Volume 9, Issue 5
A Comparison Study of Numerical Methods for Compressible Two-Phase Flows

Jianyu Lin, Hang Ding, Xiyun Lu & Peng Wang

Adv. Appl. Math. Mech., 9 (2017), pp. 1111-1132.

Published online: 2018-05

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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 method, modified ghost fluid method, cut-cell method, compressible flow, two-phase flow.

  • AMS Subject Headings

76E17, 76L05, 76T10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-9-1111, author = {}, title = {A Comparison Study of Numerical Methods for Compressible Two-Phase Flows}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {9}, number = {5}, pages = {1111--1132}, 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

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2016-0084}, url = {http://global-sci.org/intro/article_detail/aamm/12192.html} }
TY - JOUR T1 - A Comparison Study of Numerical Methods for Compressible Two-Phase Flows JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 1111 EP - 1132 PY - 2018 DA - 2018/05 SN - 9 DO - http://doi.org/10.4208/aamm.OA-2016-0084 UR - https://global-sci.org/intro/article_detail/aamm/12192.html KW - Diffuse interface method, modified ghost fluid method, cut-cell method, compressible flow, two-phase flow. AB -

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

Jianyu Lin, Hang Ding, Xiyun Lu & Peng Wang. (2020). A Comparison Study of Numerical Methods for Compressible Two-Phase Flows. Advances in Applied Mathematics and Mechanics. 9 (5). 1111-1132. doi:10.4208/aamm.OA-2016-0084
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