南方科技大学知识苑(SUSTech KC): Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts

题名	Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts
作者	Chertock, Alina 1; Kurganov, Alexander2,3 ; Liu, Xin 4,5; Liu, Yongle6,7 ; Wu, Tong 8
通讯作者	Liu, Yongle
发表日期	2022
DOI	10.1007/s10915-021-01680-z
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING 影响因子和分区
ISSN	0885-7474
EISSN	1573-7691
卷号	90 期号:1
摘要	We study the flux globalization based central-upwind scheme from Cheng et al. (J Sci Comput 80:538-554, 2019) for the Saint-Venant system of shallow water equations. We first show that while the scheme is capable of preserving moving-water equilibria, it fails to preserve much simpler "lake-at-rest" steady states. We then modify the computation of the global flux variable and develop a well-balanced scheme, which can accurately handle both still- and moving-water equilibria. In addition, we extend the flux globalization based central-upwind scheme to the case when "dry" and/or "almost dry" areas are present. To this end, we introduce a hybrid approach: we use the flux globalization based scheme inside the "wet" areas only, while elsewhere we apply the central-upwind scheme from Bollermann et al. (J Sci Comput 56:267-290, 2013), which is designed to accurately capture wet/dry fronts. We illustrate the performance of the proposed schemes on a number of numerical examples.
关键词	Flux globalization Central-upwind schemes Well-balanced schemes "Lake-at-rest" steady states "Dry lake" steady states
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	NSF[DMS-1818684] ; NSFC[11771201,1201101343] ; 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:000720725300001
出版者	SPRINGER/PLENUM PUBLISHERS
EI入藏号	20214711218811
EI主题词	Equations of motion
EI分类号	Calculus:921.2
ESI学科分类	MATHEMATICS
来源库	Web of Science
引用统计	被引频次[WOS]：17
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/256825
专题	理学院_数学系深圳国际数学中心（杰曼诺夫数学中心）（筹）
作者单位	1.North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA 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 4.Environm & Climate Change Canada, Numer Environm Predict Sect, Dorval, PQ H9P 1J3, Canada 5.Univ Ottawa, Dept Civil Engn, Ottawa, ON K1N 6N5, Canada 6.Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China 7.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China 8.Univ Texas San Antonio, Dept Math, San Antonio, TX 78249 USA
通讯作者单位	数学系
推荐引用方式 GB/T 7714	Chertock, Alina,Kurganov, Alexander,Liu, Xin,et al. Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts[J]. JOURNAL OF SCIENTIFIC COMPUTING,2022,90(1).
APA	Chertock, Alina,Kurganov, Alexander,Liu, Xin,Liu, Yongle,&Wu, Tong.(2022).Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts.JOURNAL OF SCIENTIFIC COMPUTING,90(1).
MLA	Chertock, Alina,et al."Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts".JOURNAL OF SCIENTIFIC COMPUTING 90.1(2022).