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Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems
Xiao, Jianyuan1,2,3; Qin, Hong1,2,4; Liu, Jian1,2,3; He, Yang1,2,3; Zhang, Ruili1,2,3; Sun, Yajuan5
2015-11-01
Source PublicationPHYSICS OF PLASMAS
ISSN1070-664X
Volume22Issue:11Pages:8
AbstractExplicit 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.
DOI10.1063/1.4935904
Language英语
Funding ProjectITER-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 Research AreaPhysics
WOS SubjectPhysics, Fluids & Plasmas
WOS IDWOS:000366054900033
PublisherAMER INST PHYSICS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/21512
Collection计算数学与科学工程计算研究所
Corresponding AuthorQin, Hong
Affiliation1.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
Recommended Citation
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.
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