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

doi:10.1016/j.amc.2012.08.038

CORC > 北京大学 > 工学院

	A local space-time conservation scheme and its application in shock wave propagation
	Shen, Hua ; Liu, Kaixin ; Zhang, Deliang
刊名	applied mathematics and computation
	2012
关键词	Space-time conservation Non-staggered grids CE/SE method Shock wave SOLUTION ELEMENT METHOD EULER EQUATIONS RESOLUTION DIFFUSION SYSTEMS LAWS
DOI	10.1016/j.amc.2012.08.038
英文摘要	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. (C) 2012 Elsevier Inc. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000310504000051&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; SCI(E); EI; 1; ARTICLE; 4; 1958-1974; 219
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/154573]
专题	工学院
推荐引用方式 GB/T 7714	Shen, Hua,Liu, Kaixin,Zhang, Deliang. A local space-time conservation scheme and its application in shock wave propagation[J]. applied mathematics and computation,2012.
APA	Shen, Hua,Liu, Kaixin,&Zhang, Deliang.(2012).A local space-time conservation scheme and its application in shock wave propagation.applied mathematics and computation.
MLA	Shen, Hua,et al."A local space-time conservation scheme and its application in shock wave propagation".applied mathematics and computation (2012).