Application of Lie Algebra in Constructing Volume-Preserving Algorithms for Charged Particles Dynamics

doi:10.4208/cicp.scpde14.33s

	Application of Lie Algebra in Constructing Volume-Preserving Algorithms for Charged Particles Dynamics
	Zhang, Ruili 1,2; Liu, Jian 1,2; Qin, Hong 1,2,3; Tang, Yifa4 ; He, Yang 1,2; Wang, Yulei 1,2
	2016-05-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	19 期号:5 页码:1397-1408
摘要	Volume-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.
关键词	Lie algebra Lie group volume-preserving algorithm charged particles dynamics
DOI	10.4208/cicp.scpde14.33s
语种	英语
资助项目	National 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研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000376456600015
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22796
专题	计算数学与科学工程计算研究所
通讯作者	Liu, Jian
作者单位	1.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
推荐引用方式 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.