Filtered Hyperbolic Moment Method for the Vlasov Equation

doi:10.1007/s10915-018-0882-8

	Filtered Hyperbolic Moment Method for the Vlasov Equation
	Di, Yana1,2 ; Fan, Yuwei 3; Kou, Zhenzhong 4; Li, Ruo 5,6; Wang, Yanli 7
	2019-05-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	79 期号:2 页码:969-991
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.
关键词	Hyperbolic moment equations Vlasov equation Filter Landau damping Two-stream instability
DOI	10.1007/s10915-018-0882-8
语种	英语
资助项目	Natural Science Foundation of China[11501042] ; National Natural Science Foundation of China[9163030002]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000464896500012
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34382
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.