一种求解全位势方程的跨音松弛法

 本文发展了一种适用于求解二维跨音速叶栅流场的松弛方法。采用流线和平行于y-轴的直线族组成的非正交网格系统,在物理平面中求解全位势方程,沿流线构造相关差分格式。数值结果表明,本方法具有收敛速度快、差分格式稳定的优点,松弛150步以后,便可获得基本满意的结果。计算结果和物理分析一致,和试验数据相近。

A NEW TRANSONIC RELAXATION METHOD FOR SOLVING TWO-DIMENSIONAL FULL-POTENTIAL EQUATION OF A CASCADE

A new transonic relaxation method is presented, which adopts a non-orthogonal mesh system composed of streamlines and straight lines parallel to yaxis. The governing equation expressed by the streamline coordinate system is solved in physical plane. Since the streamline coordinate system is adopted, the governing equation is greatly simplified and the formulation of finite difference scheme is also made correctly and easily. Therefore, the procedure of this method is quite simple and clear. This method could be used to predict the transonic flow field over a two-dimensional cascade with embedded shock waves.The numerical experimentation shows that both the convergence speed and stability of the finite difference scheme proposed are satisfactory. The numerical examples also illustrate that the results are in good agreement with physical analyses and experimental data.