中文版 | English
Title

Well-balanced schemes for the shallow water equations with Coriolis forces

Author
Corresponding AuthorLukacova-Medvid'ova, Maria
Publication Years
2018-04
DOI
Source Title
ISSN
0029-599X
EISSN
0945-3245
Volume138Issue:4Pages:939-973
Abstract
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.
URL[Source Record]
Indexed By
Language
English
SUSTech Authorship
Others
Funding Project
German Science Foundation (DFG)[LU 1470/2-3] ; German Science Foundation (DFG)[SFB TRR 165]
WOS Research Area
Mathematics
WOS Subject
Mathematics, Applied
WOS Accession No
WOS:000428049800005
Publisher
ESI Research Field
MATHEMATICS
Data Source
Web of Science
Citation statistics
Cited Times [WOS]:20
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/27883
DepartmentDepartment of Mathematics
工学院_材料科学与工程系
Affiliation
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
Recommended Citation
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.
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.
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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