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A Gas Kinetic Scheme for the Simulation of Compressible Multicomponent Flows

Published online by Cambridge University Press:  03 June 2015

Liang Pan*
Affiliation:
Institute of Applied Physics and Computational Mathematics, Beijing 100088, China The Graduate School of China Academy of Engineering Physics, Beijing 100088, China
Guiping Zhao*
Affiliation:
National Natural Science Foundation of China, Beijing 100085, China
Baolin Tian*
Affiliation:
Institute of Applied Physics and Computational Mathematics, Beijing 100088, China Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
Shuanghu Wang*
Affiliation:
Institute of Applied Physics and Computational Mathematics, Beijing 100088, China Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
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Abstract

In this paper, a gas kinetic scheme for the compressible multicomponent flows is presented by making use of two-species GK model in [A. D. Kotelnikov and D. C. Montgomery, A Kinetic Method for Computing Inhomogeneous Fluid Behavior, J. Comput. Phys. 134 (1997) 364-388]. Different from the conventional BGK model, the collisions between different species are taken into consideration. Based on the Chapman-Enskog expansion, the corresponding macroscopic equations are derived from this two-species model. Because of the relaxation terms in the governing equations, the method of operator splitting is applied. In the hyperbolic part, the integral solutions of the BGK equations are used to construct the numerical fluxes at the cell interface in the framework of finite volume method. Numerical tests are presented in this paper to validate the current approach for the compressible multicomponent flows. The theoretical analysis on the spurious oscillations at the interface is also presented.

Type
Research Article
Copyright
Copyright © Global Science Press Limited 2013

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