TY - JOUR
T1 - Simulations of Compressible Two-Medium Flow by Runge-Kutta Discontinuous Galerkin Methods with the Ghost Fluid Method
AU - Jianxian Qiu, Tiegang Liu & Boo Cheong Khoo
JO - Communications in Computational Physics
VL - 2
SP - 479
EP - 504
PY - 2008
DA - 2008/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7863.html
KW - 
AB - <p style="text-align: justify;">The original ghost fluid method (GFM) developed in [13] and the modified GFM (MGFM) in [26] have provided a simple and yet flexible way to treat two-medium flow problems. The original GFM and MGFM make the material interface
”invisible” during computations and the calculations are carried out as for a single
medium such that its extension to multi-dimensions becomes fairly straightforward.
The Runge-Kutta discontinuous Galerkin (RKDG) method for solving hyperbolic conservation laws is a high order accurate finite element method employing the useful
features from high resolution finite volume schemes, such as the exact or approximate
Riemann solvers, TVD Runge-Kutta time discretizations, and limiters. In this paper,
we investigate using RKDG finite element methods for two-medium flow simulations
in one and two dimensions in which the moving material interfaces are treated via nonconservative methods based on the original GFM and MGFM. Numerical results for
both gas-gas and gas-water flows are provided to show the characteristic behaviors of
these combinations.</p>