Tidal conversion by subcritical topography

  title={Tidal conversion by subcritical topography},
  author={Neil J. Balmforth and Glenn R. Ierley and William R. Young},
We give analytical estimates of the rate at which energy is extracted from the barotropic tide at topography and converted into internal gravity waves. The ocean is idealized as an inviscid, vertically unbounded fluid on the f−plane. The gravity waves are treated by linear theory and freely escape to z = ∞. We investigate several topographies: a sinusoidal ripple; a set of Gaussian bumps; and an ensemble of “random topographies”. In the third case, topographic profiles are generated by randomly… 

Tidal Conversion by Supercritical Topography

Calculations are presented of the rate of energy conversion of the barotropic tide into internal gravity waves above topography on the ocean floor. The ocean is treated as infinitely deep, and the

Topographies lacking tidal conversion

  • L. Maas
  • Environmental Science
    Journal of Fluid Mechanics
  • 2011
Abstract The consensus is that in a stratified sea a classical model of tidal flow over irregular but smooth topography necessarily leads to the generation of internal tides, regardless of the shape

Decay of an internal tide due to random topography in the ocean

We present a theoretical and numerical study of the decay of an internal wave caused by scattering at undulating sea-floor topography, with an eye towards building a simple model in which the decay

Tidal Conversion at a Submarine Ridge

The radiative flux of internal wave energy (the “tidal conversion”) powered by the oscillating flow of a uniformly stratified fluid over a two-dimensional submarine ridge is computed using an

The Mechanism of Internal Tide Generation over Weak Topography

Here the process of internal tide generation over idealized (sinusoidal) topography was investigated using numerical techniques, in which the barotropic-to-baroclinic energy conversion was discussed.

Generation of internal waves by barotropic tidal flow over a steep ridge

Internal tide generation in nonuniformly stratified deep oceans

We present numerical and experimental studies of the conversion of tidal motions of an exponentially stratified fluid over two-dimensional knife edge, Gaussian, and complex bottom topography to

Internal tide generation from isolated seamounts and continental shelves

We model linear, inviscid non-hydrostatic internal tides generated by the interaction of a barotropic tide with variable topography in two dimensions. We first derive an asymptotic solution for the

Tidal conversion and turbulence at a model ridge: direct and large eddy simulations

Abstract Direct and large eddy simulations are performed to study the internal waves generated by the oscillation of a barotropic tide over a model ridge of triangular shape. The objective is to go



Conversion of the Barotropic Tide

Using linear wave theory, the rate at which energy is converted into internal gravity waves by the interaction of the barotropic tide with topography in an ocean is calculated. Bell’s formula for the

The generation of internal tides by flat-bump topography

Internal tide generation by seamounts, ridges, and islands

A numerical investigation is made into the generation of semidiurnal internal tides by tidal flow over steep topographic features in the deep ocean. A fully three-dimensional, free surface,

Topographically generated internal waves in the open ocean

  • T. Bell
  • Environmental Science, Physics
  • 1975
The generation of internal waves by the interaction of deep ocean flows with bottom topography is considered. The interaction of quasi-steady currents with the bottom topography is found to produce

The Role of Internal Tides in Mixing the Deep Ocean

Abstract Internal wave theory is used to examine the generation, radiation, and energy dissipation of internal tides in the deep ocean. Estimates of vertical energy flux based on a previously

Lee waves in stratified flows with simple harmonic time dependence

  • T. Bell
  • Environmental Science, Physics
    Journal of Fluid Mechanics
  • 1975
The process of internal gravity wave generation by the simple harmonic flow (U = U0, cos ω0t) of a stably stratified fluid (Brunt–Väisälä frequency N) over an obstacle is investigated in some detail.

Evidence for enhanced mixing over rough topography in the abyssal ocean

This amount of mixing, probably driven by breaking internal waves that are generated by tidal currents flowing over the rough bathymetry, may be large enough to close the buoyancy budget for the Brazil basin and suggests a mechanism for closing the global overturning circulation.

Abyssal recipes II: energetics of tidal and wind mixing

Stochastic Modeling of Seafloor Morphology: Inversion of Sea Beam Data for Second-Order Statistics

At scale lengths less than 100 km or so, statistical descriptions of seafloor morphology can be usefully employed to characterize ridge crest processes, off-ridge tectonics and vulcanism,

On the Coastal Generation of Internal Tides

Differential equations, boundary, and discontinuity conditions are obtained which relate the internal tide to the surface tide in a two-layer system. Solutions of these equations give internal tides