Poisson方程网格生成方法的一点改进

An Improvement of the Grid Generation Method Using Poisson Equation

采用通常的Poisson方程的网格生成方法时,在处理x和y两个方向尺度颇不相同的多连通区域问题时,往往会遇到一定的困难。为此,本文发展了一种简单的称之为“缩放”因子的方法,成功地克服了这个困难,生成的网格是令人满意的。该方法等价于网格生成方程采用常系数椭圆型方程来代替Poisson方程。

When the ordinary grid generation method of Poisson equation is used to deal with a domain whose contour is complex and the scales in x and y directions are quite different, some difficulties will be met. A simple techniqne 'Contraction factor', is developed and the difficulty is successfully overcome. The results of grid generation are quite satisfactory. This technique is equivalent to replacing the ordinary Poisson equation by The Constant Coefficient elliptic equation .