Finite element mesh generation and adaptive meshing
Finite element mesh generation and adaptive meshing
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DOI：
10.1002/pse.135
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发表时间：
2002-10
期刊：
影响因子：
--
通讯作者：
S. Lo
中科院分区：
文献类型：
--
作者：
S. Lo
本文详细介绍了近年来平面、曲面和体网格生成技术的发展。重点将放在非结构化网格的复杂的工业应用和自适应细化有限元分析的目的。在平面域和曲面上，将使用三角形和四边形单元，而对于三维结构，必须生成四面体和六面体单元。最近的进展表明，曲面网格生成已经相当成熟，可以或多或少地以自动的方式生成与曲面曲率密切相关的单元。随着边界恢复过程越来越强大和高效，通过Delaunay三角剖分等技术将复杂实体离散为四面体成为工业应用中的常规工作。然而，在一个强大的和有效的方式将一个一般的对象分解成六面体元素仍然是网格生成社区的研究人员的一个挑战。对于需要沿沿着某些方向的细长单元的问题，也已经提出了在2D和3D域上生成各向异性网格的算法。为感兴趣的读者提供了一个网格技术最新发展的网站。
This review paper gives a detailed account of the development of mesh generation techniques on planar regions, over curved surfaces and within volumes for the past years. Emphasis will be on the generation of the unstructured meshes for purpose of complex industrial applications and adaptive refinement finite element analysis. Over planar domains and on curved surfaces, triangular and quadrilateral elements will be used, whereas for three-dimensional structures, tetrahedral and hexahedral elements have to be generated. Recent advances indicate that mesh generation on curved surfaces is quite mature now that elements following closely to surface curvatures could be generated more or less in an automatic manner. As the boundary recovery procedure are getting more and more robust and efficient, discretization of complex solid objects into tetrahedra by means of Delaunay triangulation and other techniques becomes routine work in industrial applications. However, the decomposition of a general object into hexahedral elements in a robust and efficient manner remains as a challenge for researchers in the mesh generation community. Algorithms for the generation of anisotropic meshes on 2D and 3D domains have also been proposed for problems where elongated elements along certain directions are required. A web-site for the latest development in meshing techniques is included for the interested readers.