Abstract

Abstract The formation of a steady quasi-geostrophic flow component over undulating bottom variations is analysed in the case when wave-topography interactions dominate over nonlinear wave-wave couplings. A low-order model is proposed to describe quasi-linear dynamics and our main attention focusses on the qualitative structures of two functions: the correlation between relative vorticity and topography (C) and a topographic stress force (D). C turns out to be both positive and negative depending on the parameters of an incident wave and topography mode, and on the dissipation mechanism taken into account. The β-effect increases C and isotropy of the dynamical wavy field or that of the topography decreases this quantity.

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