The discontinuous Galerkin method with Lax-Wendroff type time discretizations | |
Qiu, JX ; Dumbser, M ; Shu, CW ; Qiu JX(邱建贤) | |
2005 | |
关键词 | discontinuous Galerkin method Lax-Wendroff type time discretization Runge-Kutta method limiter WENO scheme high order accuracy |
英文摘要 | 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. |
语种 | 英语 |
内容类型 | 期刊论文 |
源URL | [http://dspace.xmu.edu.cn/handle/2288/66687] ![]() |
专题 | 数学科学-已发表论文 |
推荐引用方式 GB/T 7714 | Qiu, JX,Dumbser, M,Shu, CW,et al. The discontinuous Galerkin method with Lax-Wendroff type time discretizations[J],2005. |
APA | Qiu, JX,Dumbser, M,Shu, CW,&邱建贤.(2005).The discontinuous Galerkin method with Lax-Wendroff type time discretizations.. |
MLA | Qiu, JX,et al."The discontinuous Galerkin method with Lax-Wendroff type time discretizations".(2005). |
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