论文标题
简化的统一波颗粒方法，具有量化模型竞争机制，用于多尺度流的数值计算
Simplified Unified Wave-Particle Method with Quantified Model-Competition Mechanism for Numerical Calculation of Multi-Scale Flows
论文作者
论文摘要
从Boltzmann-BGK模型方程的积分（分析）解决方案中提取了多尺度流的量化模型竞争（QMC）机制。在QMC机制中，量化了稀有模型的重量和连续性（空气动力学/流体动力学）模型的重量。然后，基于QMC机制构建了简化的统一波粒方法（SUWP）。在SUWP中，将随机粒子方法和连续纳维尔 - stokes方法组合在一起。它们的权重在计算域的每个离散单元中定量地确定了QMC机制。使用一系列测试用例检查本数值方法的有效性和准确性，包括高非均衡性冲击波结构案例，不稳定的SOD冲击管情况，具有广泛的KN数量，围绕圆形圆柱体的高血压流从自由分子状态到近乎连续性的机制以及粘性边界层案例。在本方法的施工过程中，还讨论了连续机制中的抗散射效应。
A Quantified Model-Competition (QMC) mechanism for multi-scale 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/hydrodynamic) model are quantified. Then, a Simplified Unified Wave-Particle method (SUWP) is constructed based the 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 cells of the computational domain. The validity and accuracy of the present numerical method are examined using a series of test cases including the high non-equilibrium 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 anti-dissipation effect in the continuum mechanism is also discussed.
