采用Poisson方程生成曲线网格时源项P、Q选择的研究

Research on the Source Terms P and Q of Poisson Equations for Grid Generation

采用 Poisson方程进行曲线网格生成时 ,如何确定合适的调节因子 P、Q函数是网格生成技术中的一个重要的研究内容。本文提出一种新的构造 P、Q函数的方法 ,该方法直接利用边界网格节点的分布信息来控制区域内部网格节点的分布 ,生成的正交曲线网格令人满意。该方法可应用于河道、湖泊等一类复杂边界的二维流速场的数值模拟中。

This paper is concerned with a new method to determine the source terms P and Q of Poisson equations for grid generation. By using the source terms presented in this paper, a satisfactory grid can be obtained. The interior grid distribution is controlled by prior selection of the grid point distribution along the boundaries of the region, and the orthogonality is satisfied. This grid generation technique will be widely used in the numerical solution of 2 D flow in rivers, lakes, and the shallow water regions.