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Application of Lie Algebra in Constructing Volume-Preserving Algorithms for Charged Particles Dynamics
Zhang, Ruili1,2; Liu, Jian1,2; Qin, Hong1,2,3; Tang, Yifa4; He, Yang1,2; Wang, Yulei1,2
2016-05-01
Source PublicationCOMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN1815-2406
Volume19Issue:5Pages:1397-1408
AbstractVolume-preserving algorithms (VPAs) for the charged particles dynamics is preferred because of their long-term accuracy and conservativeness for phase space volume. Lie algebra and the Baker-Campbell-Hausdorff (BCH) formula can be used as a fundamental theoretical tool to construct VPAs. Using the Lie algebra structure of vector fields, we split the volume-preserving vector field for charged particle dynamics into three volume-preserving parts (sub-algebras), and find the corresponding Lie subgroups. Proper combinations of these subgroups generate volume preserving, second order approximations of the original solution group, and thus second order VPAs. The developed VPAs also show their significant effectiveness in conserving phase-space volume exactly and bounding energy error over long-term simulations.
KeywordLie algebra Lie group volume-preserving algorithm charged particles dynamics
DOI10.4208/cicp.scpde14.33s
Language英语
Funding ProjectNational Natural Science Foundation of China (NSFC)[11305171] ; National Natural Science Foundation of China (NSFC)[11371357] ; National Natural Science Foundation of China (NSFC)[11505186] ; National Natural Science Foundation of China (NSFC)[11575185] ; National Natural Science Foundation of China (NSFC)[11575186] ; ITER-China Program[2015GB111003] ; ITER-China Program[2014GB124005] ; Fundamental Research Funds for the Central Universities[WK2030040068] ; China Postdoctoral Science Foundation[2015M581994] ; CAS Program for Interdisciplinary Collaboration Team ; Geo-Algorithmic Plasma Simulator (GAPS) Project
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000376456600015
PublisherGLOBAL SCIENCE PRESS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22796
Collection计算数学与科学工程计算研究所
Affiliation1.Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China
2.Univ Sci & Technol China, Sch Nucl Sci & Technol, Hefei 230026, Anhui, Peoples R China
3.Princeton Univ, Plasma Phys Lab, POB 451, Princeton, NJ 08543 USA
4.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Ruili,Liu, Jian,Qin, Hong,et al. Application of Lie Algebra in Constructing Volume-Preserving Algorithms for Charged Particles Dynamics[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2016,19(5):1397-1408.
APA Zhang, Ruili,Liu, Jian,Qin, Hong,Tang, Yifa,He, Yang,&Wang, Yulei.(2016).Application of Lie Algebra in Constructing Volume-Preserving Algorithms for Charged Particles Dynamics.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,19(5),1397-1408.
MLA Zhang, Ruili,et al."Application of Lie Algebra in Constructing Volume-Preserving Algorithms for Charged Particles Dynamics".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 19.5(2016):1397-1408.
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