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Direct numerical simulation of the interaction between a shock wave and various types of isotropic turbulence

机译:冲击波与各向同性湍流相互作用的直接数值模拟

摘要

Direct Numerical Simulation (DNS) is used to study the interaction between normal shock waves of moderate strength (M1=1.2 and M1=1.5) and isotropic turbulence. A complete description of the turbulence behaviour across the shock is provided and the influence of the nature of the incoming turbulence on the interaction is investigated. The presence of upstream entropy fluctuations satisfying the Strong Reynolds Analogy enhances the amplification of the turbulent kinetic energy and transverse vorticity variances across the shock compared to the solenoidal (pure vorticity) case. Budgets for the fluctuating-vorticity variances are computed, showing that the baroclinic torque is responsible for this additional production of transverse vorticity. More reduction of the transverse Taylor microscale and integral scale is also observed in the vorticity-entropy case while no influence can be seen on the longitudinal Taylor microscale. When the upstream turbulence is dominated by acoustic and vortical fluctuations, less amplification of the kinetic energy (for Mach numbers between 1.25 and 1.8), less reduction of the transverse microscale and more amplification of the transverse vorticity variance are observed through the shock compared to the solenoidal case. In all cases, the classic estimation of Batchelor relating the dissipation rate and the integral scale of the flow proves to be invalid. These results are obtained with the same numerical tool and similar flow parameters, and they are in good agreement with Linear Interaction Analysis (LIA).
机译:直接数值模拟(DNS)用于研究中等强度(M1 = 1.2和M1 = 1.5)的正常冲击波与各向同性湍流之间的相互作用。提供了整个冲击过程中湍流行为的完整描述,并研究了传入湍流的性质对相互作用的影响。与螺线管(纯涡旋)情况相比,满足强雷诺模拟的上游熵波动的存在增强了整个激波中湍动能和横向涡度方差的放大。计算了波动涡度方差的预算,表明斜压扭矩是横向涡度这种额外产生的原因。在涡度熵的情况下,还观察到横向泰勒微尺度和积分尺度的进一步减小,而对纵向泰勒微尺度没有影响。当上游湍流受到声波和涡旋波动的支配时,与冲击波相比,通过冲击观察到的动能放大率较小(对于马赫数在1.25和1.8之间),横向微观尺度的减小较小,横向涡度方差更大。螺线管外壳。在所有情况下,Batchelor关于耗散率和流动积分比例的经典估计都被证明是无效的。这些结果是使用相同的数值工具和相似的流动参数获得的,并且与线性相互作用分析(LIA)很好地吻合。

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