南方科技大学知识苑(SUSTech KC): A FLUX GLOBALIZATION BASED WELL-BALANCED PATH-CONSERVATIVE CENTRAL-UPWIND SCHEME FOR THE SHALLOW WATER FLOWS IN CHANNELS

题名	A FLUX GLOBALIZATION BASED WELL-BALANCED PATH-CONSERVATIVE CENTRAL-UPWIND SCHEME FOR THE SHALLOW WATER FLOWS IN CHANNELS
作者	Chen, Yiming 1; Kurganov, Alexander2,3 ; Na, Mingye 4
通讯作者	Na, Mingye
发表日期	2023-04-12
DOI	10.1051/m2an/2023009
发表期刊	ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS 影响因子和分区
ISSN	2822-7840
EISSN	2804-7214
卷号	57 期号:2页码:1087-1110
摘要	We develop a flux globalization based well-balanced (WB) path-conservative central-upwind (PCCU) scheme for the one-dimensional shallow water flows in channels. Challenges in developing numerical methods for the studied system are mainly related to the presence of nonconservative terms modeling the flow when the channel width and bottom topography are discontinuous. We use the path-conservative technique to treat these nonconservative product terms and implement this technique within the flux globalization framework, for which the friction and aforementioned nonconservative terms are incorporated into the global flux: This results in a quasi-conservative system, which is numerically solved using the Riemann-problem-solver-free central-upwind scheme. The WB property of the resulting scheme (that is, its ability to exactly preserve both still- and moving-water equilibria at the discrete level) is ensured by performing piecewise linear reconstruction for the equilibrium variables rather than the conservative variables, and then evaluating the global flux using the obtained point values of the equilibrium quantities. The robustness and excellent performance of the proposed flux globalization based WB PCCU scheme are demonstrated in several numerical examples with both continuous and discontinuous channel width and bottom topography. In these examples, we clearly demonstrate the advantage of the proposed scheme over its simpler counterparts.
关键词	Shallow water flows in channels steady-state solutions well-balanced methods semi-discrete central-upwind schemes flux globalization path-conservative central-upwind schemes
相关链接	[来源记录]
收录类别	SCI ; EI
语种	英语
学校署名	通讯
资助项目	NSFC["12171226","12111530004"] ; Guangdong Provincial Key Laboratory of Computational Science and Material Design[2019B030301001]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000970185600002
出版者	EDP SCIENCES S A
EI入藏号	20231714012256
EI主题词	Flow of water ; Numerical methods ; Piecewise linear techniques ; Topography
EI分类号	Liquid Dynamics:631.1.1 ; Hydraulics:632.1 ; Combinatorial Mathematics, Includes Graph Theory, Set Theory:921.4 ; Numerical Methods:921.6 ; Materials Science:951
ESI学科分类	MATHEMATICS
来源库	Web of Science
引用统计	被引频次[WOS]：2
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/536140
专题	理学院_数学系
作者单位	1.Ohio State Univ, Dept Math, Columbus, OH 43210 USA 2.Southern Univ Sci & Technol, SUSTech Int Ctr Math, Dept Math, Shenzhen 518055, Peoples R China 3.Southern Univ Sci & Technol, Guangdong Prov Key Lab Computat Sci & Mat Design, Shenzhen 518055, Peoples R China 4.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China
通讯作者单位	数学系
推荐引用方式 GB/T 7714	Chen, Yiming,Kurganov, Alexander,Na, Mingye. A FLUX GLOBALIZATION BASED WELL-BALANCED PATH-CONSERVATIVE CENTRAL-UPWIND SCHEME FOR THE SHALLOW WATER FLOWS IN CHANNELS[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS,2023,57(2):1087-1110.
APA	Chen, Yiming,Kurganov, Alexander,&Na, Mingye.(2023).A FLUX GLOBALIZATION BASED WELL-BALANCED PATH-CONSERVATIVE CENTRAL-UPWIND SCHEME FOR THE SHALLOW WATER FLOWS IN CHANNELS.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS,57(2),1087-1110.
MLA	Chen, Yiming,et al."A FLUX GLOBALIZATION BASED WELL-BALANCED PATH-CONSERVATIVE CENTRAL-UPWIND SCHEME FOR THE SHALLOW WATER FLOWS IN CHANNELS".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS 57.2(2023):1087-1110.