Spectral Formulation of Internal Wave Interaction.

Abstract

Fourier representations of the equations of motion for a rotating stratified fluid are obtained both in two-dimensional and three-dimensional wave number space. It is shown that these spectral equations can be further transformed to reveal explicitly the interaction between waves and waves and between waves and eddies by decomposing the Fourier coefficients in terms of three basis functions, that correspond to the 'upward' propagating and the 'downward' propagating wave modes and the zero frequency horizontal eddy mode in the linear analysis. In the case of two-dimensional rotating stratified fluid motion, the transformation is made and full spectral equations up to second moments for these basis functions are derived. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1982
Accession Number
ADA128729

Entities

People

  • Clin Shen
  • Greg Holloway

Organizations

  • University of Washington

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Coefficients
  • Conduction (Heat Transfer)
  • Energy
  • Energy Transfer
  • Equations
  • Equations Of Motion
  • Frequency
  • Frequency Shift
  • Gravity Waves
  • Internal Waves
  • Military Research
  • Stratified Fluids
  • Three Dimensional
  • Turbulence
  • United States
  • Waves

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space