Hydrodynamic instabilities, including Rayleigh–Taylor, Richtmyer–Meshkov (RM), and Kelvin–Helmholtz, induced turbulent mixing broadly occur in both natural phenomena, such as supernova explosions, and high-energy-density applications, such as inertial confinement fusion. Reshocked RM mixing is the most fundamental physical process that is closely related to practical problems, as it involves three classical instabilities. In complex applications, the Reynolds-averaged Navier–Stokes model analysis continues to play a major role. However, there are very few turbulence models that facilitate unified predictions of the outcome of reshocked RM mixing experiments under different physical conditions. Thus, we aim to achieve this objective using the K-L model based on three considerations: deviatoric shear stress is considered when constructing Reynolds stress tensor; the model coefficients used are derived based on a new systematic procedure; the performance of different numerical schemes are studied to ensure high resolution but basically no numerical oscillation. Consequently, a unified prediction is obtained for the first time for a series of reshocked RM mixing experiments under incident shock Mach numbers Ma = 1.2–1.98, Atwood numbers At = ±0.67, and test section lengths 8 cm ≤ δ ≤ 110 cm. The results reveal the feasibility of demonstrating different reshocked RM processes using a single model, without adjusting the model coefficients, which sheds light on the further application of the present model to practical engineering, such as inertial confinement fusion.

中文翻译：

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KL模型对重击的Richtmyer–Meshkov混合的统一预测

包括瑞利-泰勒，里奇米尔-梅什科夫（RM）和开尔文-亥姆霍兹（Kelvin-Helmholtz）在内的流体动力学不稳定性，在自然现象（如超新星爆炸）和高能密度应用（如惯性约束聚变）中都广泛发生湍流混合。重新震荡的RM混合是与实际问题密切相关的最基本的物理过程，因为它涉及三个经典的不稳定性。在复杂的应用程序中，雷诺平均的Navier–Stokes模型分析继续发挥重要作用。但是，很少有湍流模型可以促进对在不同物理条件下重新混合的RM混合实验的结果进行统一预测。因此，我们基于三个考虑因素，使用KL模型来实现这一目标：构造雷诺应力张量时应考虑偏剪应力。使用的模型系数是基于新的系统程序得出的；为了保证高分辨率，但基本上没有数值振荡，研究了不同数值方案的性能。因此，在冲击波马赫数Ma = 1.2-1.98，Atwood数的情况下，首次获得了一系列重新混合的RM混合实验的统一预测。在=±0.67，和测试部分长度8厘米≤ δ ≤110厘米。结果揭示了在不调整模型系数的情况下，使用单个模型演示不同的再冲击RM过程的可行性，这为将本模型进一步应用于实际工程（如惯性约束融合）提供了启示。