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A flow‐aligning algorithm for convection‐dominated problems
Author(s) -
Iliescu Traian
Publication year - 1999
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19991110)46:7<993::aid-nme733>3.0.co;2-f
Subject(s) - polygon mesh , triangulation , solver , finite element method , flow (mathematics) , galerkin method , algorithm , convection , convection–diffusion equation , computer science , discontinuous galerkin method , mathematics , mathematical optimization , geometry , mechanics , mathematical analysis , physics , engineering , structural engineering
This paper proposes and studies an algorithm for aligning a triangulation with a given convection field. Approximate solutions of convection‐dominated problems on flow‐aligned meshes typically have sharper internal layers, less over and undershooting and higher accuracy. The algorithm we present can be imported easily into any 2D finite element solver, does not change the number of meshpoints, and can improve solution quality quite dramatically. This improvement in solution quality on the flow‐aligned triangulation is illustrated for both the usual Galerkin method and the streamline‐diffusion method. Copyright © 1999 John Wiley & Sons, Ltd.