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Simplex space–time meshes in finite element simulations
Author(s) -
Behr Marek
Publication year - 2008
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1796
Subject(s) - polygon mesh , simplex , finite element method , volume mesh , mesh generation , context (archaeology) , space time , tetrahedron , computer science , spacetime , space (punctuation) , computational science , mathematics , algorithm , mathematical optimization , geometry , physics , engineering , geology , operating system , paleontology , quantum mechanics , chemical engineering , thermodynamics
A straightforward method for generating simplex space–time meshes is presented, allowing arbitrary temporal refinement in selected portions of space–time slabs. The method increases the flexibility of space–time discretizations, even in the absence of dedicated space–time mesh generation tools. The resulting tetrahedral (for 2D problems) and pentatope (for 3D problems) meshes are tested in the context of advection–diffusion equation, and are shown to provide reasonable solutions, while enabling varying time refinement in portions of the domain. Copyright © 2008 John Wiley & Sons, Ltd.