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首页> 外文会议>Eighth International Conference on Computational Fluid Dynamics >A numerical study of the performance of the discontinuous Galerkin method based on different gas-kinetic fluxes
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A numerical study of the performance of the discontinuous Galerkin method based on different gas-kinetic fluxes

机译：不同气体动力学通量的不连续Galerkin方法性能的数值研究

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摘要

The recently developed gas-kinetic scheme (GKS) is highly promising in solving Eulerrnand Navier-Stokes equations, with respect to accuracy, efficiency, and robustness. Here we inventrnthree types of GKS fluxes, apply them to the discontinuous Galerkin (DG) method and explorernnumerically their performances. Unlike the traditional discontinuous Galerkin methods, where arnLocal Discontinuous Galerkin (LDG) formulation is usually used to discretize the viscous fluxesrnin the Navier-Stokes equations, GKS flux is based on the time evolution of the Navier-Stokesrngas distribution function, which naturally includes both convective and dissipative terms. Manyrnbenchmark two-dimensional problems are solved on arbitrary grids. We make a detailed comparisonrnwith respect to accuracy, stability, and CPU costs.
机译：在精度，效率和鲁棒性方面，最近开发的气体动力学方案（GKS）在求解Eulerrnand Navier-Stokes方程式方面非常有前途。在这里，我们发明了三种类型的GKS通量，将它们应用于不连续的Galerkin（DG）方法，并从数值上探讨了它们的性能。与传统的不连续Galerkin方法不同，后者通常使用arnLocal Discontinuous Galerkin（LDG）公式来离散Navier-Stokes方程中的粘性通量，而GKS通量则基于Navier-Stokesrngas分布函数的时间演化，该函数自然包括对流和耗散术语。在任意网格上解决了许多基准二维问题。我们对准确性，稳定性和CPU成本进行了详细的比较。

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