Isotropy Improvement via Vertex Insertion for 2D Triangular Meshes Generated by DistMesh(Practice)

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  • Nagai Yukie
    Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo
  • Sugihara Kokichi
    Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo
  • Suzuki Hiromasa
    Research Center for Advanced Science and Technology, University of Tokyo

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Other Title
  • 頂点追加による2次元DistMeshの等方性向上(実用)
  • 頂点追加による2次元DistMeshの等方性向上
  • チョウテン ツイカ ニ ヨル 2ジゲン DistMesh ノ トウホウセイ コウジョウ

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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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