Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems

doi:10.1063/1.4935904

	Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems
	Xiao, Jianyuan 1,2,3; Qin, Hong 1,2,4; Liu, Jian 1,2,3; He, Yang 1,2,3; Zhang, Ruili 1,2,3; Sun, Yajuan5
	2015-11-01
发表期刊	PHYSICS OF PLASMAS
ISSN	1070-664X
卷号	22 期号:11 页码:8
摘要	Explicit high-order non-canonical symplectic particle-in-cell algorithms for classical particle-field systems governed by the Vlasov-Maxwell equations are developed. The algorithms conserve a discrete non-canonical symplectic structure derived from the Lagrangian of the particle-field system, which is naturally discrete in particles. The electromagnetic field is spatially discretized using the method of discrete exterior calculus with high-order interpolating differential forms for a cubic grid. The resulting time-domain Lagrangian assumes a non-canonical symplectic structure. It is also gauge invariant and conserves charge. The system is then solved using a structure-preserving splitting method discovered by He et al. [preprint arXiv: 1505.06076 (2015)], which produces five exactly soluble sub-systems, and high-order structure-preserving algorithms follow by combinations. The explicit, high-order, and conservative nature of the algorithms is especially suitable for long-term simulations of particle-field systems with extremely large number of degrees of freedom on massively parallel supercomputers. The algorithms have been tested and verified by the two physics problems, i.e., the nonlinear Landau damping and the electron Bernstein wave. (C) 2015 AIP Publishing LLC.
DOI	10.1063/1.4935904
语种	英语
资助项目	ITER-China Program[2015GB111003] ; ITER-China Program[2014GB124005] ; ITER-China Program[2013GB111000] ; JSPS-NRF-NSFC[NSFC-11261140328] ; National Science Foundation of China[11575186] ; National Science Foundation of China[11575185] ; National Science Foundation of China[11505185] ; National Science Foundation of China[11505186] ; CAS Program for Interdisciplinary Collaboration Team ; Geo-Algorithmic Plasma Simulator (GAPS) Project ; U.S. Department of Energy[DE-AC02-09CH11466]
WOS研究方向	Physics
WOS类目	Physics, Fluids & Plasmas
WOS记录号	WOS:000366054900033
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/21512
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 China, Sch Nucl Sci & Technol, Hefei 230026, Anhui, Peoples R China 2.Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China 3.Chinese Acad Sci, Key Lab Geospace Environm, Hefei 230026, Anhui, Peoples R China 4.Princeton Univ, Plasma Phys Lab, Princeton, NJ 08543 USA 5.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Xiao, Jianyuan,Qin, Hong,Liu, Jian,et al. Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems[J]. PHYSICS OF PLASMAS,2015,22(11):8.
APA	Xiao, Jianyuan,Qin, Hong,Liu, Jian,He, Yang,Zhang, Ruili,&Sun, Yajuan.(2015).Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems.PHYSICS OF PLASMAS,22(11),8.
MLA	Xiao, Jianyuan,et al."Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems".PHYSICS OF PLASMAS 22.11(2015):8.