| Title | A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations |
| Author | |
| Corresponding Author | Kurganov, Alexander |
| Publication Years | 2019-07
|
| DOI | |
| Source Title | |
| ISSN | 0885-7474
|
| EISSN | 1573-7691
|
| Volume | 80Issue:1Pages:538-554 |
| Abstract | We construct a new second-order moving-water equilibria preserving central-upwind scheme for the one-dimensional Saint-Venant system of shallow water equations. The idea is based on a reformulation of the source terms as integral in the flux function. Reconstruction of the flux variable yields then a third order equation that can be solved exactly. This procedure does not require any further modification of existing schemes. Several numerical tests are performed to verify the ability of the proposed scheme to accurately capture small perturbations of steady states. |
| Keywords | |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | Corresponding
|
| Funding Project | DFG[HE5386/13-15]
; DFG[EXC128]
|
| WOS Research Area | Mathematics
|
| WOS Subject | Mathematics, Applied
|
| WOS Accession No | WOS:000468983100020
|
| Publisher | |
| EI Accession Number | 20191606797590
|
| EI Keywords | Equations of state
|
| ESI Classification Code | Calculus:921.2
|
| ESI Research Field | MATHEMATICS
|
| Data Source | Web of Science
|
| Citation statistics |
Cited Times [WOS]:25
|
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/25614 |
| Department | Department of Mathematics 工学院_材料科学与工程系 |
| Affiliation | 1.Tulane Univ, Math Dept, New Orleans, LA 70118 USA 2.North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA 3.Rhein Westfal TH Aachen, Dept Math, Templergraben 55, D-52056 Aachen, Germany 4.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China |
| Corresponding Author Affilication | Department of Mathematics |
| Recommended Citation GB/T 7714 |
Cheng, Yuanzhen,Chertock, Alina,Herty, Michael,et al. A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations[J]. JOURNAL OF SCIENTIFIC COMPUTING,2019,80(1):538-554.
|
| APA |
Cheng, Yuanzhen,Chertock, Alina,Herty, Michael,Kurganov, Alexander,&Wu, Tong.(2019).A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations.JOURNAL OF SCIENTIFIC COMPUTING,80(1),538-554.
|
| MLA |
Cheng, Yuanzhen,et al."A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations".JOURNAL OF SCIENTIFIC COMPUTING 80.1(2019):538-554.
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| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| Cheng-2019-A New App（857KB） | Restricted Access | -- | ||||
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