南方科技大学知识苑(SUSTech KC): Numerical dissipation switch for two-dimensional central-upwind schemes

题名	Numerical dissipation switch for two-dimensional central-upwind schemes
作者	Kurganov，Alexander1,2 ; Liu，Yongle1,3 ; Zeitlin，Vladimir 1,4
通讯作者	Liu，Yongle
发表日期	2021-05-01
DOI	10.1051/m2an/2021009
发表期刊	ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 影响因子和分区
ISSN	0764-583X
EISSN	1290-3841
卷号	55 期号:3页码:713-734
摘要	We propose a numerical dissipation switch, which helps to control the amount of numerical dissipation present in central-upwind schemes. Our main goal is to reduce the numerical dissipation without risking oscillations. This goal is achieved with the help of a more accurate estimate of the local propagation speeds in the parts of the computational domain, which are near contact discontinuities and shears. To this end, we introduce a switch parameter, which depends on the distributions of energy in the x-and y-directions. The resulting new central-upwind is tested on a number of numerical examples, which demonstrate the superiority of the proposed method over the original central-upwind scheme.
关键词	Central-upwind schemes Euler equations of gas dynamics Local speeds of propagation Numerical dissipation Thermal rotating shallow water equations
相关链接	[Scopus记录]
收录类别	SCI ; EI
语种	英语
学校署名	第一 ; 通讯
WOS记录号	WOS:000647254500001
EI入藏号	20212010358805
EI主题词	Mathematical models ; Numerical analysis
EI分类号	Numerical Methods:921.6
ESI学科分类	MATHEMATICS
Scopus记录号	2-s2.0-85105727652
来源库	Scopus
引用统计	被引频次[WOS]：9
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/228448
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.Department of Mathematics,Southern University of Science and Technology,Shenzhen,518055,China 2.SUSTech International Center for Mathematics,Southern University of Science and Technology,Shenzhen,518055,China 3.Department of Mathematics,Harbin Institute of Technology,Harbin,150001,China 4.Laboratoire de Météorologie Dynamique,Sorbonne Université (SU),Ecole Normale Supérieure (ENS),Cnrs,Paris,75231,France
第一作者单位	数学系; 深圳国际数学中心（杰曼诺夫数学中心）（筹）
通讯作者单位	数学系
第一作者的第一单位	数学系
推荐引用方式 GB/T 7714	Kurganov，Alexander,Liu，Yongle,Zeitlin，Vladimir. Numerical dissipation switch for two-dimensional central-upwind schemes[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2021,55(3):713-734.
APA	Kurganov，Alexander,Liu，Yongle,&Zeitlin，Vladimir.(2021).Numerical dissipation switch for two-dimensional central-upwind schemes.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,55(3),713-734.
MLA	Kurganov，Alexander,et al."Numerical dissipation switch for two-dimensional central-upwind schemes".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 55.3(2021):713-734.