## WENO Scheme with Subcell Resolution for Computing Nonconservative Euler Equations with Applications to One-Dimensional Compressible Two-Medium Flows

- Tao Xiong, Chi-Wang Shu, Mengping Zhang
- J. Sci. Comput.
- 2012

Highly Influenced

@article{Qiu2007RungeKuttaDG, title={Runge-Kutta discontinuous Galerkin methods for compressible two-medium flow simulations: One-dimensional case}, author={Jianxian Qiu and Tiegang Liu and Boo Cheong Khoo}, journal={J. Comput. Physics}, year={2007}, volume={222}, pages={353-373} }

- Published 2007 in J. Comput. Physics
DOI:10.1016/j.jcp.2006.07.023

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… CONTINUE READING