Point Vortex Dipole Scattering

Oct 20, 2023·
Atul Anurag
Atul Anurag
· 0 min read
Image credit: SIAM
Abstract
We investigate three problems in point-vortices dynamics within a two-dimensional, inviscid, incompressible fluid. We derive a new reduction of a system of three vortices. The integrable reduced system has an easily visualized phase plane that illuminates the dynamics.
We apply it to explain the scattering of the point-vortex dipole with a third vortex in two cases. We then add a fourth vortex and use the reduced dynamics of the three-vortex system as the basis for the perturbative study of dipole-dipole scattering.
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