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The fc_meshtools package contains some simplicial meshes given by their vertices array and connectivity array

Project description

http://www.math.univ-paris13.fr/~cuvelier/software/codes/Python/fc-meshtools/pyfc-meshtools_400.png

The fc_meshtools Python package contains some simplicial meshes given by their vertices array q and connectivity array me. Theses meshes can be easily used in other Python codes for debugging or testing purpose.

Introduction:

A simplicial mesh is given by its vertices array q and its connectivity array me. For demonstration purpose, some simplicial meshes are given in this package and stored in the fc_meshtools/data directory. They can be load by using the functions getMesh2D, getMesh3D or getMesh3Ds of the fc_meshtools.simplicial module. Here are the kind of simplicial meshes present in this package:

  • a triangular mesh in dimension 2, made with 2-simplices (ie. triangles),
  • a tetrahedral mesh in dimension 3, made with 3-simplices (ie. tetrahedron),
  • a triangular mesh in dimension 3 (surface mesh), made with 2-simplices,
  • a line mesh in dimension 2 or 3 made with 1-simplices (ie. lines).

One can go to the dedicated web page fc-meshtools for more informations.

Installation:

The fc_meshtools Python package is available from the Python Package Index. so to install/upgrade simply type

pip install fc_meshtools

Examples

first example

import fc_meshtools
q,me,toG=fc_meshtools.simplicial.getMesh2D(2)
vols=fc_meshtools.simplicial.Volumes(q,me)
print(' q:%s, me:%s, vols:%s'%(str(q.shape),str(me.shape),str(vols.shape)))

The output of the print command is:

q:(2, 4499), me:(3, 8584), vols:(8584,)

second example

import fc_meshtools,numpy
q3,me3=fc_meshtools.simplicial.getMesh3D(3)[:2]
vols3=fc_meshtools.simplicial.Volumes(q3,me3)
G3=fc_meshtools.simplicial.GradBaCo(q3,me3)
print(' q3:%s, me3:%s, vols3:%s, G3:%s'%(str(q3.shape),str(me3.shape),str(vols3.shape),str(G3.shape)))
q2,me2,toG2=fc_meshtools.simplicial.getMesh3D(2)
vols2=fc_meshtools.simplicial.Volumes(q2,me2)
G2=fc_meshtools.simplicial.GradBaCo(q2,me2)
print(' q2:%s, me2:%s, vols2:%s, G2:%s'%(str(q2.shape),str(me2.shape),str(vols2.shape),str(G2.shape)))
E=numpy.max(numpy.abs(q2-q3[:,toG2]))
print('E=%g'%E)

The output is:

q3:(3, 5168), me3:(4, 22234), vols3:(22234,), G3:(22234, 3, 4)
q2:(3, 3133), me2:(3, 6274), vols2:(6274,), G2:(6274, 3, 3)
E=0

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