The Resonant Interaction of a Submarine's Wake with a Stratified Fluid

Abstract

Through the use of asymptotic and perturbation methods, this thesis presents a theoretical study of the flow of a stratified fluid over variable topography as a model of the resonant interaction of a submarine's wake with a stratified fluid. Such resonant interactions may be able to produce significant upstream disturbances. The long time solution obtained in our model exhibits growth in time for the resonant case, indicating that perhaps nonlinear effects, balanced by dispersion, could allow the possibility of detecting a submarine by the internal waves its wake generates in the resonant case. Asymptotic Expansion, Nonhomogeneous Two-Dimensional Wave Equation, Internal Waves, Duhamel's Principle, Kirchoff's Solution, Eigenvalue Problem, Long Time Solution.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1993
Accession Number
ADA273046

Entities

People

  • Joseph A. Kowalewski

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • C4I
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Asymptotic Series
  • Computational Fluid Dynamics
  • Computational Science
  • Detection
  • Differential Equations
  • Eigenvalues
  • Equations
  • Equations Of Motion
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Mechanics
  • Partial Differential Equations
  • Stratified Fluids
  • Three Dimensional
  • Wave Equations
  • Waves

Readers

  • Aerodynamics.
  • Calculus or Mathematical Analysis
  • Theoretical Analysis.