Within the framework of an reduced-gravity model of the ocean dynamics, we find a class of exact analytic solutions of the problem of description of nonlinear axisymmetric oscillations of a subsurface eddy under the action of stationary radial mass forces. The radial projection of the velocity of oscillations of this sort is a linear function and the azimuthal velocity, the thickness of the eddy, and the mass forces are polynomials as functions of the radial coordinate with time-dependent coefficients. The method used to find the analytic solution is based on the exact replacement of the original mathematical model by a system of ordinary differential and algebraic equations. A new class of motions of the eddy appears as a result of nonlinear interaction between the lowest mode of oscillations and the geostrophic circulation inside the eddy.
Physical Oceanography – Springer Journals
Published: Jul 15, 2005
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