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Energy-preserving algorithm for gyrocenter dynamics of charged particles
Zhang, Ruili1; Liu, Jian2; Qin, Hong2,3; Tang, Yifa4,5
2019-08-01
Source PublicationNUMERICAL ALGORITHMS
ISSN1017-1398
Volume81Issue:4Pages:1521-1530
AbstractGyrocenter dynamics of charged particles plays a fundamental and important role in plasma physics, which requires accuracy and conservation in a long-time simulation. Variational symplectic algorithms and canonicalized symplectic algorithms have been developed for gyrocenter dynamics. However, variational symplectic methods are always unstable, and canonicalized symplectic methods need coordinates transformation case by case, which is usually difficult to find. Based on the fact that the Hamiltonian function describing the energy of the system is invariant, we develop energy-preserving algorithms for gyrocenter dynamics systematically using the discrete gradient method. The given integrators have significant advantages in preserving energy and efficiency over long-time simulations, compared with non-symplectic methods and canonicalized symplectic algorithms.
KeywordEnergy-preserving algorithm Gyrocenter system Discrete gradient method
DOI10.1007/s11075-019-00739-1
Language英语
Funding ProjectNational Natural Science Foundation of China[NSFC-11505186] ; National Natural Science Foundation of China[11575185] ; National Natural Science Foundation of China[11575186] ; National Natural Science Foundation of China[11771438] ; National Natural Science Foundation of China[11775222] ; ITER-China Program[2015GB111003] ; ITER-China Program[2017YFE0301700] ; Fundamental Research Funds for the Central Universities[2017RC033] ; Fundamental Research Funds for the Central Universities[FRF-TP-16-066A1] ; Fundamental Research Funds for the Central Universities[WK2150110008] ; Key Research Program of Frontier Sciences CAS[QYZDB-SSW-SYS004]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000478001200021
PublisherSPRINGER
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/35289
Collection中国科学院数学与系统科学研究院
Corresponding AuthorLiu, Jian
Affiliation1.Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China
2.Univ Sci & Technol China, Sch Phys, Hefei 230026, Anhui, Peoples R China
3.Princeton Univ, Plasma Phys Lab, POB 451, Princeton, NJ 08543 USA
4.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China
5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Ruili,Liu, Jian,Qin, Hong,et al. Energy-preserving algorithm for gyrocenter dynamics of charged particles[J]. NUMERICAL ALGORITHMS,2019,81(4):1521-1530.
APA Zhang, Ruili,Liu, Jian,Qin, Hong,&Tang, Yifa.(2019).Energy-preserving algorithm for gyrocenter dynamics of charged particles.NUMERICAL ALGORITHMS,81(4),1521-1530.
MLA Zhang, Ruili,et al."Energy-preserving algorithm for gyrocenter dynamics of charged particles".NUMERICAL ALGORITHMS 81.4(2019):1521-1530.
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