A local space-time conservation scheme and its application in shock wave propagation

doi:10.1016/j.amc.2012.08.038

	A local space-time conservation scheme and its application in shock wave propagation
	Shen, Hua1,2 ; Liu, Kaixin1,2 ; Zhang, Deliang3 ; Liu, KX
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
	2012-11-01
卷号	219 期号:4 页码:1958-1974
ISSN	0096-3003
摘要	In this paper, a local space-time conservation scheme based on non-staggered grids is introduced which is a variation of Space-Time Conservation Element and Solution Element (CE/SE) scheme. It inherits most features and advantages of CE/SE method, including unified treatment of space and time, and high-accuracy resolution of hyperbolic conservation equations. Moreover, Riemann solvers are not needed to capture shocks, and dimensional splitting methods are not needed in the multi-dimensional schemes. The stability of the present scheme is verified through von Neumann analysis. Moreover, several shock wave problems including one-, two-, and three-dimensional cases are simulated by the present scheme. By carefully comparing the present scheme's numerical results with exact solutions, experimental results, original CE/SE scheme's numerical results and third-order ENO scheme's numerical results, it can be conclude that, the present scheme is efficient and accurate.; In this paper, a local space-time conservation scheme based on non-staggered grids is introduced which is a variation of Space-Time Conservation Element and Solution Element (CE/SE) scheme. It inherits most features and advantages of CE/SE method, including unified treatment of space and time, and high-accuracy resolution of hyperbolic conservation equations. Moreover, Riemann solvers are not needed to capture shocks, and dimensional splitting methods are not needed in the multi-dimensional schemes. The stability of the present scheme is verified through von Neumann analysis. Moreover, several shock wave problems including one-, two-, and three-dimensional cases are simulated by the present scheme. By carefully comparing the present scheme's numerical results with exact solutions, experimental results, original CE/SE scheme's numerical results and third-order ENO scheme's numerical results, it can be conclude that, the present scheme is efficient and accurate. (C) 2012 Elsevier Inc. All rights reserved.
关键词	Space-time Conservation Non-staggered Grids Ce/se Method Shock Wave
学科领域	计算流体力学
DOI	10.1016/j.amc.2012.08.038
URL	查看原文
收录类别	SCI
语种	英语
WOS记录号	WOS:000310504000051
关键词[WOS]	SOLUTION ELEMENT METHOD ; EULER EQUATIONS ; RESOLUTION ; DIFFUSION ; SYSTEMS ; LAWS
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
项目资助者	National Natural Science Foundation of China(10732010 ; The authors gratefully acknowledge the financial support of the National Natural Science Foundation of China (Grant Nos. 10732010, 10972010 and 11028206). ; 10972010 ; 11028206)
课题组名称	LHD激波与爆轰物理
论文分区	一类
引用统计	被引频次：2[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/46617
专题	高温气体动力学国家重点实验室
通讯作者	Liu, KX
作者单位	1.Peking Univ, Coll Engn, Dept Mech & Aerosp Engn, LTCS, Beijing 100871, Peoples R China 2.Peking Univ, Ctr Appl Phys & Technol, Beijing 100871, Peoples R China 3.Chinese Acad Sci, Inst Mech, LHD, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Shen, Hua,Liu, Kaixin,Zhang, Deliang,et al. A local space-time conservation scheme and its application in shock wave propagation[J]. APPLIED MATHEMATICS AND COMPUTATION,2012,219,4,:1958-1974.
APA	Shen, Hua,Liu, Kaixin,Zhang, Deliang,&Liu, KX.(2012).A local space-time conservation scheme and its application in shock wave propagation.APPLIED MATHEMATICS AND COMPUTATION,219(4),1958-1974.
MLA	Shen, Hua,et al."A local space-time conservation scheme and its application in shock wave propagation".APPLIED MATHEMATICS AND COMPUTATION 219.4(2012):1958-1974.

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