High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations
文献类型：期刊论文
| 作者 | Liu, Wei2; Cheng, Juan3; Shu, Chi-Wang1 |
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2009-12-10 |
| 卷号 | 228期号:23页码:8872-8891 |
| 关键词 | Lagrangian scheme Lax-Wendroff type time discretization High order accuracy Conservative scheme ENO reconstruction ALE method |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2009.09.001 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000271671100020 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7695]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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