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.

Nonlinear radial oscillations of an isolated eddy in the ocean with regard for the external action

RUBINO, Angelo
2005

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10278/36722
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