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李华,李笑牛.一种全四边形网格生成方法——改进模板法[J].计算力学学报,2002,19(1):16~
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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-improvedpattern module''''s method
  
DOI:10.7511/jslx20021005
中文关键词:  网格自动剖分 全四边形单元 模板法 有限元 网格生成算法
英文关键词:automatic mesh generation,quadrilateral finite elements,pattern module's method
基金项目: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
李华  李笑牛
[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
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中文摘要:
      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,并可以提高单元的密度要求自动计算亲单元每条边上的结点数,有效地对局部实施加密处理。
英文摘要:
      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.
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