Within the framework of the linear theory of long waves, we study baroclinic free waves in a bounded basin of variable depth without vertical walls. We consider the case of two-layer stratification. The profile of the bottom of the basin and the form of the interface vary according to the parabolic law. Under these conditions, for the first three modes, we obtain analytic expressions for the frequencies of free oscillations, wave velocities, and the profiles of the free surface and interface. We analyze the dependences of frequencies, wave amplitudes, and wave velocities on the parameters of stratification and geometric characteristics of the basin.
Physical Oceanography – Springer Journals
Published: Oct 21, 2004
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