Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 194, Issue 42-44, Pages 4528-4543Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2004.11.007
Keywords
discontinuous Galerkin method; Lax-Wendroff type time discretization; Runge-Kutta method; limiter; WENO scheme; high order accuracy
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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. (c) 2004 Elsevier B.V. All rights reserved.
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