@Article{AAMM-9-1111,
author = {Lin , JianyuDing , HangLu , Xiyun and Wang , Peng},
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 = {<p style="text-align: justify;">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 $SF_6$ 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.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2016-0084},
url = {http://global-sci.org/intro/article_detail/aamm/12192.html}
}