CSpace  > 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, Yuwei3; Kou, Zhenzhong4; Li, Ruo5,6; Wang, Yanli7
2019-05-01
Source PublicationJOURNAL OF SCIENTIFIC COMPUTING
ISSN0885-7474
Volume79Issue:2Pages:969-991
AbstractIn 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.
KeywordHyperbolic moment equations Vlasov equation Filter Landau damping Two-stream instability
DOI10.1007/s10915-018-0882-8
Language英语
Funding ProjectNatural Science Foundation of China[11501042] ; National Natural Science Foundation of China[9163030002]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000464896500012
PublisherSPRINGER/PLENUM PUBLISHERS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/34382
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Di, Yana]'s Articles
[Fan, Yuwei]'s Articles
[Kou, Zhenzhong]'s Articles
Baidu academic
Similar articles in Baidu academic
[Di, Yana]'s Articles
[Fan, Yuwei]'s Articles
[Kou, Zhenzhong]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Di, Yana]'s Articles
[Fan, Yuwei]'s Articles
[Kou, Zhenzhong]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.