FINITE ELEMENT COMPUTATIONS OF KOLMOGOROV-PETROVSKY-PISKUNOV FRONT SPEEDS IN RANDOM SHEAR FLOWS IN CYLINDERS

doi:10.1137/080717420

	FINITE ELEMENT COMPUTATIONS OF KOLMOGOROV-PETROVSKY-PISKUNOV FRONT SPEEDS IN RANDOM SHEAR FLOWS IN CYLINDERS
	Shen, Lihua 1; Xin, Jack 2; Zhou, Aihui3
	2008
发表期刊	MULTISCALE MODELING & SIMULATION
ISSN	1540-3459
卷号	7 期号:3 页码:1029-1041
摘要	We 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.
关键词	Kolmogorov-Petrovsky-Piskunov front speeds random shear flows in cylinders stochastic eigenvalue problems two-scale finite element method
DOI	10.1137/080717420
语种	英语
资助项目	National Science Foundation (NSF) of China[10425105] ; National Science Foundation (NSF) of China[DMS-0549215] ; National Basic Research Program[2005CB321704]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000265776900002
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5863
专题	计算数学与科学工程计算研究所
通讯作者	Shen, Lihua
作者单位	1.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
推荐引用方式 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.