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A general Riemann solver for Euler equations
Author(s) -
Wu Hao,
Shen Zhijun
Publication year - 2007
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1580
Subject(s) - riemann solver , euler equations , godunov's scheme , solver , roe solver , riemann problem , mathematics , euler's formula , computation , backward euler method , advection , numerical analysis , riemann hypothesis , mathematical analysis , finite volume method , mathematical optimization , algorithm , physics , mechanics , thermodynamics
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. Copyright © 2007 John Wiley & Sons, Ltd.