全自动四边形有限元网格生成-Ⅱ:网格密度控制

The automatic generation of quadrilateral mesh-Ⅱ:the control of mesh density

提出了一种网格密度控制和生成的方法,可以根据区域边界曲率、划分单元数目以及网格密度过渡要求,在区域上生成合理的网格密度分布。采用Laplace方程表示要划分区域内的网格密度分布函数,详细给出了有限元法求解网格密度分布函数数值解的步骤。提出的网格密度控制和生成方法可以和区域分解法相结合,实现网格划分的自动化和自适应。文章还给出了网格密度控制的一些例子。

The method of the control and generation of mesh density is presented in this paper. The proper distribution of mesh density can be generated in the domain based on the boundary curvature, the element number and the requirement of mesh density transition. The distribution function of the mesh density in the domain is represented with Laplace equation. The procedure of obtaining numerical solution of the density function using FE method is given in detail. The automatic and adaptive mesh genera- tion can be realized using this method with the method of domain division for quadrilateral mesh generation. The examples of the control of the mesh density are also given in the paper.