Solving the Vlasov-Maxwell equations using Hamiltonian splitting

doi:10.1016/j.jcp.2019.06.070

	Solving the Vlasov-Maxwell equations using Hamiltonian splitting
	Li, Yingzhe 1,2; He, Yang 3; Sun, Yajuan1,2 ; Niesen, Jitse 4; Qin, Hong 5,6; Liu, Jian 5,7
	2019-11-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	396 页码:381-399
摘要	In this paper, the numerical discretizations based on Hamiltonian splitting for solving the Vlasov-Maxwell system are constructed. We reformulate the Vlasov-Maxwell system in Morrison-Marsden-Weinstein Poisson bracket form. Then the Hamiltonian of this system is split into five parts, with which five corresponding Hamiltonian subsystems are obtained. The splitting method in time is derived by composing the solutions to these five subsystems. Combining the splitting method in time with the Fourier spectral method and finite volume method in space gives the full numerical discretizations which possess good conservation for the conserved quantities including energy, momentum, charge, etc. In numerical experiments, we simulate the Landau damping, Weibel instability and Bernstein wave to verify the numerical algorithms. (C) 2019 Elsevier Inc. All rights reserved.
关键词	Vlasov-Maxwell system Poisson bracket Hamiltonian splitting method
DOI	10.1016/j.jcp.2019.06.070
语种	英语
资助项目	National Natural Science Foundation of China[11771436] ; National Natural Science Foundation of China[11261140328] ; National Natural Science Foundation of China[11305171] ; National Natural Science Foundation of China[11505185] ; CAS Program for Interdisciplinary Collaboration Team ; Foundation for Innovative Research Groups of the National Natural Science Foundation of China[11321061] ; ITER-China Program[2014GB124005] ; ITER-China Program[2015GB111003] ; JSPS-NRF-NSFC A3 Foresight Program in the field of Plasma Physics[NSFC-11261140328] ; Fundamental Research Funds for the Central Universities[FRF-TP-16-066A1] ; Royal Society (London)[IE141408]
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000481732600020
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35419
专题	计算数学与科学工程计算研究所
通讯作者	Sun, Yajuan
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China 4.Univ Leeds, Dept Appl Math, Leeds LS2 9JT, W Yorkshire, England 5.Univ Sci & Technol China, Dept Engn & Appl Phys, Hefei 230026, Anhui, Peoples R China 6.Princeton Univ, Plasma Phys Lab, POB 451, Princeton, NJ 08543 USA 7.Chinese Acad Sci, Key Lab Geospace Environm, Hefei 230026, Anhui, Peoples R China
推荐引用方式 GB/T 7714	Li, Yingzhe,He, Yang,Sun, Yajuan,et al. Solving the Vlasov-Maxwell equations using Hamiltonian splitting[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2019,396:381-399.
APA	Li, Yingzhe,He, Yang,Sun, Yajuan,Niesen, Jitse,Qin, Hong,&Liu, Jian.(2019).Solving the Vlasov-Maxwell equations using Hamiltonian splitting.JOURNAL OF COMPUTATIONAL PHYSICS,396,381-399.
MLA	Li, Yingzhe,et al."Solving the Vlasov-Maxwell equations using Hamiltonian splitting".JOURNAL OF COMPUTATIONAL PHYSICS 396(2019):381-399.