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。 A method of grid density control and generation is proposed, which can generate reasonable grid density distribution in the area according to the curvature of the area boundary, the number of divided cells and the requirements of grid density transition. The Laplace equation is used to represent the grid density distribution function in the area to be divided. The steps of solving the numerical solution of the grid density distribution function are given in detail. The proposed grid density control and generation method can be combined with the regional decomposition method to realize the grid automation and adaptation. The article also gives some examples of grid density control.