Hamiltonian Particle-in-Cell methods for Vlasov-Poisson equations

doi:10.1016/j.jcp.2022.111472

	Hamiltonian Particle-in-Cell methods for Vlasov-Poisson equations
	Gu, Anjiao 2,3; He, Yang 1; Sun, Yajuan 2,3
刊名	JOURNAL OF COMPUTATIONAL PHYSICS
	2022-10-15
卷号	467 页码:20
关键词	Vlasov-Poisson system Poisson bracket Finite element method Structure-preserving algorithm Hamiltonian splitting method
ISSN号	0021-9991
DOI	10.1016/j.jcp.2022.111472
英文摘要	In this paper, Particle-in-Cell algorithms for the Vlasov-Poisson system are presented based on its Poisson bracket structure. The Poisson equation is solved by finite element methods, in which the appropriate finite element spaces are taken to guarantee that the semi-discretized system possesses a well defined discrete Poisson bracket structure. Then, splitting methods are applied to the semi-discretized system by decomposing the Hamiltonian function. The resulting discretizations are proved to be Poisson bracket preserving. Moreover, the conservative quantities of the system are also well preserved. In numerical experiments, we use the presented numerical methods to simulate various physical phenomena. Due to the huge computational effort of the practical computations, we employ the strategy of parallel computing. The numerical results verify the efficiency of the new derived numerical discretizations. (C) 2022 Elsevier Inc. All rights reserved.
资助项目	National Natural Science Foundation of China[11771436] ; National Natural Science Foundation of China[11505185] ; National Key R&D Program of China[2017YFE0301704]
WOS研究方向	Computer Science ; Physics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000889013900003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60549]
专题	中国科学院数学与系统科学研究院
通讯作者	Sun, Yajuan
作者单位	1.Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Gu, Anjiao,He, Yang,Sun, Yajuan. Hamiltonian Particle-in-Cell methods for Vlasov-Poisson equations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2022,467:20.
APA	Gu, Anjiao,He, Yang,&Sun, Yajuan.(2022).Hamiltonian Particle-in-Cell methods for Vlasov-Poisson equations.JOURNAL OF COMPUTATIONAL PHYSICS,467,20.
MLA	Gu, Anjiao,et al."Hamiltonian Particle-in-Cell methods for Vlasov-Poisson equations".JOURNAL OF COMPUTATIONAL PHYSICS 467(2022):20.