数值分析跨声速主流与边界层迭代

NUMERICAL ANALYSIS OF VISCOUS-INVISCID INTERACTION IN TRANSONIC FLOW

本文首次提出新的用于分析跨声速无粘主流与边界层迭代过程稳定性的物理模型和数学模型,在局部冻结系数的意义下从理论上细致分析了主流采用跨声速流函数法,而边界层分别采用正模式、逆模式、半逆模式计算时主流与边界层迭代过程的稳定性和放大因子。指出上述这些迭代并不总收敛,并给出了使这一过程达到收敛应具备的条件,这对指导电子计算机上的数值试验有特别重要的意义。文中完成了4个典型算例,得到了与实验较为吻合的数值结果。

The viscous-inviscid interaction is especially important in transonic flow since the boundary layer has a significant effect on the inviscid portion of the flow. Here, the inviscid solution is obtained by the stream function method. While the attached and separated turbulent boundary layer calculations arc 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 iteration 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 transonic cascades and are in reasonably good agreement.