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

文献类型：期刊论文

作者Gu, Anjiao2,3; He, Yang1; Sun, Yajuan2,3
刊名JOURNAL OF COMPUTATIONAL PHYSICS
出版日期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
DOI10.1016/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
WOS记录号WOS:000889013900003
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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