A Robust Low Diffusive Kinetic Scheme for the Navier-Stokes/Euler Equations
A Robust Low Diffusive Kinetic Scheme for the Navier-Stokes/Euler Equations
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DOI：
10.1006/jcph.1997.5673
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发表时间：
1997-05
影响因子：
4.1
通讯作者：
J. Moschetta;D. Pullin
中科院分区：
文献类型：
--
作者：
J. Moschetta;D. Pullin
提出了一种基于平衡通量法（EFM）并采用Osher中间态修正的新动力学格式。该格式结合了平衡通量法的鲁棒性和通量差分割格式的准确性。原EFM格式是用简单的波分解来表示的，其中仅由Osher数值通量计算线性退化子路径，而非线性波仍然由规则的EFM分裂来计算。由于其承受强烈非线性波的能力，但准确地解决接触不连续，EFMO特别适合于纳维耶？Stokes方程通过一系列严峻的测试案例得到了验证，包括高速粘滞锥体流动、激波边界层相互作用问题、真空幻影问题、100马赫的高超声速圆柱流动和3马赫的前向台阶。
A new kinetic scheme based on the equilibrium flux method (EFM) and modified using Osher intermediate states is proposed. This new scheme called EFMO combines the robustness of the equilibrium flux method and the accuracy of flux-difference splitting schemes. The original EFM scheme is expressed in terms of simple wave decomposition in which only the linearly degenerate subpath is calculated from Osher numerical flux while nonlinear waves are still evaluated from the regular EFM splitting. Owing to its capability of withstanding intense nonlinear waves and yet exactly resolving contact discontinuities, EFMO is particularly well suited for the resolution of the Navier?Stokes equations as demonstrated by a series of severe test cases including the high-speed viscous flow around a cone, a shock-boundary layer interaction problem, a vacuum apparition problem, the hypersonic flow around a circular cylinder at Mach 100, and the forward-facing step at Mach 3.