Abstract Shock waves drastically alter the nature of Reynolds stresses in a turbulent flow, and conventional turbulence models cannot reproduce this effect. In the present study, we employ explicit algebraic Reynolds stress model (EARSM) to predict the Reynolds stress anisotropy generated by a shockwave. The model by Wallin and Johansson (2000) is used as the baseline model. It is found to over-predict the post-shock Reynolds stresses in canonical shock turbulence interaction. The budget of the transport equation of Reynolds stresses computed using linear interaction analysis shows that the unsteady shock distortion mechanism and the pressure–velocity correlations are important. We propose improvement to the baseline model using linear interaction analysis results and redistribute the turbulent kinetic energy between the principle Reynolds stresses. The new model matches DNS data for the amplification of Reynolds stresses across the shock and their post-shock evolution, for a range of Mach numbers. It is applied to oblique shock/boundary-layer interaction at Mach 5. Significant improvements are observed in predicting surface pressure and skin friction coefficient, with respect to experimental measurements.

中文翻译：

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冲击主导流动的显式代数雷诺应力模型

摘要 冲击波极大地改变了湍流中雷诺应力的性质，而传统的湍流模型无法重现这种影响。在本研究中，我们采用显式代数雷诺应力模型 (EARSM) 来预测由冲击波产生的雷诺应力各向异性。Wallin 和 Johansson (2000) 的模型被用作基线模型。发现它高估了典型激波湍流相互作用中的激波后雷诺应力。使用线性相互作用分析计算的雷诺应力传输方程的预算表明非定常冲击变形机制和压力-速度相关性很重要。我们建议使用线性相互作用分析结果对基线模型进行改进，并在主要雷诺应力之间重新分配湍流动能。对于一系列马赫数，新模型匹配 DNS 数据，以放大冲击及其后冲击演变中的雷诺应力。它应用于 5 马赫的斜激波/边界层相互作用。相对于实验测量，在预测表面压力和皮肤摩擦系数方面观察到显着改进。