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A local space-time conservation scheme and its application in shock wave propagation
Shen, Hua1,2; Liu, Kaixin1,2; Zhang, Deliang3; Liu, KX
Source PublicationAPPLIED MATHEMATICS AND COMPUTATION
2012-11-01
Volume219Issue:4Pages:1958-1974
ISSN0096-3003
AbstractIn 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.
KeywordSpace-time Conservation Non-staggered Grids Ce/se Method Shock Wave
Subject Area计算流体力学
DOI10.1016/j.amc.2012.08.038
URL查看原文
Indexed BySCI
Language英语
WOS IDWOS:000310504000051
WOS KeywordSOLUTION ELEMENT METHOD ; EULER EQUATIONS ; RESOLUTION ; DIFFUSION ; SYSTEMS ; LAWS
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
Funding OrganizationNational 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)
DepartmentLHD激波与爆轰物理
Classification一类
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Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/46617
Collection高温气体动力学国家重点实验室
Corresponding AuthorLiu, KX
Affiliation1.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
Recommended Citation
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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