一种全四边形网格生成方法——改进模板法  

A method for mesh generation of all quadrilateral finite elements—improved pattern module's method

作　　者：李华[1] 李笑牛[2] 程耿东[1] 吴杰[2] 

机构地区：[1]大连理工大学工程力学系,大连116024 [2]吉林大学(南岭校区)力学系,长春130025

出　　处：《计算力学学报》2002年第1期16-19,57,共5页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金 ( 1980 2 0 0 5 );吉林省科委项目( 19980 5 38-0 1);辽宁省科学基金 ( 9910 2 0 0 2 0 1)资助

摘　　要：首先对全四边形单元网格自动剖分算法中的模板法进行了探讨 ,并提出了相应的改进方法。在此基础上提出了一种新的全四边形单元网格自动生成方法。该方法允许在两个方向上存在网格疏密过渡 ,并可以根据单元的密度要求自动计算亲单元每条边上的结点数 。An improved method of generating a graded all quadrilateral mesh in an arbitrary domain has been presented in this paper. The basic strategy of the method is to develop a pattern module for generating a graded all quadrilateral mesh in a parent square. The graded mesh in the parent domain is then mapped to the physical domain. The algorithm of improved pattern module's method is composed of the following three steps:(1) Dividing the discretized region into a number of four sided zones, called super-elements, as geometrical and material variations, then transferring the super-element into a square in parametric space by a transfinite mapping equation; (2) Generating the meshes in the square are according to the requirement of the number of elements; (3) Transferring the mesh in the parametric space into the physical space and smoothing the mesh. Compared with other approaches, the present method has more flexibility and efficiency.

关 键 词：网格自动剖分 全四边形单元 模板法 有限元 网格生成算法 

分 类 号：O302[理学—力学] O241.82