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Symmetry breaking of two-dimensional time-periodic wakes

Published online by Cambridge University Press:  13 January 2005

H. M. BLACKBURN ,
F. MARQUES  and
J. M. LOPEZ
H. M. BLACKBURN
Affiliation:
CSIRO Manufacturing and Infrastructure Technology, PO Box 56, Highett, Vic. 3190, Australia
F. MARQUES
Affiliation:
Departament de Física Aplicada, Universitat Politècnica de Catalunya, 08034, Barcelona, Spain
J. M. LOPEZ
Affiliation:
Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287, USA
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Abstract

A number of two-dimensional time-periodic flows, for example the Kármán street wake of a symmetrical bluff body such as a circular cylinder, possess a spatio-temporal symmetry: a combination of evolution by half a period in time and a spatial reflection leaves the flow invariant. Floquet analyses for the stability of these flows to three-dimensional perturbations have in the past been based on the Poincaré map, without attempting to exploit the spatio-temporal symmetry. Here, Floquet analysis based on the half-period-flip map provides a comprehensive interpretation of the symmetry-breaking bifurcations.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 522 , 10 January 2005 , pp. 395 - 411
Copyright
© 2005 Cambridge University Press

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