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Filtered Hyperbolic Moment Method for the Vlasov Equation

文献类型：期刊论文

作者Di, Yana1,2; Fan, Yuwei3; Kou, Zhenzhong4; Li, Ruo5,6; Wang, Yanli7
刊名JOURNAL OF SCIENTIFIC COMPUTING
出版日期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
DOI10.1007/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
WOS记录号WOS:000464896500012
出版者SPRINGER/PLENUM PUBLISHERS
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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