Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jcp.2006.07.023
Title: Runge-Kutta discontinuous Galerkin methods for compressible two-medium flow simulations: One-dimensional case
Authors: Qiu, J.
Liu, T.
Khoo, B.C. 
Keywords: Approximate Riemann problem solver
Ghost fluid method
Runge-Kutta discontinuous Galerkin method
WENO scheme
Issue Date: 1-Mar-2007
Source: Qiu, J., Liu, T., Khoo, B.C. (2007-03-01). Runge-Kutta discontinuous Galerkin methods for compressible two-medium flow simulations: One-dimensional case. Journal of Computational Physics 222 (1) : 353-373. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jcp.2006.07.023
Abstract: The Runge-Kutta discontinuous Galerkin (RKDG) method for solving hyperbolic conservation laws is a high order finite element method, which utilizes 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 the RKDG finite element method for compressible two-medium flow simulation with conservative treatment of the moving material interfaces. Numerical results for both gas-gas and gas-water flows in one-dimension are provided to demonstrate the characteristic behavior of this approach. © 2006 Elsevier Inc. All rights reserved.
Source Title: Journal of Computational Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/61257
ISSN: 00219991
DOI: 10.1016/j.jcp.2006.07.023
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