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A Conservative Modification to the Ghost Fluid Method for Compressible Multiphase Flows

Published online by Cambridge University Press:  20 August 2015

Wei Liu ,
Li Yuan  and
Chi-Wang Shu
Wei Liu*
Affiliation:
Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China
Li Yuan*
Affiliation:
Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China
Chi-Wang Shu*
Affiliation:
Division of Applied Mathematics, Brown University, Providence RI 02912, USA
*
Email:liuwei@lsec.cc.ac.cn
Email:lyuan@lsec.cc.ac.cn
Corresponding author.Email:shu@dam.brown.edu
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Abstract

A conservative modification to the ghost fluid method (GFM) is developed for compressible multiphase flows. The motivation is to eliminate or reduce the conservation error of the GFM without affecting its performance. We track the conservative variables near the material interface and use this information to modify the numerical solution for an interfacing cell when the interface has passed the cell. The modification procedure can be used on the GFM with any base schemes. In this paper we use the fifth order finite difference WENO scheme for the spatial discretization and the third order TVD Runge-Kutta method for the time discretization. The level set method is used to capture the interface. Numerical experiments show that the method is at least mass and momentum conservative and is in general comparable in numerical resolution with the original GFM.

Keywords

76M2076T99WENO schemeghost fluid method (GFM)mass conservationmultiphase flow
Type
Research Article
Information
Communications in Computational Physics , Volume 10 , Issue 4 , October 2011 , pp. 785 - 806
Copyright
Copyright © Global Science Press Limited 2011

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