Internal tide generation by seamounts

Abstract

The generation of internal tidal wave fields by barotropic tidal flow past a representative seamount is computed by modelling the seamount as a pillbox, and linearising the equations for internal wave dynamics. This is justifiable for mid-ocean seamounts, which constitute steep topography for internal waves of tidal frequency. For linearly polarised barotropic tidal flow, the resulting flow field consists of conical beams radiating from the region above the seamount, with largest velocities aligned with the barotropic flow. These beams vary with azimuthal angle but resemble the corresponding beams from two-dimensional steep topography, particularly in the barotropic flow direction. They are primarily forced by the barotropic flow over the seamount, which is amplified by the topography and is independent of the stratification if the radius of the seamount is sufficiently large. In a barotropic tidal flow of 1 cm/s amplitude, energy fluxes from individual seamounts are of order 10 6 W. Summing this over all seamounts higher than 1 km gives baroclinic energy generation of order 5.10 9 W, a number that is less than estimates of baroclinic energy flux from the continental slopes and the Hawaiian ridge, but is comparable with them.