An Explicit Scheme for the Prediction of Ocean Acoustic Propagation in Three Dimensions.

Abstract

Because of excessive computation time, solving the parabolic equation in higher dimensions by means of implicit finite difference schemes seems to be impracticle even if the scheme is unconditionally stable. To economize the computation time and computer storage, a stable explicit finite difference scheme is introduced for the solution of the parabolic equation of the Schroedinger type. This explicit scheme involves five spatial points and is conditionally stable by introducing and additional dissipative term. The complete theory with respect to the stability is proved. An application to a three-dimensional ocean acoustic propagation problem is included to demonstrate its validity.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1985
Accession Number
ADA160053

Entities

People

  • Dongjin Lee
  • Lin Shen
  • T. F. Chan

Organizations

  • Yale University

Tags

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Acoustic Waves
  • Computer Science
  • Equations
  • Military Research
  • Ocean Waves
  • Sound Waves
  • Stability Conditions
  • Three Dimensional
  • Two Dimensional
  • Universities
  • Wave Equations
  • Wave Propagation
  • Waves

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)