High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations

doi:10.1016/j.jcp.2009.09.001

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	High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations
	Liu, Wei 2; Cheng, Juan 3; Shu, Chi-Wang 1
	2009-12-10
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	228 期号:23 页码:8872-8891
摘要	In this paper, we explore the Lax-Wendroff (LW) type time discretization as an alternative procedure to the high order Runge-Kutta time discretization adopted for the high order essentially non-oscillatory (ENO) Lagrangian schemes developed in [3,5]. The LW time discretization is based on a Taylor expansion in time, coupled with a local Cauchy-Kowalewski procedure to utilize the partial differential equation (PDE) repeatedly to convert all time derivatives to spatial derivatives, and then to discretize these spatial derivatives based on high order ENO reconstruction. Extensive numerical examples are presented, for both the second-order spatial discretization using quadrilateral meshes 131 and third-order spatial discretization using curvilinear meshes [5]. Comparing with the Runge-Kutta time discretization procedure, an advantage of the LW time discretization is the apparent saving in computational cost and memory requirement, at least for the two-dimensional Euler equations that we have used in the numerical tests. (C) 2009 Elsevier Inc. All rights reserved.
关键词	Lagrangian scheme Lax-Wendroff type time discretization High order accuracy Conservative scheme ENO reconstruction ALE method
DOI	10.1016/j.jcp.2009.09.001
语种	英语
资助项目	NSFC[10972043] ; NSFC[10931004] ; National Basic Research Program of China[2005CB321702] ; AFOSR[FA9550-09-1-0126] ; NSF[DMS-0809086]
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000271671100020
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7696
专题	中国科学院数学与系统科学研究院
通讯作者	Shu, Chi-Wang
作者单位	1.Brown Univ, Div Appl Math, Providence, RI 02912 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 3.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
推荐引用方式 GB/T 7714	Liu, Wei,Cheng, Juan,Shu, Chi-Wang. High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2009,228(23):8872-8891.
APA	Liu, Wei,Cheng, Juan,&Shu, Chi-Wang.(2009).High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations.JOURNAL OF COMPUTATIONAL PHYSICS,228(23),8872-8891.
MLA	Liu, Wei,et al."High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations".JOURNAL OF COMPUTATIONAL PHYSICS 228.23(2009):8872-8891.