A Normal Mode Computer Program for Calculating Sound Propagation in Shallow Water with an Arbitrary Velocity Profile.

Abstract

A computer program has been written in FORTRAN 3400/3600/3800 which solves the Z dependent part of the Helmholtz equation for a two fluid shallow water model by means of a finite difference technique. Sound speed profiles for the model are entered as discrete sets of points. The first fluid is subdivided into N incremental layers to permit the use of the finite difference equations. A linear interpolation is performed between the profile depths and the depths at which the incremental layers are defined to give sound speeds for the latter. The boundary conditions for continuity of acoustic pressure and the vertical particle velocity are matched at the interface between the two fluids. The effect on each normal mode amplitude in the first fluid due to an assumed small absorption in the second fluid is found. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1972
Accession Number
AD0737629

Entities

People

  • Alfred V. Newman
  • Frank Ingenito

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Absorption
  • Amplitude
  • Boundaries
  • Computer Programs
  • Computers
  • Continuity
  • Difference Equations
  • Differential Equations
  • Equations
  • Fluids
  • Helmholtz Equations
  • Interpolation
  • Mathematical Analysis
  • Particles
  • Shallow Water
  • Water

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)