Volume 14, Issue 5
A Gas Kinetic Scheme for the Simulation of Compressible Multicomponent Flows

Liang Pan, Guiping Zhao, Baolin Tian & Shuanghu Wang

Commun. Comput. Phys., 14 (2013), pp. 1347-1371.

Published online: 2013-11

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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 BGK 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. 

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@Article{CiCP-14-1347, author = {Liang Pan, Guiping Zhao, Baolin Tian and Shuanghu Wang}, title = {A Gas Kinetic Scheme for the Simulation of Compressible Multicomponent Flows}, journal = {Communications in Computational Physics}, year = {2013}, volume = {14}, number = {5}, pages = {1347--1371}, abstract = {

In this paper, a gas kinetic scheme for the compressible multicomponent flows is presented by making use of two-species BGK 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. 

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.280312.210313a}, url = {http://global-sci.org/intro/article_detail/cicp/7205.html} }
TY - JOUR T1 - A Gas Kinetic Scheme for the Simulation of Compressible Multicomponent Flows AU - Liang Pan, Guiping Zhao, Baolin Tian & Shuanghu Wang JO - Communications in Computational Physics VL - 5 SP - 1347 EP - 1371 PY - 2013 DA - 2013/11 SN - 14 DO - http://dor.org/10.4208/cicp.280312.210313a UR - https://global-sci.org/intro/cicp/7205.html KW - AB -

In this paper, a gas kinetic scheme for the compressible multicomponent flows is presented by making use of two-species BGK 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. 

Liang Pan, Guiping Zhao, Baolin Tian & Shuanghu Wang. (1970). A Gas Kinetic Scheme for the Simulation of Compressible Multicomponent Flows. Communications in Computational Physics. 14 (5). 1347-1371. doi:10.4208/cicp.280312.210313a
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