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Modified Baer-Nunziato Model for the Simulation of Interfaces Between Compressible Fluids

Published online by Cambridge University Press:  20 August 2015

Qiang Wu ,
Xian-Guo Lu  and
De-Kang Mao
Qiang Wu*
Affiliation:
Department of Mathematics, Shanghai University, Shanghai 200444, China
Xian-Guo Lu*
Affiliation:
Accounting Institute, Shanghai Institute of Foreign Trade, Wenxiang Road 1900, Songjiang, Shanghai, China
De-Kang Mao*
Affiliation:
Department of Mathematics, Shanghai University, Shanghai 200444, China
*
Corresponding author.Email:wqwq11@sohu.com
Email:luxianguo403@163.com
Email:dkmao@staff.shu.edu.cn
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Abstract

In this paper we proposed a modified Baer-Nunziato model for compressible multi-fluid flows, with main attention on the energy exchange between the two fluids. The proposed model consists of eleven PDEs; however, the use of the particular phase evolving variables may reduce the model to have only six PDEs. The main advantage of the model is that the Abgrall's UPV criterion on mixture velocity and pressure is satisfied without affecting either its hyperbolicity or its conservations of the two individual masses, momentum or total energy. An Lax-Friedrichs scheme is built for a particular case of the proposedmodel. When the two fluids in the fluid mixture are both of the linear Mie-Gruneisen type, the scheme satisfies the Abgrall's UPV criterion on mixture velocity and pressure. Numerical experiments with polytropic, barotropic, stiffened and van der Waals fluids show that the scheme is efficient and able to treat fluids characterized with quite different thermodynamics.

Keywords

65M0635L6576N1576M10Baer-Nunziato modelhyperbolicityAbgrall's UPV criterion
Type
Research Article
Information
Communications in Computational Physics , Volume 9 , Issue 4 , April 2011 , pp. 1040 - 1055
Copyright
Copyright © Global Science Press Limited 2011

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