| 题名 | Well-balanced schemes for the shallow water equations with Coriolis forces |
| 作者 | |
| 通讯作者 | Lukacova-Medvid'ova, Maria |
| 发表日期 | 2018-04
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| DOI | |
| 发表期刊 | |
| ISSN | 0029-599X
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| EISSN | 0945-3245
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| 卷号 | 138期号:4页码:939-973 |
| 摘要 | In the present paper we study shallow water equations with bottom topography and Coriolis forces. The latter yield non-local potential operators that need to be taken into account in order to derive a well-balanced numerical scheme. In order to construct a higher order approximation a crucial step is a well-balanced reconstruction which has to be combined with a well-balanced update in time. We implement our newly developed second-order reconstruction in the context of well-balanced central-upwind and finite-volume evolution Galerkin schemes. Theoretical proofs and numerical experiments clearly demonstrate that the resulting finite-volume methods preserve exactly the so-called jets in the rotational frame. For general two-dimensional geostrophic equilibria the well-balanced methods, while not preserving the equilibria exactly, yield better resolution than their non-well-balanced counterparts. |
| 相关链接 | [来源记录] |
| 收录类别 | |
| 语种 | 英语
|
| 学校署名 | 其他
|
| 资助项目 | German Science Foundation (DFG)[LU 1470/2-3]
; German Science Foundation (DFG)[SFB TRR 165]
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| WOS研究方向 | Mathematics
|
| WOS类目 | Mathematics, Applied
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| WOS记录号 | WOS:000428049800005
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| 出版者 | |
| ESI学科分类 | MATHEMATICS
|
| 来源库 | Web of Science
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| 引用统计 |
被引频次[WOS]：29
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| 成果类型 | 期刊论文 |
| 条目标识符 | http://kc.sustech.edu.cn/handle/2SGJ60CL/27883 |
| 专题 | 理学院_数学系 工学院_材料科学与工程系 |
| 作者单位 | 1.North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA 2.Helmut Schmidt Univ, Fed Armed Forces Hamburg, Dept Theory Elect Engn, D-22043 Hamburg, Germany 3.Southern Univ Sci & Technol China, Dept Math, Shenzhen 518055, Peoples R China 4.Tulane Univ, Dept Math, New Orleans, LA 70118 USA 5.Johannes Gutenberg Univ Mainz, Inst Math, Staudingerweg 9, D-55099 Mainz, Germany |
| 推荐引用方式 GB/T 7714 |
Chertock, Alina,Dudzinski, Michael,Kurganov, Alexander,et al. Well-balanced schemes for the shallow water equations with Coriolis forces[J]. NUMERISCHE MATHEMATIK,2018,138(4):939-973.
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| APA |
Chertock, Alina,Dudzinski, Michael,Kurganov, Alexander,&Lukacova-Medvid'ova, Maria.(2018).Well-balanced schemes for the shallow water equations with Coriolis forces.NUMERISCHE MATHEMATIK,138(4),939-973.
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| MLA |
Chertock, Alina,et al."Well-balanced schemes for the shallow water equations with Coriolis forces".NUMERISCHE MATHEMATIK 138.4(2018):939-973.
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| 条目包含的文件 | 条目无相关文件。 | |||||
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