Point vortex models of exotic laminar vortex streets

Abstract eng:
We will discuss the structure and dynamics of complicated, or exotic, laminar vortex streets using point vortex models in two- dimensional potential flow. The focus will be on singly-periodic systems containing four vortices per period having an assumed spatial symmetry that is preserved by the dynamics. This symmetry is inspired by the patterns observed in 2P—mode bluff body wakes, in which four neighboring vortices appear as two pairs with a glide-reflective symmetry: the position of each pair is related to the other by a reflection about and a half-period translation along the wake centerline. This problem can be reduced to an integrable Hamiltonian system. Vortex motions are classified using a bifurcation analysis of the phase space topology as determined by level curves of the Hamiltonian. The four-point-vortex system exhibits a rich variety of relative motions for almost all possible initial conditions.

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