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Energy-preserving algorithm for gyrocenter dynamics of charged particles

文献类型：期刊论文

作者Zhang, Ruili5; Liu, Jian4; Qin, Hong3,4; Tang, Yifa1,2
刊名NUMERICAL ALGORITHMS
出版日期2019-08-01
卷号81期号:4页码:1521-1530
关键词Energy-preserving algorithm Gyrocenter system Discrete gradient method
ISSN号1017-1398
DOI10.1007/s11075-019-00739-1
英文摘要Gyrocenter 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.
资助项目National 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研究方向Mathematics
语种英语
WOS记录号WOS:000478001200021
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/35288]  
专题中国科学院数学与系统科学研究院
通讯作者Liu, Jian
作者单位1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
2.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Princeton Univ, Plasma Phys Lab, POB 451, Princeton, NJ 08543 USA
4.Univ Sci & Technol China, Sch Phys, Hefei 230026, Anhui, Peoples R China
5.Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China
推荐引用方式
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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