跨声速主流与边界层迭代的稳定性分析与数值实验

STABILITY ANALYSIS AND NUMERICAL EXPERIMENTS FOR VISCOUS-INVISCID INTERACTION IN TRANSONIC FLOW

一、引言 在贴体曲线坐标系（x^1,x^2,x^3）中，强守恒基本方程组为：

Here, the inviscid solution is obtained by the stream function method. For the attached or separated turbulent boundary layer calculations. are performed by improved Green and East's lag entrainment method. The two calculations are coupled by an algorithm which converges rapidly for attached flows and performs well for separated flows. We discuss about classical iteration, inverse iteration, and semi-inverse method. Numerical stability of these coupling algorithms is described and the amplification factor μ is given respectively for each iteration in this paper.The numerical results obtained have been compared with test data on four different tran-sonic cascades in reasonably good agreement.