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EFFICIENT GENERATION OF ORIENTED MESHES FOR SOLVING CONVECTION–DIFFUSION PROBLEMS
Author(s) -
MADDEN NEIL,
STYNES MARTIN
Publication year - 1997
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(19970215)40:3<565::aid-nme80>3.0.co;2-7
Subject(s) - polygon mesh , volume mesh , mathematics , boundary (topology) , diffusion , convection–diffusion equation , finite element method , computer science , mathematical optimization , algorithm , geometry , mesh generation , mathematical analysis , structural engineering , engineering , physics , thermodynamics
A description of Shishkin meshes for resolving boundary and interior layers is given. It is shown how PLTMG can be used to construct these special oriented meshes with minimal effort. Several types of singularly perturbed convection–diffusion problems are solved on the meshes. These solutions are compared with those obtained on uniform meshes and on meshes adaptively refined by PLTMG; it is seen that Shishkin meshes yield much more accurate solutions with little additional computational effort. © 1997 by John Wiley & Sons, Ltd.