KMS Of Academy of mathematics and systems sciences, CAS
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 | |
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. |
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