A Dynamical Model of Wind-Induced Near-Inertial Motions.

Abstract

A semispectral model of upper ocean inertial motions is developed. The model is solved with a Fourier-Chebyshev expansion in the spatial dimensions, and numerically in time. The model allows the user to specify arbitrary vertical profiles of mean stratification and eddy diffusivity. The model is driven by a wind stress function which is an arbitrary function of time. The model is tested against analytic time-dependent Ekman-layer solutions. The comparisons are excellent. The model is used to simulate the response to a delta-function wind stress impulse. Two cases are presented; one with uniform profiles of stratification and eddy diffusivity, and one with nonuniform profiles. Response functions of wavenumber and frequency are computed for current velocity and shear. The response is shown to be in resonance near the lowest two modes of the internal wave dispersion relation. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1981
Accession Number
ADA108687

Entities

People

  • David M. Rubenstein

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundary Layer
  • Chebyshev Polynomials
  • Computational Fluid Dynamics
  • Computational Science
  • Delta Functions
  • Difference Equations
  • Differential Equations
  • Dispersion Relations
  • Equations
  • Equations Of Motion
  • Fluid Dynamics
  • Fourier Series
  • Frequency
  • Internal Waves
  • Numerical Analysis
  • Standing Waves
  • Wind Stress

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Computational Modeling and Simulation