Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
Isotropy Improvement via Vertex Insertion for 2D Triangular Meshes Generated by DistMesh(Practice)
Yukie NagaiKokichi SugiharaHiromasa Suzuki
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2007 Volume 17 Issue 3 Pages 195-217

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Abstract
Expressing the analysis domains with meshes is common in simulations for fluid dynamics and structural mechanics. The times for calculations and precisions depend on the meshes, so suitable meshes are needed. For phenomena without proper directions of changes, isotropic meshes are preferable. Our aim is improving 2-dimensional triangular mesh isotropy for such simulations. We report inserting vertices into and optimizing meshes generated by an algorithm DistMesh proposed by Persson and Strang [18]. Then we verify the improvements with smoothing after optimization comparing with some results for uniform and adaptive meshes respectively, and show the advantages of our proposed method.
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© 2007 The Japan Society for Industrial and Applied Mathematics
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