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A Comparison Study of Numerical Methods for Compressible Two-Phase Flows

Part of: Hydrodynamic stability Two-phase and multiphase flows Shock waves and blast waves

Published online by Cambridge University Press:  11 July 2017

Jianyu Lin ,
Hang Ding ,
Xiyun Lu  and
Peng Wang
Jianyu Lin*
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230026, China
Hang Ding*
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230026, China
Xiyun Lu*
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230026, China
Peng Wang*
Affiliation:
Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
*
*Corresponding author. Email:linjiany@mail.ustc.edu.cn (J. Y. Lin), hding@ustc.edu.cn (H. Ding), xlu@ustc.edu.cn (X. Y. Lu), wangpei@iapcm.ac.cn (P. Wang)
*Corresponding author. Email:linjiany@mail.ustc.edu.cn (J. Y. Lin), hding@ustc.edu.cn (H. Ding), xlu@ustc.edu.cn (X. Y. Lu), wangpei@iapcm.ac.cn (P. Wang)
*Corresponding author. Email:linjiany@mail.ustc.edu.cn (J. Y. Lin), hding@ustc.edu.cn (H. Ding), xlu@ustc.edu.cn (X. Y. Lu), wangpei@iapcm.ac.cn (P. Wang)
*Corresponding author. Email:linjiany@mail.ustc.edu.cn (J. Y. Lin), hding@ustc.edu.cn (H. Ding), xlu@ustc.edu.cn (X. Y. Lu), wangpei@iapcm.ac.cn (P. Wang)
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Abstract

In this article a comparison study of the numerical methods for compressible two-phase flows is presented. Although many numerical methods have been developed in recent years to deal with the jump conditions at the fluid-fluid interfaces in compressible multiphase flows, there is a lack of a detailed comparison of these methods. With this regard, the transport five equation model, the modified ghost fluid method and the cut-cell method are investigated here as the typical methods in this field. A variety of numerical experiments are conducted to examine their performance in simulating inviscid compressible two-phase flows. Numerical experiments include Richtmyer-Meshkov instability, interaction between a shock and a rectangle SF6 bubble, Rayleigh collapse of a cylindrical gas bubble in water and shock-induced bubble collapse, involving fluids with small or large density difference. Based on the numerical results, the performance of the method is assessed by the convergence order of the method with respect to interface position, mass conservation, interface resolution and computational efficiency.

Keywords

Diffuse interface methodmodified ghost fluid methodcut-cell methodcompressible flowtwo-phase flow

MSC classification

Secondary: 76E17: Interfacial stability and instability 76L05: Shock waves and blast waves 76T10: Liquid-gas two-phase flows, bubbly flows
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 5 , October 2017 , pp. 1111 - 1132
Copyright
Copyright © Global-Science Press 2017 

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