南方科技大学知识苑(SUSTech KC): Flux globalization-based well-balanced path-conservative central-upwind scheme for two-dimensional two-layer thermal rotating shallow water equations

题名	Flux globalization-based well-balanced path-conservative central-upwind scheme for two-dimensional two-layer thermal rotating shallow water equations
作者	Cao, Yangyang 1; Kurganov, Alexander2,3 ; Liu, Yongle 4; Zeitlin, Vladimir 5,6
通讯作者	Liu, Yongle
发表日期	2024-10-15
DOI	10.1016/j.jcp.2024.113273
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS 影响因子和分区
ISSN	0021-9991
EISSN	1090-2716
卷号	515
摘要	We develop a flux globalization-based well-balanced path-conservative central-upwind scheme on Cartesian meshes for the two-dimensional (2-D) two-layer thermal rotating shallow water equations. The scheme is well-balanced in the sense that it can exactly preserve a variety of physically relevant steady states. In the 2-D case, preserving general "moving-water" steady states is difficult, and to the best of our knowledge, none of existing schemes can achieve this ultimate goal. The proposed scheme can exactly preserve the x- and y-directional jets in the rotational frame as well as certain genuinely 2-D equilibria. Numerical experiments demonstrate the performance of the proposed scheme in computationally non-trivial situations: in the presence of shocks, dry areas, non-trivial topographies, including discontinuous ones, and in the case of hyperbolicity loss. The scheme works equally well in both the f-plane and beta-plane frameworks.
关键词	Two-layer thermal rotating shallow water equations Well-balanced 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	其他
资助项目	NSFC[12171226] ; Guangdong Provincial Key Laboratory Of Computational Science And Material Design[2019B030301001] ; SNSF["200020_ 204917","FZEB-0-166980"]
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:001279772400001
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
EI入藏号	20243016756077
EI主题词	Computational methods
EI分类号	Calculus:921.2
ESI学科分类	PHYSICS
来源库	Web of Science
引用统计
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/790082
专题	理学院_数学系南方科技大学
作者单位	1.Shenzhen MSU BIT Univ, MSU BIT SMBU Joint Res Ctr Appl Math, Shenzhen 518172, Peoples R China 2.Southern Univ Sci & Technol, Shenzhen 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.Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland 5.Sorbonne Univ, Ecole Normale Super, Lab Dynam Meteorol, F-75005 Paris, France 6.Southern Univ Sci & Technol, Shenzhen Int Ctr Math, Shenzhen 518055, Peoples R China
推荐引用方式 GB/T 7714	Cao, Yangyang,Kurganov, Alexander,Liu, Yongle,et al. Flux globalization-based well-balanced path-conservative central-upwind scheme for two-dimensional two-layer thermal rotating shallow water equations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2024,515.
APA	Cao, Yangyang,Kurganov, Alexander,Liu, Yongle,&Zeitlin, Vladimir.(2024).Flux globalization-based well-balanced path-conservative central-upwind scheme for two-dimensional two-layer thermal rotating shallow water equations.JOURNAL OF COMPUTATIONAL PHYSICS,515.
MLA	Cao, Yangyang,et al."Flux globalization-based well-balanced path-conservative central-upwind scheme for two-dimensional two-layer thermal rotating shallow water equations".JOURNAL OF COMPUTATIONAL PHYSICS 515(2024).