ASYMMETRY AND HOPF-BIFURCATION IN SPHERICAL COUETTE-FLOW

被引：199

作者：

MAMUN, CK

TUCKERMAN, LS

机构：

[1] UNIV TEXAS,DEPT MATH,AUSTIN,TX 78712

[2] UNIV TEXAS,CTR NONLINEAR DYNAM,AUSTIN,TX 78712

来源：

PHYSICS OF FLUIDS | 1995年 / 7卷 / 01期

关键词：

D O I：

10.1063/1.868730

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Spherical Couette flow is studied with a view to elucidating the transitions between various axisymmetric steady-state flow configurations. A stable, equatorially asymmetric state discovered by Bühler [Acta Mech. 81, 3 (1990)] consists of two Taylor vortices, one slightly larger than the other and straddling the equator. By adapting a pseudospectral time-stepping formulation to enable stable and unstable steady states to be computed (by Newton's method) and linear stability analysis to be conducted (by Arnoldi's method), the bifurcation-theoretic genesis of the asymmetric state is analyzed. It is found that the asymmetric branch originates from a pitchfork bifurcation; its stabilization, however, occurs via a subsequent subcritical Hopf bifurcation. © 1995 American Institute of Physics.

引用

页码：80 / 91

页数：12

共 33 条

[1] THE PRINCIPLE OF MINIMIZED ITERATIONS IN THE SOLUTION OF THE MATRIX EIGENVALUE PROBLEM [J].