Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6931123 | Journal of Computational Physics | 2015 | 21 Pages |
Abstract
Combined with the discontinuous Galerkin (DG) framework, the generalized Riemann problem (GRP) method is applied to design a GRP-DG scheme with high order accuracy for compressible Euler equations. Since numerical fluxes with second order accuracy in time are derived by the GRP method, the reconstruction steps for physical variables in the new scheme are halved compared with the traditional Runge-Kutta discontinuous Galerkin (RK-DG) scheme. The numerical results are also improved due to more introduced physical information. Several numerical examples verify the validity of the proposed schemes.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Yue Wang, Shuanghu Wang,