A general Riemann solver for Euler equations

作者：Wu Hao^*; Shen Zhijun

来源：International Journal for Numerical Methods in Fluids, 2008, 56(11): 1993-2020.

DOI：10.1002/fld.1580

• compressible flow
• Euler equations
• finite volume method
• Godunov-type method
• Riemann solvers
• complex EOS

In this paper, we present a general Riemann solver which is applied successfully to compute the Euler equations in fluid dynamics with many complex equations of state (EOS). The solver is based on a splitting method introduced by the authors. We add a linear advection term to the Euler equations in the first step, to make the numerical flux between cells easy to compute. The added linear advection term is thrown off in the second step. It does not need an iterative technique and characteristic wave decomposition for computation. This new solver is designed to permit the construction of high-order approximations to obtain high-order Godunov-type schemes. A number of numerical results show its robustness.

• 出版日期2008-4-20
• 单位北京应用物理与计算数学研究所