A Numerical Solution of the Second-Order-Nonlinear Acoustic Wave Equation in One and in Three Dimensions.

Abstract

The effects of moderate nonlinearity on the propagation of sound are appreciable, and become dominant at very high amplitudes. These effects and the phenomena of linear acoustics are described by the second-order-nonlinear wave equation, which is derived in this thesis and solved by numerical means. The validity of the solution is demonstrated by its agreement with various approximations in their domains of applicability, and by its reproduction of results derived from experiments. Using the numerical solution in simulation of the operation of acoustic transducers at finite amplitudes, conclusions are presented concerning the amount of energy that may be transmitted to the far field by various types of signals. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 08, 1981
Accession Number
ADA103148

Entities

People

  • Francis Speed Mckendree

Organizations

  • Pennsylvania State University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Acoustic Waves
  • Acoustics
  • Computational Science
  • Computer Programs
  • Differential Equations
  • Diffraction
  • Electrical Solitons
  • Equations
  • Far Field
  • Partial Differential Equations
  • Simulations
  • Solitons
  • Three Dimensional
  • Wave Equations
  • Wave Propagation
  • Waveforms

Readers

  • Acoustics.
  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation