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Tetrahedrons orientation?
Posted 28 lug 2020, 10:50 GMT-4 CAD Import & LiveLink™ Products for CAD, Mesh Version 5.5 0 Replies
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Dear all,
Playing with my mphtxt
exporter, I am asking myself if I came to the right conclusion about the orientation of tetrahedrons.
In order to avoid the "Two elements connect to the same side of the shared element face." error, I started computing volumes (determinants), since the COMSOL_MeshImportExportGuide.pdf
file, isn't so stratightforward to me as to define an orientation.
Basically, are all tetrahedrons required to have the same determinant sign?
By that, I mean this: given a tetrahedron t = {v0, v1, v3, v4}
, I need all tetrahedrons in the mesh to abide by the sign of
det(t) = Det[{v0 - v1, v0 - v2, v0 - v3}]
,
with v_i = {p0_i, p1_i, p2_i, p3_i}
, pj_i
being a point in the 3-dimensional euclidean space. Hence, in case signs differ I will just swap two vertices in a tet and COMSOL will be happy.
Sorry for being so pedantic, I am trying to figure which constraints I must satisfy in order to import meshes into COMSOL.
Thanks for your help! Franco
PS. For reference I am attaching an example mesh and a Mathematica output.
Attachments:
Hello Franco Milicchio
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