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A flow-aligning algorithm for convection-dominated problems

✍ Scribed by Traian Iliescu

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
156 KB
Volume
46
Category
Article
ISSN
0029-5981

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✦ Synopsis

This paper proposes and studies an algorithm for aligning a triangulation with a given convection ÿeld. Approximate solutions of convection-dominated problems on ow-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 ÿnite element solver, does not change the number of meshpoints, and can improve solution quality quite dramatically. This improvement in solution quality on the ow-aligned triangulation is illustrated for both the usual Galerkin method and the streamline-di usion method.

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