南方科技大学知识苑(SUSTech KC): Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System

题名	Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System
作者	Chertock, Alina 1; Kurganov, Alexander2,3 ; Liu, Yongle2,4
通讯作者	Liu, Yongle
发表日期	2020-02
DOI	10.4208/cicp.OA-2018-0325
发表期刊	Communications in Computational Physics 影响因子和分区
ISSN	1815-2406
EISSN	1991-7120
卷号	27 期号:2页码:480-502
摘要	We study the two-component Camassa-Holm (2CH) equations as a model for the long time water wave propagation. Compared with the classical Saint-Venant system, it has the advantage of preserving the waves amplitude and shape for a long time. We present two different numerical methods-finite volume (FV) and hybrid finite-volume-particle (FVP) ones. In the FV setup, we rewrite the 2CH equations in a conservative form and numerically solve it by the central-upwind scheme, while in the FVP method, we apply the central-upwind scheme to the density equation only while solving the momentum and velocity equations by a deterministic particle method. Numerical examples are shown to verify the accuracy of both FV and FVP methods. The obtained results demonstrate that the FVP method outperforms the FV method and achieves a superior resolution thanks to a low-diffusive nature of a particle approximation.
关键词	Two-component Camassa-Holm system finite-volume method deterministic particle method finite-volume-particle method central-upwind scheme
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	通讯
资助项目	NSFC[11771201]
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000501534800006
出版者	GLOBAL SCIENCE PRESS
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/50780
专题	理学院_数学系工学院_材料科学与工程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, Shenzhen 518055, Guangdong, Peoples R China 3.Southern Univ Sci & Technol, SUSTech Int Ctr Math, Shenzhen 518055, Guangdong, Peoples R China 4.Harbin Inst Technol, Dept Math, Haerbin 150001, Peoples R China
通讯作者单位	数学系
推荐引用方式 GB/T 7714	Chertock, Alina,Kurganov, Alexander,Liu, Yongle. Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System[J]. Communications in Computational Physics,2020,27(2):480-502.
APA	Chertock, Alina,Kurganov, Alexander,&Liu, Yongle.(2020).Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System.Communications in Computational Physics,27(2),480-502.
MLA	Chertock, Alina,et al."Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System".Communications in Computational Physics 27.2(2020):480-502.