Symbolic Solution of a Multilayer Ocean Waveguide Problem with Arbitrary Depth Dependent Ambient Density and Sound Speed Profiles

Abstract

The main purpose of this thesis was to obtain the symbolic solution of a multilayer (four fluid media) ocean waveguide problem. The waveguide was assumed to have depth-dependent ambient density and sound speed profiles in all fluid media, and arbitrarily shaped boundaries between all fluid media. A system of 28 equations in 17 unknowns was generated by satisfying all of the boundary conditions (including the boundary condition at the source) in cylindrical coordinates. The problem was set up as a weighted least squares problem symbolic solution by the computer program Mathematical. Due to software and hardware constraints, a symbolic solution for the most general case was not obtained. However, by making all of the boundaries plane, parallel boundaries, two cases were successfully programmed, yielding symbolic solutions which were verified by comparison to previously known results.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1991
Accession Number
ADA245476

Entities

People

  • Charles J. Young Jr

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Acoustic Impedance
  • Acoustics
  • Analytic Geometry
  • Computer Programming
  • Computer Programs
  • Computers
  • Coordinate Systems
  • Differential Equations
  • Engineering
  • Equations
  • Signal Processing
  • Three Dimensional
  • Time Dependence
  • Traveling Waves
  • Two Dimensional
  • United States
  • Wave Equations

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Parallel and Distributed Computing.