Amplitude Functions and the Analog of the Kelvin Wedge for Three-Dimensional Internal Waves Generated by a Moving Disturbance.

Abstract

Internal waves are generated by a dipole of arbitrary orientation moving on an inclined rectilinear path in a stratified fluid whose Brunt-Vaisala frequency is constant. Expressions for the asymptotic behavior of the phase and the amplitude are obtained by applying the method of Lighthill. The global geometry of the surfaces of constant phase is considered, and there is shown to be an internal wave cone, analogous to the Kelvin wedge for surface waves. Contours of wave amplitude are calculated for different orientations of the dipole, and various sidelobe patterns are found. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 23, 1976
Accession Number
ADA024452

Entities

People

  • William B. Heard

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Doppler Effect
  • Frequency
  • Frequency Shift
  • Geometry
  • Internal Waves
  • Orientation (Direction)
  • Sidelobes
  • Stratified Fluids
  • Surface Waves
  • Three Dimensional
  • Waves

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.