Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
500578 | Computer Methods in Applied Mechanics and Engineering | 2005 | 16 Pages |
Abstract
In this paper we develop a Lax–Wendroff time discretization procedure for the discontinuous Galerkin method (LWDG) to solve hyperbolic conservation laws. This is an alternative method for time discretization to the popular total variation diminishing (TVD) Runge–Kutta time discretizations. The LWDG is a one step, explicit, high order finite element method. The limiter is performed once every time step. As a result, LWDG is more compact than Runge–Kutta discontinuous Galerkin (RKDG) and the Lax–Wendroff time discretization procedure is more cost effective than the Runge–Kutta time discretizations for certain problems including two-dimensional Euler systems of compressible gas dynamics when nonlinear limiters are applied.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Jianxian Qiu, Michael Dumbser, Chi-Wang Shu,