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Coarsening Strategies for Unstructured Multigrid Techniques with Application to Anisotropic Problems

Morano, E. and Mavriplis, D. J. and Venkatakrishnan, V. (1998) Coarsening Strategies for Unstructured Multigrid Techniques with Application to Anisotropic Problems. SIAM Journal on Scientific Computing, 20 (2). pp. 393-418. ISSN 1064-8275.

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Over the years, multigrid has been demonstrated as an efficient technique for solving inviscid flow problems. However, for viscous flows, convergence rates often degrade. This is generally due to the required use of stretched meshes (i.e., the aspect ratio AR = Δy/Δx < < 1) in order to capture the boundary layer near the body. Usual techniques for generating a sequence of grids that produce proper convergence rates on isotropic meshes are not adequate for stretched meshes. This work focuses on the solution of Laplace's equation, discretized through a Galerkin finite-element formulation on unstructured stretched triangular meshes. A coarsening strategy is proposed and results are discussed.

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Additional Information:©1998 Society for Industrial and Applied Mathematics. Received by the editors June 12, 1995; accepted for publication (in revised form) January 12, 1997; published electronically September 10, 1998. This research was supported under NASA contract NAS1-19480 while the authors were in residence at ICASE.
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Subject Keywords:multigrid method; unstructured meshes; semicoarsening; anisotropic problems
Classification Code:AMS Subject Classifications 65M55, 65M60, 76M10
Record Number:CaltechAUTHORS:20090925-130031605
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:16063
Deposited By: George Porter
Deposited On:07 Oct 2009 18:30
Last Modified:26 Dec 2012 11:25

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