Canonical symplectic particle-in-cell method for long-term large-scale simulations of the Vlasov-Maxwell equations

doi:10.1088/0029-5515/56/1/014001

	Canonical symplectic particle-in-cell method for long-term large-scale simulations of the Vlasov-Maxwell equations
	Qin, Hong 1,2,3; Liu, Jian 1,2,4; Xiao, Jianyuan 1,2,4; Zhang, Ruili 1,2,4; He, Yang 1,2; Wang, Yulei 1,2,4; Sun, Yajuan5 ; Burby, Joshua W.3; Ellison, Leland 3; Zhou, Yao 3
	2016
发表期刊	NUCLEAR FUSION
ISSN	0029-5515
卷号	56 期号:1 页码:7
摘要	Particle-in-cell (PIC) simulation is the most important numerical tool in plasma physics. However, its long-term accuracy has not been established. To overcome this difficulty, we developed a canonical symplectic PIC method for the Vlasov-Maxwell system by discretising its canonical Poisson bracket. A fast local algorithm to solve the symplectic implicit time advance is discovered without root searching or global matrix inversion, enabling applications of the proposed method to very large-scale plasma simulations with many, e.g. 10(9), degrees of freedom. The long-term accuracy and fidelity of the algorithm enables us to numerically confirm Mouhot and Villani's theory and conjecture on nonlinear Landau damping over several orders of magnitude using the PIC method, and to calculate the nonlinear evolution of the reflectivity during the mode conversion process from extraordinary waves to Bernstein waves.
关键词	particle-in-cell simulations Vlasov-Maxwell equations canonical symplectic algorithm
DOI	10.1088/0029-5515/56/1/014001
语种	英语
资助项目	ITER-China Program[2015GB111003] ; ITER-China Program[2014GB124005] ; ITER-China Program[2013GB111000] ; JSPS-NRF-NSFC A3 Foresight Program in the field of Plasma Physics[NSFC-11261140328] ; CAS Program for Interdisciplinary Collaboration Team ; Geo-Algorithmic Plasma Simulator (GAPS) project ; US Department of Energy[DE-AC02-09CH11466]
WOS研究方向	Physics
WOS类目	Physics, Fluids & Plasmas ; Physics, Nuclear
WOS记录号	WOS:000367934400002
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21723
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.Princeton Univ, Plasma Phys Lab, Princeton, NJ 08543 USA 4.Chinese Acad Sci, Key Lab Geospace Environm, Hefei 230026, Anhui, Peoples R China 5.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Qin, Hong,Liu, Jian,Xiao, Jianyuan,et al. Canonical symplectic particle-in-cell method for long-term large-scale simulations of the Vlasov-Maxwell equations[J]. NUCLEAR FUSION,2016,56(1):7.
APA	Qin, Hong.,Liu, Jian.,Xiao, Jianyuan.,Zhang, Ruili.,He, Yang.,...&Zhou, Yao.(2016).Canonical symplectic particle-in-cell method for long-term large-scale simulations of the Vlasov-Maxwell equations.NUCLEAR FUSION,56(1),7.
MLA	Qin, Hong,et al."Canonical symplectic particle-in-cell method for long-term large-scale simulations of the Vlasov-Maxwell equations".NUCLEAR FUSION 56.1(2016):7.