Topology of vortex creation and merging: Wakes and multi- Gaussian models

Abstract eng:
With the purpose of clarifying the topology of vortex creation and vortex merging in 2D flows, we consider the dynamics of the critical points of vorticity. These include local extrema, which we identify as feature points of vortices, as well as saddle points. We present a precise criterion for the merging or creation of a vorticity extremum and a saddle, and describe the motion of the critical points close to the bifurcation. We show how creation of vortices in this sense occurs in the wake of a circular cylinder, and how vortex merging occur in a multi-Gaussian model of two vortices.

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