@Article{CiCP-8-403,
author = {Liang Xu and Tiegang Liu},
title = {Optimal Error Estimation of the Modified Ghost Fluid Method},
journal = {Communications in Computational Physics},
year = {2010},
volume = {8},
number = {2},
pages = {403--426},
abstract = {<p style="text-align: justify;">The modified ghost fluid method (MGFM) has been shown to be robust and
efficient when being applied to multi-medium compressible flows. In this paper, we
rigorously analyze the optimal error estimation of the MGFM when it is applied to
the multi-fluid Riemann problem. By analyzing the properties of the MGFM and the
approximate Riemann problem solver (ARPS), we show that the interfacial status provided
by the MGFM can achieve “third-order accuracy” in the sense of comparing to
the exact solution of the Riemann problem, regardless of the solution type. In addition,
our analysis further reveals that the ARPS based on a doubled shock structure in the
MGFM is suitable for almost any conditions for predicting the interfacial status, and
that the “natural” approach of “third-order accuracy” is practically less useful. Various
examples are presented to validate the conclusions made.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.110509.271009a},
url = {http://global-sci.org/intro/article_detail/cicp/7578.html}
}