论文标题
从气体运动方案中提取的多尺度动力学无关通量，用于模拟不可压缩和可压缩流
A multi-scale kinetic inviscid flux extracted from the gas-kinetic scheme for simulating incompressible and compressible flows
论文作者
论文摘要
提出了动力学无粘性通量（KIF），以模拟不可压缩和可压缩的流动。它是基于多尺度流动行为的直接建模来构建的，该行为用于气体运动方案（GKS），统一的气体运动方案（UGK），离散的统一统一的气体运动方案（Dugks）等。在KIF中，KIF，KIF，由Mesh cind versed（例如，kin）求解的基因（例如，kin）是由MESH分辨出来的。代表自由运输机制（或微尺度机制）的方法，而在其他平稳的流动区域中，流动行为主要是通过中央式式完全造型完全热化运输（TTT）来解决的。 KIF中KFV和TTT的权重自动由直接建模理论中的权重决定。提出了在KIF中选择权重的两种方法，这些方法实际上是UGK和DUGKS中分别采用的权重。通过使用SOD休克管，稀疏波，平板的边界层，腔流量和高音流的测试用例，检查了本方法的有效性和准确性。 KIF不受碳纤维现象的困扰，也不会在光滑区域引入额外的数值粘度。尤其是在高超音速圆柱体的情况下，它给出了相当清晰，清晰的密度和温度轮廓。可以将KIF视为GKS的无粘性分裂版本。通过进行这种分裂，很容易在传统的CFD框架中使用。它也可以根据参考文献中的作品代表的动力学理论将其归类为数值方案中的新类型。 \ cite {suna}和参考。 \ cite {ohwada2018a}，除了权重取决于直接建模的重量。
A Kinetic Inviscid Flux (KIF) is proposed for simulating incompressible and compressible flows. It is constructed based on the direct modeling of multi-scale flow behaviors, which is used in the Gas-Kinetic Scheme (GKS), the Unified Gas-Kinetic Scheme (UGKS), the Discrete Unified Gas-Kinetic Scheme (DUGKS), etc.. In KIF, the discontinuities (such as the shock wave) that can not be well resolved by mesh cells are mainly solved by the Kinetic Flux Vector Splitting (KFVS) method representing the free transport mechanism (or micro-scale mechanism), while in other flow regions that are smooth, the flow behavior is solved mainly by the central-scheme-like Totally Thermalized Transport (TTT). The weights of KFVS and TTT in KIF is automatically determined by those in the theory of direct modeling. Two ways of choosing the weights in KIF are proposed, which are actually the weights adopted in the UGKS and the DUGKS, respectively. By using the test cases of Sod shock tube, rarefaction wave, the boundary layer of flat plate, the cavity flow and hypersonic flow over circular cylinder, the validity and accuracy of the present method are examined. The KIF does not suffer from the carbuncle phenomenon, and does not introduce extra numerical viscosity in smooth regions. Especially, in the case of hypersonic cylinder, it gives a quite sharp and clear density and temperature contours. The KIF can be viewed as an inviscid-viscous splitting version of the GKS. By the doing this splitting, it is easy to be used in the traditional CFD frameworks. It can also be classified as a new type in the numerical schemes based on the kinetic theory that are represented by the works in Ref. \cite{SunA} and Ref. \cite{ohwada2018a}, except the weights are determined by the weights of direct modeling.
