Hamiltonian particle-in-cell methods for Vlasov-Maxwell equations

doi:10.1063/1.4962573

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Hamiltonian particle-in-cell methods for Vlasov-Maxwell equations
	He, Yang 1; Sun, Yajuan2,3 ; Qin, Hong 4,5,6; Liu, Jian 4,5,7
刊名	PHYSICS OF PLASMAS
	2016-09-01
卷号	23 期号:9 页码:9
ISSN号	1070-664X
DOI	10.1063/1.4962573
英文摘要	In this paper, we study the Vlasov-Maxwell equations based on the Morrison-Marsden-Weinstein bracket. We develop Hamiltonian particle-in-cell methods for this system by employing finite element methods in space and splitting methods in time. In order to derive the semi-discrete system that possesses a discrete non-canonical Poisson structure, we present a criterion for choosing the appropriate finite element spaces. It is confirmed that some conforming elements, e.g., Nedelec's mixed elements, satisfy this requirement. When the Hamiltonian splitting method is used to discretize this semi-discrete system in time, the resulting algorithm is explicit and preserves the discrete Poisson structure. The structure-preserving nature of the algorithm ensures accuracy and fidelity of the numerical simulations over long time. Published by AIP Publishing.
资助项目	ITER-China Program[2015GB111003] ; ITER-China Program[2014GB124005] ; JSPS-NRF-NSFC[NSFC-11261140328] ; National Science Foundation of China[11271357] ; National Science Foundation of China[11575186] ; National Science Foundation of China[11575185] ; National Science Foundation of China[11505185] ; National Science Foundation of China[11505186] ; Foundation for Innovative Research Groups of the NNSFC[11321061] ; Geo-Algorithmic Plasma Simulator (GAPS) Project ; U.S. Department of Energy[DEAC02-09CH11466]
WOS研究方向	Physics
语种	英语
出版者	AMER INST PHYSICS
WOS记录号	WOS:000385633200013
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/23780]
专题	计算数学与科学工程计算研究所
通讯作者	Qin, Hong
作者单位	1.Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, POB 2719, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 4.Univ Sci & Technol China, Sch Nucl Sci & Technol, Hefei 230026, Anhui, Peoples R China 5.Univ Sci & Technol China, Dept Modern 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	He, Yang,Sun, Yajuan,Qin, Hong,et al. Hamiltonian particle-in-cell methods for Vlasov-Maxwell equations[J]. PHYSICS OF PLASMAS,2016,23(9):9.
APA	He, Yang,Sun, Yajuan,Qin, Hong,&Liu, Jian.(2016).Hamiltonian particle-in-cell methods for Vlasov-Maxwell equations.PHYSICS OF PLASMAS,23(9),9.
MLA	He, Yang,et al."Hamiltonian particle-in-cell methods for Vlasov-Maxwell equations".PHYSICS OF PLASMAS 23.9(2016):9.