Numerical study of multiple periodic flow states in spherical Couette flow

doi:10.1360/04za0007

	Numerical study of multiple periodic flow states in spherical Couette flow
	Yuan, L
	2004-04-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	47 页码:81-91
摘要	The supercritical flow states of the spherical Couette flow between two concentric spheres with the inner sphere rotating are investigated via direct numerical simulation using a three-dimensional finite difference method. For comparison with experiments of Nakabayashi et al. and Wimmer, a narrow gap and a medium gap with clearance ratio beta = 0.06 and 0.18 respectively are considered for the Reynolds number range covering the first Hopf bifurcation point. With adequate initial conditions and temporary imposition of small wave-type perturbation, multiple periodic flow states with three different pair numbers of spiral Taylor-Gortler (TG) vortices have been simulated successfully for beta = 0.06, of which the 1-pair and 2-pair of spiral TG vortices are newly obtained. Three different periodic flow states with shear waves, Stuart vortices or wavy outflow boundary, have been obtained for beta = 0.18. Analysis of the numerical results reveals these higher flow modes in terms of fundamental frequency, wave number and spatial structure.
关键词	spherical Couette flow non-unique flow solutions spiral Taylor-Gortler vortices shear waves Stuart vortices
DOI	10.1360/04za0007
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000222678800008
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19296
专题	计算数学与科学工程计算研究所
通讯作者	Yuan, L
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yuan, L. Numerical study of multiple periodic flow states in spherical Couette flow[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2004,47:81-91.
APA	Yuan, L.(2004).Numerical study of multiple periodic flow states in spherical Couette flow.SCIENCE IN CHINA SERIES A-MATHEMATICS,47,81-91.
MLA	Yuan, L."Numerical study of multiple periodic flow states in spherical Couette flow".SCIENCE IN CHINA SERIES A-MATHEMATICS 47(2004):81-91.