12 +29,19 @@ __all__ = ['PoissonForm']
class PoissonForm(AbstractVform):
+ """Poisson vform.
+
+ Parameters
+ ----------
+ source : int, float or :class:`Expression<dolfin.cpp.function.Expression>`
+ Source term of the problem.
+
+ """
def __init__(self, source=0):
super().__init__()
self._elements = [Element('P', 1, 'scalar')]
self.set_parameters(source=source)
- #self.set_expression()
def construct_form(self, u, v, sol):
self.lhs = fe.inner(fe.grad(u), fe.grad(v))*self.dx
@@ -43,8 +50,3 @@ class PoissonForm(AbstractVform):
def set_expression(self):
self._expression = "grad(u)*grad(v)*dx"
self._expression += " = source'*v*dx"
-
-
-if __name__ == '__main__':
- form = PoissonForm(source=2)
- # form.add_element('P', 1)
diff --git a/test/test_ibvp.py b/test/test_ibvp.py
index 86fc5cd65500090f8b3f9895c0bc5a2f791f0f61..629e4b4c0b899e01828d5175a97eff64488bc125 100644
--- a/test/test_ibvp.py
+++ b/test/test_ibvp.py
@@ -3,14 +3,13 @@ import unittest
from bvpy import IBVP, logger
from bvpy.domains import Rectangle
from bvpy.vforms import PoissonForm
-from bvpy.solvers.time_integration import ImplicitEuler, ExplicitEuler
+from bvpy.solvers.time_integration import ExplicitEuler
from bvpy.boundary_conditions import dirichlet
from bvpy.utils.pre_processing import create_expression
import tempfile
-
class TestPoisson(unittest.TestCase):
def setUp(self):
"""Initiates the test.
@@ -21,32 +20,34 @@ class TestPoisson(unittest.TestCase):
self.bc = dirichlet(0, boundary="all")
self.dir = tempfile.TemporaryDirectory()
-
def tearDown(self):
"""Concludes and closes the test.
"""
self.dir.cleanup()
def test_constructor(self):
- ibvp = IBVP(self.domain, self.vform, ImplicitEuler, self.bc)
+ ibvp = IBVP(self.domain, self.vform, self.bc)
self.assertIsNotNone(ibvp.domain.mesh)
self.assertIsNotNone(ibvp.scheme)
def test_integrate_with_file(self):
- ibvp = IBVP(self.domain, self.vform, ImplicitEuler, self.bc)
+ ibvp = IBVP(self.domain, self.vform, self.bc)
ibvp.info()
- sol_0 = create_expression('exp(-a*pow(x, 2) - a*pow(y, 2))', degree=2, a=5)
+ sol_0 = create_expression('exp(-a*pow(x, 2) - a*pow(y, 2))',
+ degree=2, a=5)
ibvp.set_initial_solution(sol_0)
ibvp.integrate(0, 0.4, 0.02, self.dir.name+'/solution.xdmf')
def test_integrate_without_file(self):
- ibvp = IBVP(self.domain, self.vform, ImplicitEuler, self.bc)
- sol_0 = create_expression('exp(-a*pow(x, 2) - a*pow(y, 2))', degree=2, a=5)
+ ibvp = IBVP(self.domain, self.vform, self.bc)
+ sol_0 = create_expression('exp(-a*pow(x, 2) - a*pow(y, 2))',
+ degree=2, a=5)
ibvp.set_initial_solution(sol_0)
ibvp.integrate(0, 0.4, 0.02)
def test_integrate_explicit(self):
- ibvp = IBVP(self.domain, self.vform, ExplicitEuler, self.bc)
- sol_0 = create_expression('exp(-a*pow(x, 2) - a*pow(y, 2))', degree=2, a=5)
+ ibvp = IBVP(self.domain, self.vform, self.bc, scheme=ExplicitEuler)
+ sol_0 = create_expression('exp(-a*pow(x, 2) - a*pow(y, 2))',
+ degree=2, a=5)
ibvp.set_initial_solution(sol_0)
ibvp.integrate(0, 0.2, 1e-3)
diff --git a/test/test_neumann.py b/test/test_neumann.py
index 54e3a43e227eff3ffca67b97a0b1215aec238652..d7d492a242a50a305ae8fd0f3e4a7ac9cd3575fa 100644
--- a/test/test_neumann.py
+++ b/test/test_neumann.py
@@ -5,7 +5,7 @@ import fenics as fe
import numpy as np
-class TestDirichlet(unittest.TestCase):
+class TestNeumann(unittest.TestCase):
def setUp(self):
"""Initiates the test.
"""
@@ -14,15 +14,20 @@ class TestDirichlet(unittest.TestCase):
"""Concludes and closes the test.
"""
+ def test_neumannInterface(self):
+ neu_int = NeumannInterface(1, "all")
+ self.assertEqual("<NeumannInterface object, location: all, value: 1>", neu_int.__repr__())
+
def test_normal(self):
mesh = fe.UnitSquareMesh(2,2)
V = fe.VectorFunctionSpace(mesh, 'P', 1)
+ mf = fe.MeshFunction('size_t', mesh, 1)
neu = NormalNeumann(boundary='all')
neu = NormalNeumann(boundary=Boundary('all'))
self.assertEqual("<NormalNeumann object, location: all, value: 1>", neu.__repr__())
- d = neu.apply(V)
- np.testing.assert_array_almost_equal(d(1, 0.5), [1,0])
+ d = neu.apply(V, mf=mf)
+ np.testing.assert_array_almost_equal(d(1, 0.5), [1, 0])
def test_constant(self):
mesh = fe.UnitSquareMesh(2,2)
diff --git a/test/test_solvers.py b/test/test_solvers.py
index 34ad57f02cbc158a4a1eab94f0e22190293b00b9..9f17ee68d4128b09ea90fc366786b69a5de10936 100644
--- a/test/test_solvers.py
+++ b/test/test_solvers.py
@@ -109,12 +109,16 @@ class TestNonLinearSolver(unittest.TestCase):
self.bc = fe.DirichletBC(V, u_D, boundary)
+ # Define point pointSource
+ self.ps = fe.PointSource(V, fe.Point([0, 0, 0]), 0)
+
# Define variational problem
self.u = fe.Function(V) # Note: not TrialFunction!
v = fe.TestFunction(V)
trial = fe.TrialFunction(V)
f = fe.Expression(f_code, degree=2)
- self.F = q(self.u)*fe.dot(fe.grad(self.u), fe.grad(v))*fe.dx - f*v*fe.dx
+ self.F = q(self.u)*fe.dot(fe.grad(self.u), fe.grad(v))*fe.dx\
+ - f*v*fe.dx
# self.F1 = fe.derivative(self.F, self.u, v)
self.J = fe.derivative(self.F, self.u, trial)
@@ -130,7 +134,7 @@ class TestNonLinearSolver(unittest.TestCase):
solver = NonLinearSolver()
solver.parameters['krylov_solver']['monitor_convergence'] = False
solver.parameters['linear_solver'] = 'gmres'
- solver.set_problem(self.u, self.F, self.J, [self.bc], [])
+ solver.set_problem(self.u, self.F, self.J, [self.bc], [self.ps])
solver.solve()
error_L2 = fe.errornorm(self.u_e, self.u, 'L2')
assert(error_L2<1e-10), error_L2
diff --git a/tutorials/bvpy_tutorial_1_hello_world.ipynb b/tutorials/bvpy_tutorial_1_hello_world.ipynb
index 19924d8fde72361bd181c408bb021673d9e7e90a..3cda1ff181ffa2c9304c1619613851432120a36a 100644
--- a/tutorials/bvpy_tutorial_1_hello_world.ipynb
+++ b/tutorials/bvpy_tutorial_1_hello_world.ipynb
@@ -6,15 +6,15 @@
"source": [
"# First BVPY tutorial: The Poisson equation.\n",
"\n",
- "---\n",
+ "\n",
"In this first tutorial, you will discover the most basic commands and concepts of the **Bvpy** library by addressing the \"*Hello world!*\" of numerical estimation: **The Poisson problem**. This problem corresponds to the following *elliptic Partial Differential Equation*: $\\nabla^2 u(\\mathbf{x}) = f(\\mathbf{x})$ coupled with *Dirichlet* boundary conditions (*i.e.* constrains on the value of the seeked function $u(\\mathbf{x})$ on the border of the integration domain).\n",
"\n",
- "---\n",
"\n",
- "This tutorial covers:\n",
- "* Basic classes.\n",
- "* Info methods.\n",
- "* Error analys.\n",
+ "**Covered topics:**\n",
+ "\n",
+ "- Basic classes: `Rectangle()` (domain), `PoissonForm()` (vform), `BVP()` and main methods/functions: `.solve()`, `.info()`, `save()`, `plot()`...\n",
+ "\n",
+ "- Error analys.\n",
"\n",
"Download the notebook: [bvpy_tutorial_1](https://gitlab.inria.fr/mosaic/publications/bvpy/-/raw/develop/tutorials/bvpy_tutorial_1_hello_world.ipynb?inline=false)."
]
diff --git a/tutorials/bvpy_tutorial_2_domains.ipynb b/tutorials/bvpy_tutorial_2_domains.ipynb
index f41408cf14cd42e7e98a749ccbdbfd7800eea682..242f4b23e587fef4839cdffe2c4ac9a3799fd312 100644
--- a/tutorials/bvpy_tutorial_2_domains.ipynb
+++ b/tutorials/bvpy_tutorial_2_domains.ipynb
@@ -6,17 +6,20 @@
"source": [
"# Example of Domain's Primitives\n",
"\n",
- "---\n",
"In this tutorial, we will explore in particular the `bvpy.domains` module. The goal is to get familiar with the concept of integration domain and in particular with its implementation in the **Bvpy** library.\n",
"\n",
- "---\n",
"\n",
"**Covered topics:**\n",
- "* Basic operations on domains: instanciation, `.info()`, `.discretize()` and `set_cell_size()` methods.\n",
- "* Quick domain visualization: `plot()` function from the `bvpy.utils.visu` sub-module.\n",
- "* Basic geometrical domains overview: `Rectangle()`, `Disk()` and other primitives.\n",
- "* Constructive Solid Geometry (*CSG*) manipulation of geometrical primitives.\n",
- "* Generation of domains from existing files: `CustomDomain` and `CustomPolygonalDomain` classes.\n",
+ "\n",
+ "- Basic operations on domains: instanciation, `.info()`, `.discretize()` and `set_cell_size()` methods.\n",
+ "\n",
+ "- Quick domain visualization: `plot()` function from the `bvpy.utils.visu` sub-module.\n",
+ "\n",
+ "- Basic geometrical domains overview: `Rectangle()`, `Disk()` and other primitives.\n",
+ "\n",
+ "- Constructive Solid Geometry (*CSG*) manipulation of geometrical primitives.\n",
+ "\n",
+ "- Generation of domains from existing files: `CustomDomain` and `CustomPolygonalDomain` classes.\n",
"\n",
"\n",
"Download the notebook: [bvpy_tutorial_2](https://gitlab.inria.fr/mosaic/publications/bvpy/-/raw/develop/tutorials/bvpy_tutorial_2_domains.ipynb?inline=false)."
@@ -364,7 +367,7 @@
"source": [
"from bvpy.domains import CustomDomain\n",
"\n",
- "path = '../data/meristem_guillaume.ply'\n",
+ "path = '../data/example_meristem.ply'\n",
"\n",
"cd = CustomDomain.read(path)\n",
"\n",
diff --git a/tutorials/bvpy_tutorial_3_vforms.ipynb b/tutorials/bvpy_tutorial_3_vforms.ipynb
index 2c5e22379e2a9ce01691fecc9e9bb6ebdfeaa10d..6b2fa36a066426f63790e8541e827b48c6da264d 100644
--- a/tutorials/bvpy_tutorial_3_vforms.ipynb
+++ b/tutorials/bvpy_tutorial_3_vforms.ipynb
@@ -6,14 +6,15 @@
"source": [
"# Variation forms\n",
"\n",
- "---\n",
+ "\n",
"This this tutorial, we will look a bit more into details of the `bvpy.vform` module and the corresponding *Vform* classes. The goal is to discover the main methods and attributes of such classes and to understand how to create it own.\n",
"\n",
- "---\n",
"\n",
"**Covered topics:**\n",
- "* Basic `vform` manipulations: instanciation, `.info()` and `.set_parameters()` methods.\n",
- "* Implementation of *de novo* `vform`: Definition of the variational formulation of a differential equation, instanciation of mandatory `@staticmethods`: `.construct_form()` and `.set_expression`.\n",
+ "\n",
+ "- Basic `vform` manipulations: instanciation, `.info()` and `.set_parameters()` methods.\n",
+ "\n",
+ "- Implementation of *de novo* `vform`: Definition of the variational formulation of a differential equation, instanciation of mandatory `@staticmethods`: `.construct_form()` and `.set_expression`.\n",
"\n",
"Download the notebook: [bvpy_tutorial_3](https://gitlab.inria.fr/mosaic/publications/bvpy/-/raw/develop/tutorials/bvpy_tutorial_3_vforms.ipynb?inline=false)."
]
@@ -317,13 +318,6 @@
"plot(prblm.solution)\n",
"save(prblm.solution, '../data/tutorial_results/tuto_3_result_1.xdmf')"
]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": []
}
],
"metadata": {
@@ -342,7 +336,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.7.9"
+ "version": "3.7.7"
},
"latex_envs": {
"LaTeX_envs_menu_present": true,
@@ -374,6 +368,35 @@
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
+ },
+ "varInspector": {
+ "cols": {
+ "lenName": 16,
+ "lenType": 16,
+ "lenVar": 40
+ },
+ "kernels_config": {
+ "python": {
+ "delete_cmd_postfix": "",
+ "delete_cmd_prefix": "del ",
+ "library": "var_list.py",
+ "varRefreshCmd": "print(var_dic_list())"
+ },
+ "r": {
+ "delete_cmd_postfix": ") ",
+ "delete_cmd_prefix": "rm(",
+ "library": "var_list.r",
+ "varRefreshCmd": "cat(var_dic_list()) "
+ }
+ },
+ "types_to_exclude": [
+ "module",
+ "function",
+ "builtin_function_or_method",
+ "instance",
+ "_Feature"
+ ],
+ "window_display": false
}
},
"nbformat": 4,
diff --git a/tutorials/bvpy_tutorial_4_bnd_cond.ipynb b/tutorials/bvpy_tutorial_4_bnd_cond.ipynb
new file mode 100644
index 0000000000000000000000000000000000000000..d3684da1e62d2edc1cfeb25aad192563295ac47a
--- /dev/null
+++ b/tutorials/bvpy_tutorial_4_bnd_cond.ipynb
@@ -0,0 +1,244 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Boundary conditions\n",
+ "\n",
+ "\n",
+ "This this tutorial, we will look a bit more into details of the `bvpy.boundary_conditions` module. The goal is to discover what kind of boundary conditions can be implemented within a *BVP* or *IBVP*.\n",
+ "\n",
+ "\n",
+ "**Covered topics:**\n",
+ "\n",
+ "- Description and instantiation of the various available types of boundary conditions: `ConstantDirichlet`, `VariableDirichlet`, `ConstantNeumann` ...\n",
+ "\n",
+ "- Use of the `dirichlet()` and `neumann()` functions.\n",
+ "\n",
+ "- Basic manipulations: combining several bc into one.\n",
+ "\n",
+ "- Basic presentation of the `SquarePeriodicBoundary` class.\n",
+ "\n",
+ "- Example of visualization of boundary conditions when a bvp is defined.\n",
+ "\n",
+ "Download the notebook: [bvpy_tutorial_4](https://gitlab.inria.fr/mosaic/publications/bvpy/-/raw/develop/tutorials/bvpy_tutorial_4_bnd_cond.ipynb?inline=false)."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## General manipulation\n",
+ "The two main types of boundary conditions (*i.e.* Dirichlet's and Neumann's boundary conditions) are available within the library."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Each can be instanciated with a dedicated function `dirichlet()` (resp. `neumann()`) from the corresponding sub-modules within the `bvpy.boundary_conditions` module. Each of these function has two mandatory arguments: `val` and `boundary`, the latter defines the region of the border constrained by the boundary condition and the former corresponds to the actual value one wants to impose on it."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from bvpy.boundary_conditions import dirichlet, neumann\n",
+ "\n",
+ "diri_1 = dirichlet(1, \"all\")\n",
+ "neum_1 = neumann(val=[0, 0, 0], boundary=\"all\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "- The `val` argument can either be a constant (scalar, vector or tensor depending on the considered problem) or be defined by an expression (string encoding for a function of the position). Depending on the case, the `dirichlet` (resp. `neumann`) function will either implement a `ConstantDirichlet` or `VariableDirichelt` class (resp. `ConstantNeumann` or `VariableNeumann`)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "diri_2 = dirichlet(val=\"x*x\", boundary=\"all\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "- The `boundary` argument can accept string expression to define a sub-domain of the border. As shown above, the keyword `\"all\"` means naturally that the condition is applied to the entire border. The keyword `\"near(expression, value, precision)\"` can be a powerful tool to select a border sub-domain:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "neum_2 = neumann(0, boundary=\"near(x, 0)\")\n",
+ "diri_3 = dirichlet(val=[1, 0, 0], \n",
+ " boundary=\"near(x*x+y*y, 1, 1e-2)\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Unlike *domains* and *vforms*, boundary conditions do not have a `.info()` method to display properties but can be simply displayed with the general `print()` function:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "for bc in [diri_1, neum_1, diri_2, neum_2, diri_3]:\n",
+ " print(bc)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Different boundary conditions applied to various sub-parts of a domain border can be combined together easily:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "ex = np.array([1, 0])\n",
+ "\n",
+ "neum_left = neumann(-ex, \"near(x,0)\")\n",
+ "neum_right = neumann(+ex, \"near(x,0)\")\n",
+ "\n",
+ "bc_tot = [neum_left, neum_right]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Periodic boundary conditions\n",
+ "The `bvpy.boundary_conditions.periodic` sub-module enables the definition of periodic boundary conditions on a simple rectangular domain."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This is done with the `SquarePeriodicBoundary` class. This class defines a mapping that connects the values near one border to values near another one:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from bvpy.boundary_conditions.periodic import SquarePeriodicBoundary\n",
+ "\n",
+ "pbc = SquarePeriodicBoundary(x=0, y=0, width=1, length=2)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Visualization\n",
+ "when implemented within a *bvp*, boundary conditions can be visualized thanks to the `plot()` function from the `bvpy.utils.visu` sub-module:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from bvpy import BVP\n",
+ "from bvpy.domains import Disk\n",
+ "from bvpy.vforms import PoissonForm\n",
+ "from bvpy.utils.visu import plot\n",
+ "\n",
+ "ring = Disk(radius=2, dim=2, clear=True) - Disk(radius=1, dim=2)\n",
+ "\n",
+ "ring.set_cell_size(.05)\n",
+ "pfrm = PoissonForm()\n",
+ "diri = dirichlet(\"x*x\", \"near(x*x + y*y, 4, 1e-3)\")\n",
+ "\n",
+ "prblm = BVP(domain=ring, vform=pfrm, bc=diri)\n",
+ "\n",
+ "plot(prblm.dirichletCondition[0])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.7.9"
+ },
+ "latex_envs": {
+ "LaTeX_envs_menu_present": true,
+ "autoclose": false,
+ "autocomplete": true,
+ "bibliofile": "biblio.bib",
+ "cite_by": "apalike",
+ "current_citInitial": 1,
+ "eqLabelWithNumbers": true,
+ "eqNumInitial": 1,
+ "hotkeys": {
+ "equation": "Ctrl-E",
+ "itemize": "Ctrl-I"
+ },
+ "labels_anchors": false,
+ "latex_user_defs": false,
+ "report_style_numbering": false,
+ "user_envs_cfg": false
+ },
+ "toc": {
+ "base_numbering": 1,
+ "nav_menu": {},
+ "number_sections": true,
+ "sideBar": true,
+ "skip_h1_title": true,
+ "title_cell": "Table of Contents",
+ "title_sidebar": "Contents",
+ "toc_cell": false,
+ "toc_position": {},
+ "toc_section_display": true,
+ "toc_window_display": true
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/tutorials/bvpy_tutorial_5_reaction_diffusion.ipynb b/tutorials/bvpy_tutorial_5_reaction_diffusion.ipynb
index 035af31882e70ac9b0b7776e2a4ae4999061ec22..5c15d1a0137c713764b32bcfb0bd616d089d9e51 100644
--- a/tutorials/bvpy_tutorial_5_reaction_diffusion.ipynb
+++ b/tutorials/bvpy_tutorial_5_reaction_diffusion.ipynb
@@ -6,7 +6,6 @@
"source": [
"# Reaction-diffusion systems\n",
"\n",
- "---\n",
"This tutorial tackles a classic and yet complex example of *bvp* highly influencial in mathematical biology: Reaction-diffusion systems. These encompases any *PDE* system featuring a Laplacian (the diffusion term) and a source (the reaction term), fonction of the unknown field(s). Their general form reads:\n",
"$$\n",
"\\partial_t\\phi = D\\Delta\\phi + f(\\phi)\n",
@@ -15,12 +14,14 @@
"\n",
"Through this tutorial we want to show how **bvpy** can be used to simulate such equations. In particular we are going to implement two classic reaction-diffusion system: A wave-front propagation and a Turing pattern.\n",
"\n",
- "---\n",
"\n",
"**Covered topics:**\n",
- "* The `TransportForm` an `CoupledTransportForm` classes from the `bvpy.vforms` module.\n",
- "* Basic use of the `ibvp` class to implement initial-boundary-value problems.\n",
- "* Basic use of the `SolutionExplorer` class from the `bvpy.utils.post_processing` sub-module to handle simulation results.\n",
+ "\n",
+ "- The `TransportForm` an `CoupledTransportForm` classes from the `bvpy.vforms` module.\n",
+ "\n",
+ "- Basic use of the `ibvp` class to implement initial-boundary-value problems.\n",
+ "\n",
+ "- Basic use of the `SolutionExplorer` class from the `bvpy.utils.post_processing` sub-module to handle simulation results.\n",
"\n",
"\n",
"\n",
@@ -66,7 +67,7 @@
"source": [
"from bvpy.domains import Rectangle\n",
"\n",
- "domain = Rectangle(length=1, width=.2, cell_size=0.01, dim=2, clear=True)"
+ "domain = Rectangle(length=1, width=.2, cell_size=0.02, dim=2, clear=True)"
]
},
{
@@ -121,7 +122,7 @@
"source": [
"from bvpy.utils.pre_processing import create_expression\n",
"\n",
- "init = create_expression(\".5*(1+tanh(-x/.01))\", degree=4)"
+ "init = create_expression(\"1+tanh(-x/.1)\", degree=4)"
]
},
{
@@ -138,17 +139,16 @@
"outputs": [],
"source": [
"from bvpy import IBVP\n",
- "from bvpy.solvers.time_integration import ImplicitEuler\n",
"\n",
- "wave_propagation = IBVP(domain, reaction_diffusion, bc=fixed_boundary_values,\n",
- " scheme=ImplicitEuler, initial_state=init)"
+ "wave_propagation = IBVP(domain, reaction_diffusion, bc=fixed_boundary_values, initial_state=init)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "### Time integration"
+ "### Time integration\n",
+ "Once the problem is set, we can integrate it over a time intervalle $\\Delta t = [t_{min}, t_{max}]$ with a time resolution $dt$:"
]
},
{
@@ -168,7 +168,9 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- ">**Note:** For `ibvps` saving the solution with the `save()` function is not required anymore for recording is made *de facto* by the `.integrate()` method."
+ ">**Notes:** \n",
+ "> - For `ibvps` saving the solution with the `save()` function is not required anymore for recording is made *de facto* by the `.integrate()` method.\n",
+ "> - When the `store_steps` argument is set to `True`, all integration steps are recorded, otherwise only the final state is."
]
},
{
@@ -178,6 +180,54 @@
"### Solution visualization"
]
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Visualization of temporal dynamics is not possible in the current version of **Bvpy**, we therefore need an external software to assess the qualitatively the result of the simulation. This can be done, for instance, with the help of the **Paraview** software."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from IPython.display import Image\n",
+ "\n",
+ "Image(filename='../data/tutorial_results/tuto_5_result_1_paraview_snapshot.gif.png')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The animated gif above shows the time evolution of the solution $\\phi\\colon(t,\\mathbf{x})\\to\\phi(t,\\mathbf{x})$ of the `wave_propagation` problem above. The heatmap encodes the solution amplitude: red for 1 and blue for 0."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "More quantitative visual representation can be achieved with tools from our library. For instance, one might be interesteed in ploting the amplitude profiles $\\phi(t_i, \\mathbf{x}(\\xi))$ for various time steps $t_i$ and with $\\xi$ the curvilinear abscisse along a specific curved within the considered domain. For instance, we can plot the $\\phi$ profile at various times along the horizontal axe, *i.e.* the family of curves:\n",
+ "\n",
+ "$$\n",
+ "\\begin{array}{rl}\n",
+ "\\phi_i\\colon & [0, 1] \\mapsto [0, 1] \\\\\n",
+ " & x \\to \\phi(t_i, [x, 0])\n",
+ "\\end{array}\n",
+ "$$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Solution analysis can be done with the help of the `SolutionExplorer` class from the `bvpy.utils.post_processing` sub-module. This class roughly wraps the FEniCS technicity and enable a series of basic manipulations in a intuitive way.\n",
+ "\n",
+ "One of its useful method is the `.geometric_filter()` one. from a simple geometric rule on the domain (*e.g.* \"x>=0\" ) it returns an array of the solution values on all the vertices contained within the corresponding sub-domain. For instance, here below, the geometric filter returns the solution on all vertices on the line \"y=0\". The `sort=\"x\"` argument insures that the list is sorted by increasing x value."
+ ]
+ },
{
"cell_type": "code",
"execution_count": null,
@@ -190,7 +240,15 @@
"for concentration in wave_propagation.solution_steps.values():\n",
" concentration_over_time.append(SolutionExplorer(concentration).geometric_filter(axe=\"y\",\n",
" threshold=0,\n",
- " comparator=\"==\"))"
+ " comparator=\"==\",\n",
+ " sort=\"x\"))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Once this projection over the abscissae axe is done for each time step, one can plot the resulting list of arrays:"
]
},
{
@@ -214,12 +272,46 @@
]
},
{
- "cell_type": "code",
- "execution_count": null,
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Turing patterns\n",
+ "\n",
+ "Let's now try to implement another iconic example of *ibvp* in mathematical biology: Turing reaction-diffusion systems."
+ ]
+ },
+ {
+ "cell_type": "markdown",
"metadata": {},
- "outputs": [],
"source": [
- ".5*(1+np.tanh(0))"
+ "Such system are usually described as a coupled set of two *PDEs* depicting the spatio-temporal dynamics of two scalar fields. Their general form reads:\n",
+ "$$\n",
+ "\\begin{cases}\n",
+ "\\partial_t a = D_a \\Delta a + r_a(a, b) \\\\\n",
+ "\\partial_t b = D_b \\Delta b + r_b(a, b) \\\\\n",
+ "\\end{cases}\n",
+ "$$\n",
+ "where the *reaction terms* $r_a(a,b)$ and $r_b(a,b)$ are usually highly non-linear smooth functions.\n",
+ "\n",
+ "\n",
+ "In chemistry, biochemistry and developmental biology such systems can formalize chemical componds diffusing and reacting with each other, typically in a catalytic manner.\n",
+ "\n",
+ "In the present example, we are considering one specific case of Turing system: The **Lengyel-Epstein model** [(Lengyel & Epstein, Science (1991))](https://dx.doi.org/10.1126/science.251.4994.650) which has been recently used to investigate the zebra pattern formation [(Jeong *et al*, Statistical Mechanics and its Applications (2017))](https://dx.doi.org/10.1016/j.physa.2017.02.014).\n",
+ "\n",
+ "The particularity of the **Lengyel-Epstein model** is to use very specific forms for the reaction terms:\n",
+ "$$\n",
+ "r_a(a,b)=k_a b\\Big(1-\\frac{a}{1+b^2}\\Big) \\quad\\quad \\text{and} \\quad\\quad r_b(a,b) = k_b -b -\\frac{4a}{1+b^2}.\n",
+ "\\label{eq:LE_model_source_terms}\n",
+ "$$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Domain definition and boundary conditions\n",
+ "\n",
+ "Let's consider a simple square domain:"
]
},
{
@@ -227,13 +319,19 @@
"execution_count": null,
"metadata": {},
"outputs": [],
- "source": []
+ "source": [
+ "from bvpy.domains import Rectangle\n",
+ "\n",
+ "skin_patch = Rectangle(length=10, width=10, cell_size=0.2, dim=2, clear=True)"
+ ]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "## Turing patterns"
+ "But with periodic boundary conditions to ease the pattern formation.\n",
+ "\n",
+ "Such boundary conditions can be implemented thanks to the `SquarePeriodicBoundary` from the `bvpy.boundary_conditions.periodic` sub-module:"
]
},
{
@@ -242,9 +340,23 @@
"metadata": {},
"outputs": [],
"source": [
- "from bvpy.domains import Rectangle\n",
+ "from bvpy.boundary_conditions.periodic import SquarePeriodicBoundary\n",
"\n",
- "d = Rectangle(length=10, width=10, cell_size=0.2, dim=2)"
+ "periodic_bc=SquarePeriodicBoundary(length=10, width=10)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Variational formulation of the Lengyel-Epstein model"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "As demonstrated in the previous section, reaction-diffusion problems can be implemented with the `TransportForm`. But in the present case, we are interested in the system of two reaction-diffusion equation that are coupled to each other. We derived a specific class to deal with such problems: The `CoupledTransportForm` from the `bvpy.vforms.transport` sub-module:"
]
},
{
@@ -255,13 +367,25 @@
"source": [
"from bvpy.vforms import CoupledTransportForm\n",
"\n",
- "vform = CoupledTransportForm()\n",
+ "LE_model = CoupledTransportForm()\n",
+ "LE_model.info()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "From the `.info()` method above, we get that we need to define three things:\n",
+ "- A diffusion coefficient.\n",
+ "- A reaction term.\n",
+ "- A source term.\n",
"\n",
- "k1 = 9\n",
- "k2 = 11\n",
+ "For the reaction terms we will use the functions given in expression ($\\ref{eq:LE_model_source_terms}$) and we will take a null source term.\n",
+ "> **Note:** The difference that is usually made between a *source* and a *reaction* term is that the former is either constant or position dependent on the considered domain whereas the latter is explicitly a function of the unkown field, *i.e.* $s=s(\\mathbf{x})$ and $r=r(a,b)$.\n",
"\n",
- "vform.add_species('A', 1, lambda a, b: k1*(b-(a*b)/(1+b*b)))\n",
- "vform.add_species('B', 0.02, lambda a, b: k2-b-(4*a*b)/(1+b*b))"
+ "The particularity of the `CoupledTransportForm` is that it features a `.add_species()` method that enables to add as much equations (and the corresponding unknown fields) as desired. The arguments of this methods are:\n",
+ "- The name of the unknown.\n",
+ "- All the coefficients (*i.e.* diffusion coefficient, soure and reaction terms) of the corresponding equations that need to be set."
]
},
{
@@ -270,9 +394,28 @@
"metadata": {},
"outputs": [],
"source": [
- "from bvpy.boundary_conditions.periodic import SquarePeriodicBoundary\n",
+ "Da, Db = 1, .02\n",
+ "ka, kb = 9, 11\n",
"\n",
- "periodic_bc=SquarePeriodicBoundary(length=10, width=10)"
+ "LE_model.add_species('a', Da, lambda a, b: ka*(b-(a*b)/(1+b*b)))\n",
+ "LE_model.add_species('b', Db, lambda a, b: kb-b-(4*a*b)/(1+b*b))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "> **Notes:** \n",
+ "> - As shown above, we can pass any function that we want to define the required coefficients.\n",
+ "> - The source term is set to 0 by default, see method documentation."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Initial conditions\n",
+ "We will start here from two random distributions $a_0(\\mathbf{x})$ and $b_0(\\mathbf{x})$ for the unknown fields."
]
},
{
@@ -285,12 +428,26 @@
"from bvpy.utils.pre_processing import create_expression\n",
"\n",
"np.random.seed(1093)\n",
- "d.discretize()\n",
- "random = np.random.uniform(low=-1, high=1, size=d.mesh.num_entities(2))\n",
- "state = [[1+0.04*k1**2+0.1*r,\n",
- " 0.2*k2+0.1*r] for r in random]\n",
+ "skin_patch.discretize()\n",
+ "random = np.random.uniform(low=-1, high=1, size=skin_patch.mesh.num_entities(2))\n",
"\n",
- "init = create_expression(state)"
+ "random_pattern = [[1+0.04*ka**2+0.1*r, 0.2*kb+0.1*r] for r in random]\n",
+ "\n",
+ "initial_pattern = create_expression(random_pattern)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "> **Note:** to generate the random pattern we need a grid of points. These points correspond to the vertices of the meshed domain. But at this stage, the domain is not meshed yet. This meshing procedure is performed by the `.discretize()` method."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Problem instanciation and integration"
]
},
{
@@ -302,11 +459,7 @@
"from bvpy.ibvp import IBVP\n",
"from bvpy.solvers.time_integration import ImplicitEuler\n",
"\n",
- "ibvp = IBVP(domain=d,\n",
- " vform=vform,\n",
- " bc=periodic_bc,\n",
- " scheme=ImplicitEuler,\n",
- " initial_state=init)"
+ "turing_system = IBVP(skin_patch, LE_model, periodic_bc, initial_pattern)"
]
},
{
@@ -319,10 +472,66 @@
"t_max = 9\n",
"dt = 0.1\n",
"\n",
- "ibvp.integrate(t_min, t_max, dt, '../data/tutorial_results/tuto_5_result_2.xdmf',\n",
- " linear_solver='mumps',\n",
- " absolute_tolerance=1e-10,\n",
- " relative_tolerance=1e-10)"
+ "save_path = '../data/tutorial_results/tuto_5_result_2.xdmf'\n",
+ "\n",
+ "turing_system.integrate(t_min, t_max, dt, save_path)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "> **Note:** With *ibvps* no need to call the `save()` function from the `bvpy.utils.io` sub-module for the `.integrate()` method can save the results directly."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Results visualization and analysis\n",
+ "Let's have a look at the final patterns."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from bvpy.utils.visu import plot\n",
+ "final_pattern_a = turing_system.solution.sub(0)\n",
+ "final_pattern_b = turing_system.solution.sub(1)\n",
+ "\n",
+ "plot(final_pattern_a)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "plot(final_pattern_b, colorscale=\"viridis\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's have a look at the whole dynamics, recorded as a `gif` within **Paraview**:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from IPython.display import Image\n",
+ "\n",
+ "Image(filename='../data/tutorial_results/tuto_5_result_2_paraview_snapshot.gif.png')\n",
+ "#from IPython.display import HTML\n",
+ "#HTML('<img src=\"../data/tutorial_results/tuto_5_result_2_paraview_snapshot.gif\">')"
]
}
],
@@ -342,7 +551,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.7.9"
+ "version": "3.7.7"
},
"latex_envs": {
"LaTeX_envs_menu_present": true,
@@ -374,6 +583,35 @@
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
+ },
+ "varInspector": {
+ "cols": {
+ "lenName": 16,
+ "lenType": 16,
+ "lenVar": 40
+ },
+ "kernels_config": {
+ "python": {
+ "delete_cmd_postfix": "",
+ "delete_cmd_prefix": "del ",
+ "library": "var_list.py",
+ "varRefreshCmd": "print(var_dic_list())"
+ },
+ "r": {
+ "delete_cmd_postfix": ") ",
+ "delete_cmd_prefix": "rm(",
+ "library": "var_list.r",
+ "varRefreshCmd": "cat(var_dic_list()) "
+ }
+ },
+ "types_to_exclude": [
+ "module",
+ "function",
+ "builtin_function_or_method",
+ "instance",
+ "_Feature"
+ ],
+ "window_display": false
}
},
"nbformat": 4,
diff --git a/tutorials/bvpy_tutorial_4_linear_elasticity.ipynb b/tutorials/bvpy_tutorial_6_linear_elasticity.ipynb
similarity index 97%
rename from tutorials/bvpy_tutorial_4_linear_elasticity.ipynb
rename to tutorials/bvpy_tutorial_6_linear_elasticity.ipynb
index 8dec422eb4d9a6ba1bab598b4e0d75e1a06791b2..49014e520de4b003a474e37d1d644684678d8d19 100644
--- a/tutorials/bvpy_tutorial_4_linear_elasticity.ipynb
+++ b/tutorials/bvpy_tutorial_6_linear_elasticity.ipynb
@@ -6,17 +6,22 @@
"source": [
"# Linear Elasticity\n",
"\n",
- "---\n",
+ "\n",
"This tutorial covers some basic example of linear elastic problems and their corresponding implementation within the **Bvpy** library. We will start, in the first part with some basic introduction to the theory of linear continuum mechanics. In a second part, we will how to implement 2D in-plane mechanical equilibria of continuous structures. In a third part, we will see how this can be extended to study equilibria of 2D structures bent in 3D.\n",
"\n",
- "---\n",
"\n",
"**Covered topics:**\n",
- "* Data visualization: `plot()` and `set_renderer()` from `bvpy.utils.visu`.\n",
- "* Data importation and exportation: `CustomDomain.read()`, `CustomPolygonalDomain.read()` and `bvpy.utils.io.save()`\n",
- "* Linear elasticity variational form manipulation: `LinearElasticVform()`, `set_parameters()`, `info()`, `stress()`.\n",
- "* Geometrical domain construction (CSG).\n",
- "* Boundary conditions definitions and combinaison: `NormalDirichlet` and `NormalNeumann`, `bvpy.boundary_condition.dirichlet.dirichlet()`\n",
+ "\n",
+ "- Data visualization: `plot()` and `set_renderer()` from `bvpy.utils.visu`.\n",
+ "\n",
+ "- Data importation and exportation: `CustomDomain.read()`, `CustomPolygonalDomain.read()` and `bvpy.utils.io.save()`\n",
+ "\n",
+ "- Linear elasticity variational form manipulation: `LinearElasticVform()`, `set_parameters()`, `info()`, `stress()`.\n",
+ "\n",
+ "- Geometrical domain construction (CSG).\n",
+ "\n",
+ "- Boundary conditions definitions and combinaison: `NormalDirichlet` and `NormalNeumann`, `bvpy.boundary_condition.dirichlet.dirichlet()`\n",
+ "\n",
"\n",
"\n",
"Download the notebook: [bvpy_tutorial_4](https://gitlab.inria.fr/mosaic/publications/bvpy/-/raw/develop/tutorials/bvpy_tutorial_4_linear_elasticity.ipynb?inline=false)."
@@ -24,18 +29,14 @@
},
{
"cell_type": "markdown",
- "metadata": {
- "heading_collapsed": true
- },
+ "metadata": {},
"source": [
"## General introduction"
]
},
{
"cell_type": "markdown",
- "metadata": {
- "hidden": true
- },
+ "metadata": {},
"source": [
"\n",
"Let's consider a $n$ dimensional (with $n \\in \\{2,3\\}$) smooth differential manifold representing a continuous piece of material. At rest (*i.e.* with no mechanical force applied on it}), this manifold is geometrically described by a *resting configuration* noted $\\Omega$.\n",
@@ -139,7 +140,7 @@
"source": [
"from bvpy.vforms import LinearElasticForm\n",
"\n",
- "elastic_response = LinearElasticForm(young= 1000, poisson=.5, source=[0, 0, 0])"
+ "elastic_response = LinearElasticForm(young= 1000, poisson=.5, source=[0, 0, 0], plane_stress=True)"
]
},
{
@@ -354,7 +355,7 @@
"metadata": {},
"outputs": [],
"source": [
- "elastic_response = LinearElasticForm(young= 1000, poisson=.3, source=[0, 0])"
+ "elastic_response = LinearElasticForm(young= 1000, poisson=.5, source=[0, 0], plane_stress=True)"
]
},
{
@@ -822,7 +823,7 @@
"metadata": {},
"outputs": [],
"source": [
- "elastic = LinearElasticForm(young= 1000, poisson=.5, source=pressure_force)"
+ "elastic = LinearElasticForm(young= 1000, poisson=.5, source=pressure_force, plane_stress=True)"
]
},
{
@@ -849,7 +850,7 @@
"source": [
"fixed_center = [dirichlet(0, boundary='near(x, 0)', subspace=0),\n",
" dirichlet(0, boundary='near(y, 0)', subspace=1),\n",
- " dirichlet(0, boundary='near(z, 0)', subspace=2),]"
+ " dirichlet(0, boundary='near(z, 0)', subspace=2)]"
]
},
{
@@ -925,7 +926,7 @@
"pressure = 1000\n",
"pressure_force = normal(tissue, scale=pressure)\n",
"\n",
- "elastic = LinearElasticForm(young= 1000, poisson=.5, source=pressure_force)"
+ "elastic = LinearElasticForm(young= 1000, poisson=.5, source=pressure_force, plane_stress=True)"
]
},
{
@@ -974,6 +975,13 @@
"\n",
"plot(displacement, size=1000, norm=True)"
]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
}
],
"metadata": {
diff --git a/tutorials/bvpy_tutorial_0_general_introduction_TOFINISH.ipynb b/tutorials/bvpy_tutorial_general_introduction_TOFINISH.ipynb
similarity index 100%
rename from tutorials/bvpy_tutorial_0_general_introduction_TOFINISH.ipynb
rename to tutorials/bvpy_tutorial_general_introduction_TOFINISH.ipynb