The Ginzburg-Landau Equation as a Model of the Three-Dimensional Circular Cylinder Wake at Low Reynolds Numbers

  • Pierre Albarède
  • Thomas Leweke
  • Michel Provansal
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


The circular cylinder wake is a basic problem in fluid dynamics. At low Reynolds numbers, there is a transition from a steady to an oscillatory wake, which has been previously identified (Provansal et al.) as a Landau-Hopf bifurcation by local measurements. However this model is unsufficient to account for the spatial effects along the axis of the cylinder which turned out to be of crude importance. Many observations of spatial structures have been done: inclined vortex shedding (Berger & Wille, Gerrard), cells of different frequencies (Gerich & Eckelmann), influence of end effects and pressure conditions on parallel or oblique vortex shedding (Williamson, Hammache & Gharib).


Reynolds Number Standard Length Circular Cylinder Critical Reynolds Number Landau Model 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Pierre Albarède
    • 1
  • Thomas Leweke
    • 1
  • Michel Provansal
    • 1
  1. 1.Laboratoire de Recherche en CombustionCNRS MarseilleFrance

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