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A simple model for unsteady buoyancy-driven abyssal circulation

机译:A simple model for unsteady buoyancy-driven abyssal circulation

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This paper considers oceanic buoyancy driven flow using the linearised equations for a continuously stratified, incompressible, inviscid, Boussinesq fluid. The ocean is unbounded horizontally, infinitely deep and has a linear sloping bottom of arbitrary orientation. Initially the fluid is at rest with uniform buoyancy frequency. Then a point mass source, located on the sea floor, is switched-on and maintained. Using quasigeostrophic theory, explicit analytical solutions are found for the case of (a) a mid-latitude #x3B2;-plane when the bottom is flat, or (b) anf-plane in the presence of a sloping bottom. In the former case the solutions complement those obtained by McDonald (1992) while in the latter case a two-dimensional bottom trapped wave response is generated.

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