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The response of Hill's spherical vortex to a small axisymmetric disturbance
1978
Journal of Fluid Mechanics
The response of a Hill's spherical vortex to an irrotational axisymmetric small perturbation is examined on the assumption that viscous diffusion of vorticity is negligible. The problem of determining the response is first reduced to a system of differential equations for the evolution of the Legendre coefficients of the disturbance stream function. This system is then solved approximately and it is shown that, if the initial disturbance is such as to make the vortex prolate spheroidal, the
doi:10.1017/s002211207800186x
fatcat:yepcgubxmbbebk34bevm6izc5m