压气机叶片排中三维流场计算的多网格法

A MULTIGRID SCHEME FOR CALCULATING THREE DIMENSIONAL FLOWS THROUGH COMPRESSOR BLADE ROW

以三维有限差分形式的ＭａｃＣｏｒｍａｃｋ格式为基础，对相对圆柱坐标系下弱守恒型控制方程，导出了残差在粗、细网格上的传播与回插公式，形成了一种多网格算法。计算表明，这种算法大幅度地提高了计算收敛速度，而且方法本身简便易行。

Based on the MacCormack explicit difference Scheme,a multigrid scheme has been developed to solve the three dimensional Euler equations expressed by weak conservation law in cylindrical coordinate system.The distribution and interpolation formulas of corrections for the presented multigrid scheme have been derived.The present Euler solver was used to calculate the flows of two sets of transonic compressor rotor blade rows,and proven to be a valid and useful design tool.The computed results indicate that this scheme is enable to accelerate the computation convergence greatly,and the method is accurate and reliable.