Nonlinear inertial oscillations of a multilayer eddy: An analytical solution |
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Authors: | S F Dotsenko A Rubino |
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Institution: | (1) Marine Hydrophysical Institute, National Academy of Sciences of Ukraine, Kapitanskaya ul. 2, Sevastopol, 99011, Ukraine;(2) Ca Foscari University, Santa Marta street, Dorsoduro 2137, Venice, 30123, Italy |
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Abstract: | Nonlinear axisymmetric oscillations of a warm baroclinic eddy are considered within the framework of an reduced-gravity model of the dynamics of a multilayer ocean. A class of exact analytical solutions describing pure inertial oscillations of an eddy formation is found. The thicknesses of layers in the eddy vary according to a quadratic law, and the horizontal projections of the velocity in the layers depend linearly on the radial coordinate. Owing to a complicated structure of the eddy, weak limitations on the vertical distribution of density, and an explicit form of the solution, the latter can be treated as a generalization of the exact analytical solutions of this form that were previously obtained for homogeneous and baroclinic eddies in the ocean. |
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