The Ginzburg-Landau Equation as a Model of the Three-Dimensional Circular Cylinder Wake at Low Reynolds Numbers
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).
KeywordsReynolds Number Standard Length Circular Cylinder Critical Reynolds Number Landau Model
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