@Article{CiCP-10-785,
author = {Wei Liu, Li Yuan and Chi-Wang Shu},
title = {A Conservative Modification to the Ghost Fluid Method for Compressible Multiphase Flows},
journal = {Communications in Computational Physics},
year = {2011},
volume = {10},
number = {4},
pages = {785--806},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.201209.161010a},
url = {http://global-sci.org/intro/article_detail/cicp/7461.html}
}