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

doi:10.1063/1.4962573

	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
	2016-09-01
发表期刊	PHYSICS OF PLASMAS
ISSN	1070-664X
卷号	23 期号:9 页码:9
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.
DOI	10.1063/1.4962573
语种	英语
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
WOS类目	Physics, Fluids & Plasmas
WOS记录号	WOS:000385633200013
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23781
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.