一种用边界元方法求解二维不可压缩粘性流动的方法

A Method for solving 2—D Incompressible Viscous Flow by BEM

本文用边界元方法求解了二维不可压缩粘性流动的涡量——速度方程,利用求解区域边界上的速度法向导数和速度值直接得到了涡量的边界条件,克服了利用涡量方程求解二维不可压缩粘性流动时涡量边界条件(主要是壁面边界条件)难以给定的困难,算例表明:这种方法比较简单且计算结果基本上是令人满意的。

The vorticity—velocity equations of 2—D incompressible viscous flow are solved by BEM. The normal derivatives of velocities and the velocities on the boundary of solution domain are used to compute the vorticity boundary conditions (mainly the wall boundary conditions) explicitly, which are usually difficult to specify when the vorticity equation is used to solve 2—D incompressible viscous flow. Examples show that the results calculated by this method are generally satisfactory.