可任意调节的拉普拉斯网格生成方法

A ARBITRARILY ADJUSTABLE LAPLACIAN MESH GENERATION METHOD

提出采用网格调节项来修正拉普拉斯网格生成方法。算例表明，本文的网格生成方法既可以消除拉普拉斯网格有时产生畸变、有时向曲线边界堆聚的缺陷，又可进行局部网格加密或稀疏，从而为数值计算提供一种实用而有效的网格生成方法。

In this paper,a modified Laplacian mesh generation method improved by additional mesh regulation terms is presented.It is shown in the numerical examples that,the demerits happened in the original Laplacian mesh generation method that either the mesh would be malformed sometimes or be concentrated to the curved boundary,can be eliminated by the method proposed here in this paper,and can make the mesh condensed or sparse as well,in the light of specific conditions.Therefore,the method proposed is practical and efficient for numerical computations.