KMS Of Academy of mathematics and systems sciences, CAS
| Solving the Vlasov-Maxwell equations using Hamiltonian splitting | |
Li, Yingzhe1,2; He, Yang3; Sun, Yajuan1,2 ; Niesen, Jitse4; Qin, Hong5,6; Liu, Jian5,7
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| 2019-11-01 | |
| Source Publication | JOURNAL OF COMPUTATIONAL PHYSICS
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| ISSN | 0021-9991 |
| Volume | 396Pages:381-399 |
| Abstract | 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. |
| Keyword | Vlasov-Maxwell system Poisson bracket Hamiltonian splitting method |
| DOI | 10.1016/j.jcp.2019.06.070 |
| Language | 英语 |
| Funding Project | 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 Research Area | Computer Science ; Physics |
| WOS Subject | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
| WOS ID | WOS:000481732600020 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/35419 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Sun, Yajuan |
| Affiliation | 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 |
| Recommended Citation 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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