STEADY FREE VORTEX RINGS IN AN INVISCID FLUID

Axisymmetric vortex rings which move steadily through an incompressible unbounded ideal fluid at rest at infinity are investigated. A general spectral scheme is proposed for seeking solutions of steady axisymmetric vortex rings with arbitrary vorticity distribution in the core. The properties of vortex ring are also given a numerical description. Comparison between the numerical results and asymptotic analytic solution is very satisfactory.