Filtered Hyperbolic Moment Method for the Vlasov Equation

doi:10.1007/s10915-018-0882-8

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Filtered Hyperbolic Moment Method for the Vlasov Equation
	Di, Yana1,2 ; Fan, Yuwei 3; Kou, Zhenzhong 4; Li, Ruo 5,6; Wang, Yanli 7
刊名	JOURNAL OF SCIENTIFIC COMPUTING
	2019-05-01
卷号	79 期号:2 页码:969-991
关键词	Hyperbolic moment equations Vlasov equation Filter Landau damping Two-stream instability
ISSN号	0885-7474
DOI	10.1007/s10915-018-0882-8
英文摘要	In this paper, we investigate the effect of the filter for the hyperbolic moment equations (HME) (Cai et al. in Commun Pure Appl Math 67(3):464-518, 2014; Cai et al. in SIAM J Sci Comput 35(6):A2807-A2831, 2013) of the Vlasov-Poisson equations and propose a novel quasi time-consistent filter to suppress the numerical recurrence effect. By taking properties of HME into consideration, the filter preserves a lot of physical properties of HME, including Galilean invariance and conservation of mass, momentum and energy. We present two viewpointscollisional viewpoint and dissipative viewpointto dissect the filter, and show that the filtered hyperbolic moment method can be treated as a solver of the Vlasov equation. Numerical simulations of the linear Landau damping and two stream instability demonstrate the effectiveness of the filter in restraining recurrence arising from particle streaming. Both the analysis and the numerical results indicate that the filtered method can capture the evolution of the Vlasov equation, even when phase mixing and filamentation dominate.
资助项目	Natural Science Foundation of China[11501042] ; National Natural Science Foundation of China[9163030002]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER/PLENUM PUBLISHERS
WOS记录号	WOS:000464896500012
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/34381]
专题	计算数学与科学工程计算研究所
通讯作者	Wang, Yanli
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Stanford Univ, Dept Math, Stanford, CA 94305 USA 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 5.Peking Univ, LMAM, CAPT, Beijing, Peoples R China 6.Peking Univ, Sch Math Sci, Beijing, Peoples R China 7.Peking Univ, Coll Engn, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Di, Yana,Fan, Yuwei,Kou, Zhenzhong,et al. Filtered Hyperbolic Moment Method for the Vlasov Equation[J]. JOURNAL OF SCIENTIFIC COMPUTING,2019,79(2):969-991.
APA	Di, Yana,Fan, Yuwei,Kou, Zhenzhong,Li, Ruo,&Wang, Yanli.(2019).Filtered Hyperbolic Moment Method for the Vlasov Equation.JOURNAL OF SCIENTIFIC COMPUTING,79(2),969-991.
MLA	Di, Yana,et al."Filtered Hyperbolic Moment Method for the Vlasov Equation".JOURNAL OF SCIENTIFIC COMPUTING 79.2(2019):969-991.