Generation of tetrahedral meshes with multiple elements through thin sections

Generation of tetrahedral meshes with multiple elements through thin sections
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DOI:
10.1007/s003660050013
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发表时间:
1999-01-01
影响因子:
8.7
通讯作者:
Shephard, MS
Shephard, MS
中科院分区:
工程技术2区
文献类型:
--
作者:
Garimella, RV;Shephard, MS

文献摘要

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在薄截面上具有强梯度的域中的有限元模拟通常需要在这些截面上具有多个元素的网格,以准确地捕获解决方案。大多数已发布的各向同性网格生成技术并不适合在一般的、任意复杂的、非流形域中创建此类网格。在本文中,描述了一种自动方法,用于识别域的薄片和初始网格的各向异性细化,以通过薄片引入用户请求的单元数量。该方法使用局部网格修改操作来实现沿厚度方向和垂直于厚度方向的边缘的细化和随后的重新对齐。给出了许多通用模型的结果来说明网格生成器的功能。
Finite element simulations in domains with strong gradients across thin sections typically require meshes with multiple elements through these section to accurately capture the solution. Most of the published techniques for isotropic mesh generation are not suited for the creation of such meshes in general, arbitrarily complex, non-manifold domains. In this paper, an automatic method is described for identification of thin sections of a domain and anisotropic refinement of an initial mesh to introduce a user-requested number of elements through the thin sections. The method uses local mesh modification operation to effect the refinement and subsequent realignment of edges along the thickness direction and perpendicular to it. Results ar presented for a number of general models to illustrate the capability of the mesh generator.