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

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)))

q:(2, 9116), me:(3, 17638), vols:(17638,)

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)

q3:(3, 14120), me3:(4, 67653), vols3:(67653,), G3:(67653, 3, 4)
q2:(3, 6471), me2:(3, 12950), vols2:(12950,), G2:(12950, 3, 3)
E=0.000000e+00