CSpace  > 计算数学与科学工程计算研究所
FINITE ELEMENT COMPUTATIONS OF KOLMOGOROV-PETROVSKY-PISKUNOV FRONT SPEEDS IN RANDOM SHEAR FLOWS IN CYLINDERS
Shen, Lihua1; Xin, Jack2; Zhou, Aihui3
2008
Source PublicationMULTISCALE MODELING & SIMULATION
ISSN1540-3459
Volume7Issue:3Pages:1029-1041
AbstractWe study the Kolmogorov-Petrovsky-Piskunov minimal front speeds in spatially random shear flows in cylinders of various cross sections based on the variational principle and an associated elliptic eigenvalue problem. We compare a standard finite element method and a two-scale finite element method in random front speed computations. The two-scale method iterates solutions between coarse and fine meshes and reduces the cost of the eigenvalue computation to that of a boundary value problem while maintaining the accuracy. The two-scale method saves computing time and provides accurate enough solutions. In the case of square and elliptical cross sections, our simulation shows that larger aspect ratios of domain cross sections increase the average front speeds in agreement with an asymptotic theory.
KeywordKolmogorov-Petrovsky-Piskunov front speeds random shear flows in cylinders stochastic eigenvalue problems two-scale finite element method
DOI10.1137/080717420
Language英语
Funding ProjectNational Science Foundation (NSF) of China[10425105] ; National Science Foundation (NSF) of China[DMS-0549215] ; National Basic Research Program[2005CB321704]
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Interdisciplinary Applications ; Physics, Mathematical
WOS IDWOS:000265776900002
PublisherSIAM PUBLICATIONS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/5863
Collection计算数学与科学工程计算研究所
Corresponding AuthorShen, Lihua
Affiliation1.Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China
2.Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Shen, Lihua,Xin, Jack,Zhou, Aihui. FINITE ELEMENT COMPUTATIONS OF KOLMOGOROV-PETROVSKY-PISKUNOV FRONT SPEEDS IN RANDOM SHEAR FLOWS IN CYLINDERS[J]. MULTISCALE MODELING & SIMULATION,2008,7(3):1029-1041.
APA Shen, Lihua,Xin, Jack,&Zhou, Aihui.(2008).FINITE ELEMENT COMPUTATIONS OF KOLMOGOROV-PETROVSKY-PISKUNOV FRONT SPEEDS IN RANDOM SHEAR FLOWS IN CYLINDERS.MULTISCALE MODELING & SIMULATION,7(3),1029-1041.
MLA Shen, Lihua,et al."FINITE ELEMENT COMPUTATIONS OF KOLMOGOROV-PETROVSKY-PISKUNOV FRONT SPEEDS IN RANDOM SHEAR FLOWS IN CYLINDERS".MULTISCALE MODELING & SIMULATION 7.3(2008):1029-1041.
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
[Shen, Lihua]'s Articles
[Xin, Jack]'s Articles
[Zhou, Aihui]'s Articles
Baidu academic
Similar articles in Baidu academic
[Shen, Lihua]'s Articles
[Xin, Jack]'s Articles
[Zhou, Aihui]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Shen, Lihua]'s Articles
[Xin, Jack]'s Articles
[Zhou, Aihui]'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.