Automatic coarsening of three dimensional anisotropic unstructured meshes for multigrid applications

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• 作者：Youssef Mesri^a ; ^{youssef.mesri@ifpen.fr} ; Hervé ; Guillard^b ; ^c ; ^{herve.guillard@inria.fr} ; Thierry Coupez^d ; ^{thierry.coupez@mines-paristech.fr}
• 关键词：Mesh generation ; Tetrahedral meshes ; Coarsening ; Anisotropy ; Multigrid algorithms ; CFD ; Boundary layers
• 刊名：Applied Mathematics and Computation
• 出版年：2012
• 期刊代码：7_00963003
• 类别：cp
• 出版时间：1 July, 2012
• 卷：218
• 期：21
• 页码：10500-10519
• 文件大小：2241 K

摘要

This paper describes an algorithm designed for the automatic coarsening of three-dimensional unstructured simplicial meshes. This algorithm can handle very anisotropic meshes like the ones typically used to capture the boundary layers in CFD with Low Reynolds turbulence modeling that can have aspect ratio as high as 10⁴. It is based on the concept of mesh generation governed by metrics and on the use of a natural metric mapping the initial (fine) mesh into an equilateral one. The paper discusses and compares several ways to define node based metric from element based metric. Then the semi-coarsening algorithm is described. Several application examples are presented, including a full three-dimensional complex model of an aircraft with extremely high anisotropy.