一种全四边形网格生成方法——改进模板法

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。

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

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.