A local space-time conservation scheme and its application in shock wave propagation
文献类型：期刊论文
| 作者 | Shen, Hua1,2 ; Liu, Kaixin1,2; Zhang, Deliang3; Liu, KX
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| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2012-11-01 |
| 卷号 | 219期号:4页码:1958-1974 |
| 通讯作者邮箱 | shenhua@pku.edu.cn;kliu@pku.edu.cn; dlzhang@imech.ac.cn |
| 关键词 | Space-time conservation Non-staggered grids CE/SE method Shock wave |
| ISSN号 | 0096-3003 |
| 产权排序 | [Shen, Hua;Liu, Kaixin] Peking Univ, Coll Engn, Dept Mech & Aerosp Engn, LTCS, Beijing 100871, Peoples R China; [Shen, Hua; Liu, Kaixin] Peking Univ, Ctr Appl Phys & Technol, Beijing 100871, Peoples R China; [Zhang, Deliang] Chinese Acad Sci, Inst Mech, LHD, Beijing 100080, Peoples R China |
| 通讯作者 | Liu, KX |
| 合作状况 | 国内 |
| 中文摘要 | 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. |
| 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. |
| 学科主题 | 计算流体力学 |
| 分类号 | 一类 |
| 类目[WOS] | Mathematics, Applied |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | SOLUTION ELEMENT METHOD ; EULER EQUATIONS ; RESOLUTION ; DIFFUSION ; SYSTEMS ; LAWS |
| 收录类别 | SCI |
| 资助信息 | The authors gratefully acknowledge the financial support of the National Natural Science Foundation of China (Grant Nos. 10732010, 10972010 and 11028206). |
| 原文出处 | http://dx.doi.org/10.1016/j.amc.2012.08.038 |
| 语种 | 英语 |
| WOS记录号 | WOS:000310504000051 |
| 公开日期 | 2013-01-18 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/46617]  |
| 专题 | 力学研究所_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. |
入库方式： OAI收割
来源：力学研究所
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