@Article{CiCP-20-3,
author = {},
title = {Practical Techniques in Ghost Fluid Method for Compressible Multi-Medium Flows},
journal = {Communications in Computational Physics},
year = {2016},
volume = {20},
number = {3},
pages = {619--659},
abstract = {<p style="text-align: justify;">The modified ghost fluid method (MGFM), due to its reasonable treatment
for ghost fluid state, has been shown to be robust and efficient when applied to compressible
multi-medium flows. Other feasible definitions of the ghost fluid state, however,
have yet to be systematically presented. By analyzing all possible wave structures
and relations for a multi-medium Riemann problem, we derive all the conditions to define
the ghost fluid state. Under these conditions, the solution in the real fluid region
can be obtained exactly, regardless of the wave pattern in the ghost fluid region. According
to the analysis herein, a practical ghost fluid method (PGFM) is proposed to
simulate compressible multi-medium flows. In contrast with the MGFM where three
degrees of freedom at the interface are required to define the ghost fluid state, only one
degree of freedom is required in this treatment. However, when these methods proved
correct in theory are used in computations for the multi-medium Riemann problem,
numerical errors at the material interface may be inevitable. We show that these errors
are mainly induced by the single-medium numerical scheme in essence, rather than
the ghost fluid method itself. Equipped with some density-correction techniques, the
PGFM is found to be able to suppress these unphysical solutions dramatically.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.190315.290316a},
url = {https://global-sci.com/article/80212/practical-techniques-in-ghost-fluid-method-for-compressible-multi-medium-flows}
}