On the modelling of equatorial waves

Physics – Geophysics

Scientific paper

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Mathematical Geophysics: Wave Propagation (0689, 2487, 4275, 4455, 6934), Oceanography: General: Equatorial Oceanography, Nonlinear Geophysics: Bifurcations And Attractors, Nonlinear Geophysics: Nonlinear Maps

Scientific paper

The present theory of geophysical waves that either raise or lower the equatorial thermocline, based on the reduced-gravity shallow-water equations on the β-plane, ignores vertical variations of the flow. In particular, the vertical structure of the Equatorial Undercurrent is absent. As a remedy we propose a simple approach by modeling this geophysical process as a wave-current interaction in the f-plane approximation, the underlying current being of positive constant vorticity. The explicit dispersion relation allows us to conclude that, despite its simplicity, the proposed model captures to a reasonable extent essential features of equatorial waves.

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