| A local space-time conservation scheme and its application in shock wave propagation | |
Shen, Hua1,2 ; Liu, Kaixin1,2; Zhang, Deliang3; Liu, KX
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| Source Publication | APPLIED MATHEMATICS AND COMPUTATION
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| 2012-11-01 | |
| Volume | 219Issue:4Pages:1958-1974 |
| ISSN | 0096-3003 |
| Abstract | 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. |
| Keyword | Space-time Conservation Non-staggered Grids Ce/se Method Shock Wave |
| Subject Area | 计算流体力学 |
| DOI | 10.1016/j.amc.2012.08.038 |
| URL | 查看原文 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000310504000051 |
| WOS Keyword | SOLUTION ELEMENT METHOD ; EULER EQUATIONS ; RESOLUTION ; DIFFUSION ; SYSTEMS ; LAWS |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| Funding Organization | 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) |
| Department | LHD激波与爆轰物理 |
| Classification | 一类 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/46617 |
| Collection | 高温气体动力学国家重点实验室 |
| Corresponding Author | Liu, KX |
| Affiliation | 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 |
| 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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| SCI-J2012-007.pdf（1664KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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