Nonlinear Interactions Between Oblique Wind Waves

Abstract

The nonlinear interaction between two oblique wind waves with the same wave speed is analyzed. The primary fluctuation, whose steepness is of the order of the cube of the density ratio of air to water, interacts with a secondary fluctuation of smaller steepness. The case where the secondary-wave frequency is higher than the primary frequency is studied. The nonlinear interaction generates N difference modes, where N is the smallest integer not less than the ratio of the secondary to primary frequencies. The amplitudes of the nonlinearly generated difference modes can grow faster than exponentially, and they can approach an exponential-of-an exponential growth stage.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 2015
Accession Number
AD1002002

Entities

People

  • Sang S. Lee

Organizations

  • Naval Surface Warfare Center

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Amplitude
  • Birds
  • Boundary Layer
  • Differential Equations
  • Dispersion Relations
  • Doppler Effect
  • Equations
  • Fluid Flow
  • Frequency
  • Integral Equations
  • Plane Waves
  • Reynolds Number
  • Secondary Waves
  • Turbulent Mixing
  • Two Dimensional
  • Unsteady Flow
  • Waves

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.