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题名

New Low-Dissipation Central-Upwind Schemes

作者
通讯作者Kurganov, Alexander
发表日期
2023-08-01
DOI
发表期刊
ISSN
0885-7474
EISSN
1573-7691
卷号96期号:2
摘要
In this paper, we develop new second-order low-dissipation central-upwind (LDCU) schemes for hyperbolic systems of conservation laws. Like all of the Godunov-type schemes, the proposed LDCU schemes are developed in three steps: reconstruction, evolution, and projection. A major novelty of our approach is in the projection step, which is based on a subcell resolution and designed to sharper approximate contact waves while ensuring a non-oscillatory property of the projected solution. In order to achieve this goal, we take into account properties of the contact waves. We design the LDCU schemes for both the one- and two-dimensional Euler equations of gas dynamics. The new schemes are tested on a variety of numerical examples. The obtained results clearly demonstrate that the proposed LDCU schemes contain substantially smaller amount of numerical dissipation and achieve higher resolution compared with their existing counterparts.
关键词
相关链接[来源记录]
收录类别
SCI ; EI
语种
英语
学校署名
第一 ; 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:001022978100001
出版者
EI入藏号
20232714364527
EI主题词
Gas dynamics ; Physical properties
EI分类号
Fluid Flow, General:631.1 ; Gas Dynamics:631.1.2 ; Mathematics:921 ; Physical Properties of Gases, Liquids and Solids:931.2
ESI学科分类
MATHEMATICS
来源库
Web of Science
引用统计
被引频次[WOS]:5
成果类型期刊论文
条目标识符http://sustech.caswiz.com/handle/2SGJ60CL/549374
专题理学院_数学系
作者单位
1.Southern Univ Sci & Technol, Shenzhen Int Ctr Math, Dept Math, Shenzhen 518055, Peoples R China
2.Southern Univ Sci & Technol, Guangdong Prov Key Lab Computat Sci & Mat Design, Shenzhen 518055, Peoples R China
第一作者单位数学系;  南方科技大学
通讯作者单位数学系;  南方科技大学
第一作者的第一单位数学系
推荐引用方式
GB/T 7714
Kurganov, Alexander,Xin, Ruixiao. New Low-Dissipation Central-Upwind Schemes[J]. JOURNAL OF SCIENTIFIC COMPUTING,2023,96(2).
APA
Kurganov, Alexander,&Xin, Ruixiao.(2023).New Low-Dissipation Central-Upwind Schemes.JOURNAL OF SCIENTIFIC COMPUTING,96(2).
MLA
Kurganov, Alexander,et al."New Low-Dissipation Central-Upwind Schemes".JOURNAL OF SCIENTIFIC COMPUTING 96.2(2023).
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