高速粘性绕流的有限体积TVD格式

本文通过求解Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程，解决二维超声速及高速声速流动问题。通过采用坐标交换技术，可以方便地将有限体积ＴＶＤ格式应用到各种形状的流动问题中，各种典型算例的计算表明该方法数值计算稳定，捕捉激波分辩率高，能很好地模拟超声速和高速超声流动中激波反射及激波与边界层的干扰等各种复杂流动现象。湍流计算中采用ＢａｌｄｗｉｎＬｏｍａｘ湍流。数值结果与实验结果及理论解的对比令人满意。

Finite Volume TVD Algorithm of High Speed Viscous External Flows

This paper deals with two dimensional supersonic and hypersonic flow problem by solving the two dimensional Navier Stokes equation.The finite volume algorithm is conveniently applied to various flow problems with complicated shape by transformation techniques.Typical illustrations indicate that the algorithm is quite robust and can generate good shock capturing properties,and simulate correctly some complicated problems of supersonic and hypersonic viscous flow,such as the reflection of shock,the interference between shock and layer.Bladwin Lomax model is used in turbulent flow computations.The results are compared well with the relevant experimental data and theoretical data.