Bifurcation theory for three-dimensional flow in the wake of a circular cylinder
A bifurcation scenario is presented for three-dimensional vortex shedding in the wake of a circular cylinder for Reynolds numbers up to 300. Amplitude equations are proposed to describe the nonlinear interaction between two three-dimensional modes of shedding with different spanwise wave numbers and different spatiotemporal symmetries. The amplitude equations explain many features of the transition scenario observed experimentally.
Barkley
D
Mathematics Institute, University of Warwick, Coventry, United Kingdom. barkley@maths.warwick.ac.uk
Tuckerman
LS
Golubitsky
M