ACOUSTIC-GRAVITY WAVES PRODUCED BY ENERGY RELEASE

Abstract

A complete asymptotic analysis is carried out for the flow field produced by the instantaneous release of energy, at a point on the ground, in an isothermal atmosphere. A double integral representation of the flow is constructed from Laplace-Handel transforms of the linearized equations. An asymptotic approximation to the integral is obtained by two successive applications of the method of stationary phase. It is found that there are three principal groups of dispersive waves behind the spherical acoustic front. One of these groups is contained in a high frequency band, and the other two are contained in a low frequency band. The spatial domain of the low frequency waves is cut off by a front (caustic), the location of which is calculated. Some of the characteristics of the flow are discussed.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1968
Accession Number
AD0678507

Entities

People

  • C. Greifinger
  • J. D. Cole

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Acoustic Waves
  • Air Force
  • Atmospheres
  • Corporations
  • Dispersion Relations
  • Doppler Effect
  • Equations
  • Equations Of Motion
  • Flow
  • Frequency
  • Frequency Bands
  • Integrals
  • Molecular Dynamics
  • Sea Level
  • Stationary
  • United States
  • Waves

Fields of Study

  • Mathematics

Readers

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