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二维有限元网格的局部加密方法
引用本文:黄晓东,杜群贵.二维有限元网格的局部加密方法[J].华南理工大学学报(自然科学版),2004,32(12):56-60.
作者姓名:黄晓东  杜群贵
作者单位:华南理工大学,交通学院,广东,广州,510640;华南理工大学,交通学院,广东,广州,510640
基金项目:广东省“十五”重大科技专项资助项目(2 0 0 2A10 4 0 4 0 10 1)
摘    要:设计了关键点、圆域和矩形域三种有限元网格局部加密方式.在所构造的局部加密嵌入面域内,利用基于Delaunay剖分的动态节点-单元一体化生成算法生成局部加密网格,并将其嵌入原网格,以实现分析对象关键区域有限元网格的局部加密.算例表明,该方法生成的网格质量良好,符合有限元分析要求.

关 键 词:有限元  网格生成  局部加密  Delaunay剖分
文章编号:1000-565X(2004)12-0056-05
修稿时间:2003年12月24

Local Refinement of 2D Finite Element Meshes
Huang Xiao-dong Du Qun-gui.Local Refinement of 2D Finite Element Meshes[J].Journal of South China University of Technology(Natural Science Edition),2004,32(12):56-60.
Authors:Huang Xiao-dong Du Qun-gui
Abstract:Three modes for refining finite element meshes locally are proposed, in which me shes are refined near the key-point, in the circle area or in the rectangle are a. In the embedded regions that are constructed for refined meshes generation, a n algorithm based on Delaunay triangulation is then employed for the generation of graded meshes. In this algorithm, nodes and elements are generated dynamicall y and simultaneously, and the refined meshes generated in the embedded regions a re embedded into the original meshes. As a result, meshes are refined in the key areas. Examples show that the meshes refined by the proposed method are of good quality and can satisfy the requirements of finite element analysis.
Keywords:finite element  mesh generation  local refinement  Delaunay triangulation
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