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首页> 外文期刊>Bulletin of the American Physical Society >APS -70th Annual Meeting of the APS Division of Fluid Dynamics- Event - Applications of Analytical Self-Similar Solutions of Reynolds-Averaged Models for Instability-Induced Turbulent Mixing
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APS -70th Annual Meeting of the APS Division of Fluid Dynamics- Event - Applications of Analytical Self-Similar Solutions of Reynolds-Averaged Models for Instability-Induced Turbulent Mixing

机译：APS-流体动力学APS分部第70届年会-事件-雷诺平均模型的解析自相似解在不稳定性诱发湍流混合中的应用

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摘要

Analytical self-similar solutions to several families of single- and two-scale, eddy viscosity and Reynolds stress turbulence models are presented for Rayleigh--Taylor, Richtmyer--Meshkov, and Kelvin--Helmholtz instability-induced turbulent mixing. The use of algebraic relationships between model coefficients and physical observables (e.g., experimental growth rates) following from the self-similar solutions to calibrate a member of a given family of turbulence models is shown. It is demonstrated numerically that the algebraic relations accurately predict the value and variation of physical outputs of a Reynolds-averaged simulation in flow regimes that are consistent with the simplifying assumptions used to derive the solutions. The use of experimental and numerical simulation data on Reynolds stress anisotropy ratios to calibrate a Reynolds stress model is briefly illustrated. The implications of the analytical solutions for future Reynolds-averaged modeling of hydrodynamic instability-induced mixing are briefly discussed.
机译：针对瑞利-泰勒，里奇米耶-梅什科夫和开尔文-亥姆霍兹失稳引起的湍流混合，提出了针对单涡旋和二维涡旋和雷诺应力湍流模型几个系列的解析自相似解。显示了根据自相似解来校准给定湍流模型族成员后，使用模型系数与物理可观察值之间的代数关系。数值证明了，代数关系准确地预测了雷诺平均模拟在流动状态下的物理输出的值和变化，这与用于得出解的简化假设一致。简要说明了使用雷诺应力各向异性比率的实验和数值模拟数据来校准雷诺应力模型。简要讨论了解析解决方案对未来Reynolds平均模型的水动力不稳定性引起的混合的影响。

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