南方科技大学知识苑(SUSTech KC): On the Accuracy of Shock-Capturing Schemes Calculating Gas-Dynamic Shock Waves

题名	On the Accuracy of Shock-Capturing Schemes Calculating Gas-Dynamic Shock Waves
作者	Kolotilov, V. A.1; Kurganov, A. A.2,3,4 ; Ostapenko, V. V.1; Khandeeva, N. A.1; Chu, S.2
通讯作者	Kolotilov, V. A.
发表日期	2023-07-01
DOI	10.1134/S0965542523070060
发表期刊	COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 影响因子和分区
ISSN	0965-5425
EISSN	1555-6662
卷号	63 期号:7
摘要	A comparative experimental accuracy study of three shock-capturing schemes (the second-order CABARET, third-order Rusanov, and fifth-order in space third-order in time A-WENO schemes) is carried out by numerically solving a Cauchy problem with smooth periodic initial data for the Euler equations of gas dynamics. In the studied example, the solution breaks down and shock waves emerge. It is shown that the CABARET and A-WENO schemes, which are constructed using nonlinear limiters as a stabilization mechanism, have approximately the same accuracy in the areas of shock wave influence, while the nonmonotone Rusanov scheme has significantly higher accuracy in these areas despite producing noticeable nonphysical oscillations in the immediate vicinities of shock waves. At the same time, the combined scheme obtained based on the Rusanov and CABARET schemes localizes shock wave fronts, which are captured in a non-oscillatory manner, and preserves higher accuracy in the areas of the shock influence.
关键词	gas dynamic equations shock waves high-order shock-capturing schemes
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	其他
资助项目	RSF[22-11-00060] ; RFBR[21-51-53012] ; NSFC["12111530004","12171226"] ; Guangdong Provincial Key Laboratory of Computational Science and Material Design[2019B030301001]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:001074795400014
出版者	PLEIADES PUBLISHING INC
ESI学科分类	MATHEMATICS
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/582975
专题	理学院_数学系
作者单位	1.Russian Acad Sci, Siberian Branch, Lavrentyev Inst Hydrodynam, Novosibirsk 630090, Russia 2.Southern Univ Sci & Technol, Dept Math, Shenzhen 518005, Peoples R China 3.Southern Univ Sci & Technol, Shenzhen Int Ctr Math, Shenzhen 518005, Peoples R China 4.Southern Univ Sci & Technol, Guangdong Prov Key Lab Computat Sci & Mat Design, Shenzhen 518005, Peoples R China
推荐引用方式 GB/T 7714	Kolotilov, V. A.,Kurganov, A. A.,Ostapenko, V. V.,et al. On the Accuracy of Shock-Capturing Schemes Calculating Gas-Dynamic Shock Waves[J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS,2023,63(7).
APA	Kolotilov, V. A.,Kurganov, A. A.,Ostapenko, V. V.,Khandeeva, N. A.,&Chu, S..(2023).On the Accuracy of Shock-Capturing Schemes Calculating Gas-Dynamic Shock Waves.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS,63(7).
MLA	Kolotilov, V. A.,et al."On the Accuracy of Shock-Capturing Schemes Calculating Gas-Dynamic Shock Waves".COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 63.7(2023).