南方科技大学知识苑(SUSTech KC): Local characteristic decomposition based central-upwind scheme

题名	Local characteristic decomposition based central-upwind scheme
作者	Chertock，Alina 1; Chu，Shaoshuai2 ; Herty，Michael 3; Kurganov，Alexander4 ; Lukáčová-Medvid'ová，Mária 5
通讯作者	Chu，Shaoshuai
发表日期	2023-01-15
DOI	10.1016/j.jcp.2022.111718
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS 影响因子和分区
ISSN	0021-9991
EISSN	1090-2716
卷号	473
摘要	We propose novel less diffusive schemes for conservative one- and two-dimensional hyperbolic systems of nonlinear partial differential equations (PDEs). The main challenges in the development of accurate and robust numerical methods for the studied systems come from the complicated wave structures, such as shocks, rarefactions and contact discontinuities, arising even for smooth initial conditions. In order to reduce the diffusion in the original central-upwind schemes, we use a local characteristic decomposition procedure to develop a new class of central-upwind schemes. We apply the developed schemes to the one- and two-dimensional Euler equations of gas dynamics to illustrate the performance on a variety of examples. The obtained numerical results clearly demonstrate that the proposed new schemes outperform the original central-upwind schemes.
关键词	Central-upwind schemes Euler equations of gas dynamics Hyperbolic systems of conservative laws Local characteristic decomposition
相关链接	[Scopus记录]
收录类别	SCI ; EI
语种	英语
学校署名	通讯
资助项目	National Natural Science Foundation of China[12111530004];National Natural Science Foundation of China[12171226];Deutsche Forschungsgemeinschaft[19-2];Deutsche Forschungsgemeinschaft[20021702/GRK2326];Guangdong Provincial Key Laboratory Of Computational Science And Material Design[2019B030301001];Deutsche Forschungsgemeinschaft[22-1];Deutsche Forschungsgemeinschaft[23-1];Deutsche Forschungsgemeinschaft[333849990/IRTG-2379];National Science Foundation[DMS-1818684];National Science Foundation[DMS-2208438];Deutsche Forschungsgemeinschaft[Germany's Excellence Strategy EXC-2023 Internet of Production 390621612];Deutsche Forschungsgemeinschaft[HE5386/18-1];Deutsche Forschungsgemeinschaft[SFB/TRR 146 Multiscale Simulation Methods for Soft Matter Systems];
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000879385400002
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
EI入藏号	20224413017624
EI主题词	Gas dynamics ; Nonlinear equations ; Numerical methods ; Partial differential equations
EI分类号	Fluid Flow, General:631.1 ; Gas Dynamics:631.1.2 ; Mathematics:921 ; Calculus:921.2 ; Numerical Methods:921.6
ESI学科分类	PHYSICS
Scopus记录号	2-s2.0-85140437212
来源库	Scopus
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/411741
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,North Carolina State University,Raleigh,27695,United States 2.Department of Mathematics,Southern University of Science and Technology,Shenzhen,518055,China 3.Department of Mathematics,RWTH Aachen University,Aachen,52056,Germany 4.Department of Mathematics,SUSTech International Center for Mathematics,Guangdong Provincial Key Laboratory of Computational Science and Material Design,Southern University of Science and Technology,Shenzhen,518055,China 5.Institute of Mathematics,University of Mainz,Germany
通讯作者单位	数学系
推荐引用方式 GB/T 7714	Chertock，Alina,Chu，Shaoshuai,Herty，Michael,et al. Local characteristic decomposition based central-upwind scheme[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2023,473.
APA	Chertock，Alina,Chu，Shaoshuai,Herty，Michael,Kurganov，Alexander,&Lukáčová-Medvid'ová，Mária.(2023).Local characteristic decomposition based central-upwind scheme.JOURNAL OF COMPUTATIONAL PHYSICS,473.
MLA	Chertock，Alina,et al."Local characteristic decomposition based central-upwind scheme".JOURNAL OF COMPUTATIONAL PHYSICS 473(2023).