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Solving the Vlasov-Maxwell equations using Hamiltonian splitting

文献类型：期刊论文

作者Li, Yingzhe1,7; He, Yang6; Sun, Yajuan1,7; Niesen, Jitse5; Qin, Hong3,4; Liu, Jian2,4
刊名JOURNAL OF COMPUTATIONAL PHYSICS
出版日期2019-11-01
卷号396页码:381-399
关键词Vlasov-Maxwell system Poisson bracket Hamiltonian splitting method
ISSN号0021-9991
DOI10.1016/j.jcp.2019.06.070
英文摘要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.
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
语种英语
WOS记录号WOS:000481732600020
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/35418]  
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.Chinese Acad Sci, Key Lab Geospace Environm, Hefei 230026, Anhui, Peoples R China
3.Princeton Univ, Plasma Phys Lab, POB 451, Princeton, NJ 08543 USA
4.Univ Sci & Technol China, Dept Engn & Appl Phys, Hefei 230026, Anhui, Peoples R China
5.Univ Leeds, Dept Appl Math, Leeds LS2 9JT, W Yorkshire, England
6.Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China
7.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, 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.

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来源：数学与系统科学研究院

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