A characteristic space-time conservation element and solution element method for conservation laws

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	A characteristic space-time conservation element and solution element method for conservation laws
	Shen H; Wen CY; Zhang DL(张德良)
刊名	JOURNAL OF COMPUTATIONAL PHYSICS
	2015-05-01
通讯作者邮箱	huashen63@gmail.com ; cywen@polyu.edu.hk
卷号	288 页码:101-118
关键词	Space-time conservation element and solution element (CE/SE) method Upwind scheme Characteristic-based scheme Riemann solver
ISSN号	0021-9991
通讯作者	Wen, CY (reprint author), Hong Kong Polytech Univ, Dept Mech Engn, Kowloon, Hong Kong, Peoples R China.
产权排序	[Shen, Hua; Wen, Chih-Yung] Hong Kong Polytech Univ, Dept Mech Engn, Kowloon, Hong Kong, Peoples R China; [Zhang, De-Liang] Chinese Acad Sci, Inst Mech, LHD, Beijing 100080, Peoples R China
中文摘要	In this paper, an upwind space-time conservation elementand solution element(CE/SE) method is developed to solve conservation laws. In the present method, the mesh quantity and spatial derivatives are the independent marching variables, which is consistent with the original CE/SE method proposed by Chang (1995) [5]. The staggered time marching strategy and the definition of conservation element (CE) also follow Chang's propositions. Nevertheless, the definition of solution element (SE) is modified from that of Chang. The numerical flux through the interface of two different conservation elements is not directly derived by a Taylor expansion in the reversed time direction as proposed by Chang, but determined by an upwind procedure. This modification does not change the local and global conservative features of the original method. Although, the time marching scheme of mesh variables is the same with the original method, the upwind fluxes are involved in the calculation of spatial derivatives, yielding a totally different approach from that of Chang's method. The upwind procedure breaks the space-time inversion invariance of the original scheme, so that the new scheme can be directly applied to capture discontinuities without spurious oscillations. In addition, the present method maintains low dissipation in a wide range of CFL number (from 10(-6) to 1). Furthermore, we extend the upwind CE/SE method to solve the Euler equations by adopting three different approximate Riemann solvers including Harten, Lax and van Leer (HLL) Riemann solver, contact discontinuity restoring HLLC Riemann solver and mathematically rigorous Roe Riemann solver. Extensive numerical examples are carried out to demonstrate the robustness of the present method. The numerical results show that the new CE/SE solvers perform improved resolutions. (C) 2015 Elsevier Inc. Allrightsreserved.
学科主题	Computer Science, Interdisciplinary Applications; Physics, Mathematical
分类号	一类
类目[WOS]	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
研究领域[WOS]	Computer Science ; Physics
关键词[WOS]	GODUNOV-TYPE METHODS ; DIFFERENCE SCHEME ; EULER EQUATIONS ; SYSTEMS ; FLOWS
收录类别	SCI
原文出处	http://dx.doi.org/10.1016/j.jcp.2015.02.018
语种	英语
WOS记录号	WOS:000351079900006
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/49916]
专题	力学研究所_高温气体动力学国家重点实验室
推荐引用方式 GB/T 7714	Shen H,Wen CY,Zhang DL. A characteristic space-time conservation element and solution element method for conservation laws[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2015,288:101-118.
APA	Shen H,Wen CY,&张德良.(2015).A characteristic space-time conservation element and solution element method for conservation laws.JOURNAL OF COMPUTATIONAL PHYSICS,288,101-118.
MLA	Shen H,et al."A characteristic space-time conservation element and solution element method for conservation laws".JOURNAL OF COMPUTATIONAL PHYSICS 288(2015):101-118.