On Universality and Saturation in Ocean Internal Waves

Abstract

The apparent regularity in energy distribution among internal-wave space and time scales may be a saturation phenomenon. This paper develops a model of the saturated internal-wave field based on the hypothesis that the saturated quantity is omega squared/N squared, the locally normalized squared vorticity. This quantity, which is a generalized inverse Richardson number for spatially varying flow, is shown in the linearized approximation to be the density of a conserved 'excitation; I; the excitation is assumed to be uniformly partitioned among the normal modes in a saturated field. The resulting energy distribution differs from that of Garratt and Munk in that energy is assigned preferentially to the lowest modes. Among the properties derived for this distribution, and subject to verification by ocean measurements, is a universal law, independent of the stratification profile N(z), for coherence spectra of isopycnals in the spatial domain.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1975
Accession Number
ADA009107

Entities

People

  • D. M. Milder

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Amplitude
  • Dynamics
  • Eigenvalues
  • Eigenvectors
  • Energy
  • Energy Transfer
  • Equations
  • Excitation
  • Flow
  • Fluid Dynamics
  • Frequency
  • Intensity
  • Internal Waves
  • Measurement
  • Richardson Number
  • Spectra
  • Waves

Readers

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

Technology Areas

  • Space