Large-stepsize integrators for charged-particle dynamics over multiple time scales

doi:10.1007/s00211-022-01298-9

CSpace

	Large-stepsize integrators for charged-particle dynamics over multiple time scales
	Hairer, Ernst 1; Lubich, Christian 2; Shi, Yanyan 2,3,4
	2022-06-08
发表期刊	NUMERISCHE MATHEMATIK
ISSN	0029-599X
页码	33
摘要	The Boris algorithm, a closely related variational integrator and a newly proposed filtered variational integrator are studied when they are used to numerically integrate the equations of motion of a charged particle in a mildly non-uniform strong magnetic field, taking step sizes that are much larger than the period of the Larmor rotations. For the Boris algorithm and the standard (unfiltered) variational integrator, satisfactory behaviour is only obtained when the component of the initial velocity orthogonal to the magnetic field is filtered out. The particle motion shows varying behaviour over multiple time scales: fast gyrorotation, guiding centre motion, slow perpendicular drift, near-conservation of the magnetic moment over very long times and conservation of energy for all times. Using modulated Fourier expansions of the exact and numerical solutions, it is analysed to which extent this behaviour is reproduced by the three numerical integrators used with large step sizes that do not resolve the fast gyrorotations.
关键词	Charged particle Strong magnetic field Boris algorithm Variational integrator Filtered variational integrator Modulated Fourier expansion Long-term behaviour
DOI	10.1007/s00211-022-01298-9
收录类别	SCI
语种	英语
资助项目	Swiss National Science Foundation[200020_192129] ; Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)[258734477 - SFB 1173] ; University of the Chinese Academy of Sciences (UCAS)
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000807944200001
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61488
专题	中国科学院数学与系统科学研究院
通讯作者	Lubich, Christian
作者单位	1.Univ Geneva, Dept Math, CH-1211 Geneva 24, Switzerland 2.Univ Tubingen, Math Inst, D-72076 Tubingen, Germany 3.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Hairer, Ernst,Lubich, Christian,Shi, Yanyan. Large-stepsize integrators for charged-particle dynamics over multiple time scales[J]. NUMERISCHE MATHEMATIK,2022:33.
APA	Hairer, Ernst,Lubich, Christian,&Shi, Yanyan.(2022).Large-stepsize integrators for charged-particle dynamics over multiple time scales.NUMERISCHE MATHEMATIK,33.
MLA	Hairer, Ernst,et al."Large-stepsize integrators for charged-particle dynamics over multiple time scales".NUMERISCHE MATHEMATIK (2022):33.