应用Plemelj积分生成二维通道内的正交网格

首先选用的解析函数由速度模以及流向角组成，在已知通道边界上的流向角时，求得通道边界上的速度。由势函数和流函数的定义，求出壁面上的势函数及流函数。其次将解析函数用势函数表示，运用Ｐｌｅｍｅｌｊ边界积分关系的内点公式，求得通道内任意点的势函数和流函数。由此，从等势线和等流函数值线，可形成流体力学数值计算用的正交网格。文中给出两个算例，该方法无需迭代。

The Orthogonal Grid Generation in a 2-D Channel by Using Plemelj's Integral Formula

A new method is reviewed to solve the velocity potential and the stream function in a two-dimensional incompressible inviscid channel flow by using Plemelj's boundary integral formula. Firstly, the analytic function consists of the velocities and the flow angles around the channel boundary. If the angles are known, the velocities can be solved with Plemelj's boundary integral formula. Secondly the velocity potential and stream functions around the boundary are obtained by numerical deviation approaching according to the relationship between the velocities and velocity potential and stream function. Finally the analytic function consists of velocity potential and stream function whose values at any inner point should be calculated by Plemelj's boundary integral formula. The isograms of the velocity potentials and stream functions are used to form the orthogonal computational grids. The advantage in this method is free from using iteration.