两方程湍流模型的可压缩性修正及其应用

Modification of Two-Equation Turbulence Models with Compressibility and its Application

本文在不可压两方程湍流模型的基础上进行可压缩性修正 ,给出了k ε、k ω两方程模型的可压缩性修正方程 ,并对亚声平板湍流流动和跨声喷管流动进行了数值模拟 ,得到了较好的结果。从而证实了两方程湍流模型经过可压缩性修正 ,能较好地模拟可压缩流动。

In this paper, the two equation turbulence models (k ε and k ω models) have been derived with compressibility modification including the dilation dissipation and pressure dilation. The subsonic boundary flow over a flat plate with M ∞=0.4 inflow is calculated with the modified and unmodified two equation turbulence models. Near the same results are obtained with the modified and unmodified turbulence models. This means that due to the turbulent Mach number M t is small, the modification of compressibility in the modified two equation turbulence models plays less effect on the flow when the flow is low subsonic. Meantime the normal shock wave/ turbulence boundary layer interaction flows in a nozzle is calculated with the improved two equation turbulence models also. Comparing with the experimental results, it shows that the modified two equation turbulence models can accurately predict the time averaged parameters such as the distribution of pressure along the wall, the distribution of velocity behind the shock wave.