title: Extreme multiplicity in cylindrical Rayleigh-Bénard convection. I. Time dependence and oscillations.
abstract: Rayleigh-Bénard convection in a cylindrical container can take on many different spatial forms. Motivated by the results of Hof [Phys. Fluids 11, 2815 (1999)], who observed coexistence of several stable states at a single set of parameter values, we have carried out simulations at the same Prandtl number, that of water, and a radius-to-height aspect ratio of two. We have used two kinds of thermal boundary conditions: perfectly insulating sidewalls and perfectly conducting sidewalls. In both cases we obtain a wide variety of coexisting steady and time-dependent flows.
authors.affiliation: Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur-CNRS, BP 133, 91403 Orsay, France. k.boronska@leeds.ac.uk
authors.forename: Katarzyna
authors.initials: K
authors.lastname: Borońska
authors.forename: Laurette S
authors.initials: LS
authors.lastname: Tuckerman