Vortex triple rings

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TR Number

Date

2005-05-01

Journal Title

Journal ISSN

Volume Title

Publisher

American Institute of Physics

Abstract

We determine equilibrium configurations of interacting point vortices in which identical vortices are arranged on concentric circles and/or form a set of nested regular polygons with or without a vortex at the center. A new analytical method is developed that uses moments of the vortex positions and yields particularly simple results for equilibria of this kind. A complete determination of all triple-ring equilibria is given and numerous previously unknown configurations are identified. Several equilibria previously reported in the literature, found by numerical solution, are characterized analytically.

Description

Keywords

Rotating superfluid, Vortices

Citation

Aref, Hassan and van Buren, Martin, “Vortex triple rings,” Phys. Fluids (1994-present), 17, 057104 (2005), DOI:http://dx.doi.org/10.1063/1.1898143