二维粘性跨音叶栅流场计算中逆风因子法的应用

本文是二维亚音叶栅粘性流场计算的推广。在非正交贴体坐标中用有限差分法解非定常运动方程;用逆风因子法确保其数值稳定性。采用总温处处相等这个能量方程。时间步长由运动方程的离散方程的系数非负性确定。采用k-ε紊流模型。对DFVLR跨音叶型叶栅分别在进口马赫数为1.05和0.82的条件下作了数值试验。计算和实验的对比是满意的。

APPLICATION OF UPWIND FACTOR METHOD TO TRANSONIC CASCADE CALCULATION

In this paper the upwind factor method is extended to treating the two-dimensional transonic flows. The Navier Stokes equations with k-e turbulence model are discretized in a non orthogonal body-fitted coordinate system, and the upwind factor method is employed to ensure the numerical stability of the scheme. The maximum local time step is determined by the criterion that the cofficients in discretized equations must be non-negative.The numerical experiments are carried out for DFVLR transonic cascade for inlet Mach number of 0. 82 and 1. 05. and numerical results are compared with the experimental data in good agreement. Also, the numerical results are compared with the results calculated with a four stage Range Kutta time stepping scheme of an Euler code.