Simplified unified wave-particle method with quantified model-competition mechanism for numerical calculation of multiscale flows.,Physical Review E

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Simplified unified wave-particle method with quantified model-competition mechanism for numerical calculation of multiscale flows.
Physical Review E ( IF 2.2 ) Pub Date : 2020-07-06 , DOI: 10.1103/physreve.102.013304
Sha Liu _{1,

2} , Chengwen Zhong _{1,

2} , Ming Fang ₃

Affiliation

A quantified model-competition (QMC) mechanism for multiscale flows is extracted from the integral (analytical) solution of the Boltzmann-BGK model equation. In the QMC mechanism, the weight of the rarefied model and the weight of the continuum (aerodynamic and hydrodynamic) model are quantified. Then, a simplified unified wave-particle method (SUWP) is constructed based on the QMC mechanism. In the SUWP, the stochastic particle method and the continuum Navier-Stokes method are combined together. Their weights are determined by the QMC mechanism quantitatively in every discrete cell of the computational domain. The validity and accuracy of the present numerical method are examined using a series of test cases including the high nonequilibrium shock wave structure case, the unsteady Sod shock-tube case with a wide range of Kn number, the hypersonic flow around the circular cylinder from the free-molecular regime to the near continuum regime, and the viscous boundary layer case. In the construction process of the present method, an antidissipation effect in the continuum mechanism is also discussed.

中文翻译：

具有量化模型竞争机制的简化统一波粒法，用于多尺度流的数值计算。

从Boltzmann-BGK模型方程的积分（解析）解中提取了用于多尺度流的量化模型竞争（QMC）机制。在QMC机制中，量化稀疏模型的权重和连续模型（空气动力学和流体动力学）的权重。然后，基于QMC机制构造了简化的统一波粒法（SUWP）。在SUWP中，将随机粒子方法和连续谱Navier-Stokes方法结合在一起。它们的权重由QMC机制在计算域的每个离散单元中定量确定。使用一系列测试案例检验了本数值方法的有效性和准确性，其中包括高非平衡冲击波结构案例，具有大Kn值范围的非稳态Sod冲击管案例，从自由分子状态到近连续谱状态的圆柱体周围的高超声速流动，以及粘性边界层情况。在本方法的构建过程中，还讨论了连续机制中的抗耗散作用。

更新日期：2020-07-06

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