应用GAO-YONG湍流模式数值模拟三维激波/湍流边界层干扰

应用GAO-YONG可压缩湍流模式数值模拟了三维激波/湍流边界层干扰算例之一——单鳍流动.攻角20°,来流马赫数2.93,雷诺数9.8×105.对流项和扩散项分别采用Roe格式和二阶中心差分格式计算.Runge-Kutta显示时间推进方法求解了半离散的控制方程.包括壁面压力分布,边界层内流动偏移角等在内的计算值与试验数据进行了比较.准确地预测出了三维激波/湍流边界层干扰流场的主要流动特性——λ波结构,主分离涡核,膨胀区,滑移线等.计算与Alvi等提出的单鳍流动的理论模型符合很好,得到了平板表面压力以及分离线、再附线等在单鳍流动中所独有的半圆锥特性. 

Numerical simulation of 3-D shock wave/turbulent boundary layer interaction using GAO-YONG turbulence model

This paper presented a numerical simulation method of three-dimensional shock wave/turbulent boundary layer interaction generated by a 20-deg sharp fin mounted on a flat plate at Mach number 2.93 and Reynolds number 9.8×105,based on incoming boundary layer thickness.This investigation was conducted based upon GAO-YONG compressible turbulence equations recently developed by GAO Ge and YONG Yan.The equations were discretized using a finite volume method with the convection terms and diffusion terms calculated by the third-order Roe's flux difference splitting scheme and the second-order central difference scheme,respectively.The Runge-Kutta time marching method was employed to solve the governing equations for steady state solutions.Numerical results were compared with available experimental data in the form of surface pressures and boundary layer surveys of yaw angles.The computed three-dimensional flowfield shows most of the features covering λ-structure shock wave,primary vortex,separation region,and high-speed jet impingement;meanwhile,quasi-conical behavior of the surface pressure,surface attachment and separation streamlines exhibited in quasi-conical flowfield model of Alvi and Settles are presented.