Hamiltonian Particle-in-Cell methods for Vlasov-Poisson equations | |
Gu, Anjiao2,3; He, Yang1; Sun, Yajuan2,3 | |
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. |
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