| Title | Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Models |
| Author | |
| Corresponding Author | Liu, Yongle |
| Publication Years | 2022-08-01
|
| DOI | |
| Source Title | |
| ISSN | 0885-7474
|
| EISSN | 1573-7691
|
| Volume | 92Issue:2 |
| Abstract | We extend recently proposed flux globalization based well-balanced path-conservative central-upwind schemes to several shallow water models including the Saint-Vevant system with and without the Manning friction term and rotating shallow water equations. We focus on development of the well-balanced schemes capable of exactly preserving quite complicated steady-state solutions the studied systems admit when the bottom topography is discontinuous. In such cases, nonconservative product terms naturally appear and they require a special treatment. To this end, we incorporate the nonconservative product terms into the global fluxes using the path-conservative technique implemented within a framework of simple-yet highly accurate and robust-Riemann-problem-solver-free central-upwind schemes. This results in new flux globalization based central-upwind schemes, which are more accurate than their existing counterparts. The advantages of the proposed schemes are demonstrated on a number of numerical examples. |
| Keywords | |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | First
; Corresponding
|
| Funding Project | NSFC["12171226","12111530004"]
; Guangdong Provincial Key Laboratory of Computational Science and Material Design[2019B030301001]
|
| WOS Research Area | Mathematics
|
| WOS Subject | Mathematics, Applied
|
| WOS Accession No | WOS:000822494100001
|
| Publisher | |
| EI Accession Number | 20222812344596
|
| EI Keywords | Topography
|
| ESI Classification Code | Calculus:921.2
; Materials Science:951
|
| ESI Research Field | MATHEMATICS
|
| Data Source | Web of Science
|
| Citation statistics |
Cited Times [WOS]:3
|
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/355842 |
| Department | Department of Mathematics |
| Affiliation | 1.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China 2.Southern Univ Sci & Technol, Dept Math, SUSTech Int Ctr Math, Shenzhen 518055, Peoples R China 3.Southern Univ Sci & Technol, Guangdong Prov Key Lab Computat Sci & Mat Design, Shenzhen 518055, Peoples R China |
| First Author Affilication | Department of Mathematics |
| Corresponding Author Affilication | Department of Mathematics |
| First Author's First Affilication | Department of Mathematics |
| Recommended Citation GB/T 7714 |
Cao, Yangyang,Kurganov, Alexander,Liu, Yongle,et al. Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Models[J]. JOURNAL OF SCIENTIFIC COMPUTING,2022,92(2).
|
| APA |
Cao, Yangyang,Kurganov, Alexander,Liu, Yongle,&Xin, Ruixiao.(2022).Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Models.JOURNAL OF SCIENTIFIC COMPUTING,92(2).
|
| MLA |
Cao, Yangyang,et al."Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Models".JOURNAL OF SCIENTIFIC COMPUTING 92.2(2022).
|
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