Coupling of Surface and Internal Gravity Waves: A Hamiltonian Model

Abstract

The dynamics of the coupling of linear internal gravity waves and linear surface gravity waves on the ocean is studied using a Hamiltonian formalism and action-angle variables. The dynamic equations are solved both numerically and in some analytic approximations. The results compare favorably with the interaction experiments of Lewis, Lake and Ko the 'resonant triad' experiments of Joyce and some satellite observations of Apel et al. The growth time for internal waves generated by the resonant interaction of surface waves is calculated using the Garrett-Munk ocean model and the Phillips spectrum for surface waves. Energy exchange rates are deduced.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1974
Accession Number
ADA011775

Entities

People

  • Bruce J. West
  • Bruce T. Cohen
  • Kenneth M. Watson

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Amplitude
  • Differential Equations
  • Dispersion Relations
  • Dynamics
  • Energy
  • Energy Transfer
  • Equations Of Motion
  • Gravity Waves
  • Group Velocity
  • Internal Waves
  • Long Wavelengths
  • Measurement
  • Ocean Waves
  • Oceans
  • Standing Waves
  • Two Dimensional
  • Wave Power

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis

Technology Areas

  • Space