Interaction of internal gravity waves with an undirectional shear flow

Astronomy and Astrophysics – Astrophysics

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Scientific paper

We investigate the interaction of a small-amplitude internal gravity wave packet with a unidirectional shear flow in a stably-stratified rotating fluid. Ray equations and three-dimensional direct numerical simulations of the Boussinesq equations are solved for this purpose. We focus on the situation where the intrinsic frequency Ω of the wave packet increases as the packet propagates into the shear flow, due to the horizontal dependence of this flow. We show that the wave packet is trapped in the neighbourhood of the Ω = N surface (where N is the local Brunt-Väisälä frequency) and always dissipates there, possibly through breaking. The wave packet is not able to induce any significant effect upon the shear flow except when the latter is inertially unstable.

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