非定常不可压N-S方程的数值计算

Unsteady solution of incompressible N-S equations

推出了一种在正交坐标系下计算不可压Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程的人工压缩性方法．该方法引入辅助虚拟时间域，以人工压缩系数联合动量方程与连续方程从而直解求解，同时利用正交坐标变换系统处理非规则边界．计算实例还表明了方法的数值计算迭代变化规律以及人工压缩系数的影响．

A numerical method to solve unsteady incompressible Navier-Stokes equations is presented based upon artificial compressibility.In this method, a pseudo-time concept is introduced to obtain the incompressible time-accurate solution at the advanced time level and an adaptive scheme is developed to treat the arbitrary flow domain by using the orthogonal coordinate system. Two applications of the method are also discussed.