针对三种二维后向台阶构型,对工程上常用的湍流模型在超声速流中对台阶后回流区分布、温度、速度、压力分布及重附距离的影响进行了研究。研究表明:对于捕获台阶后次级回流区,k-ωStandard、k-ωSST、RSM和SA四种湍流模型的性能较好。使用k-kl-ω湍流模型有利于较准确的模拟温度分布。使用RSM模型有利于较准确的模拟速度分布。k-ωStandard、k-ωSST对唇口激波的捕获能力较强。对于压力分布的模拟,k−ωStandard,k-ωSST,SST-4eqn和RSM性能较好,k-ε家族性能较差。k-ωSST和k-εRNG对重附点的捕获能力较强。k-ωSST在回流区分布、温度分布、速度分布、壁面压力、重附点捕获方面均表现了良好的性能。

Based on three different two-dimensional steps, the effect of turbulence model on recirculation, temperature, velocity, pressure and reattachment distance behind a step in supersonic flow were investigated numerically. Main conclusions are as follows. It's better to use one of k-ω standard, k-ω SST, RSM and SA turbulence model to capture the secondary recirculation just behind the step. For an accuracy temperature distribution, k-kl-ω turbulence model is a good candidate. For accurate velocity distribution, RSM turbulence model is a good candidate. It is well to capture the lip shock using k-ω standard or k-ω SST turbulence model. The use of k-ω standard, k-ω SST, SST4eqn or RSM is a better choice for capturing the pressure distribution, but the k-ε family isn't well. The reattach point captured by the use of k-ω SST or k-ε RNG is consistent with the experiment. The k-ω SST turbulence model is a good candidate for capturing distribution of recirculation zone, temperature, velocity, pressure and reattaches distance.