A numerical method for general finite amplitude wave propagation in two dimensions and its application to spark pulses

Victor Ward Sparrow, Richard Raspet

Research output: Contribution to journalArticle

52 Citations (Scopus)

Abstract

The general equations of finite amplitude acoustics, including classical absorption effects and second-order nonlinear effects, are written in a form suitable for two-dimensional numerical solution. A finite difference scheme then is applied to numerically solve the equations. To demonstrate the method, examples are given of spherical free-field propagation, normal plane reflection from a hard surface, and oblique spherical reflection from a hard surface for spark pulses. This method has an advantage over Burgers’ equation methods, one-way wave equation methods, and Pestorius type algorithms in that it can predict the interaction of multiple finite amplitude acoustic waves at arbitrary propagation angles.

Original languageEnglish (US)
Pages (from-to)2683-2691
Number of pages9
JournalJournal of the Acoustical Society of America
Volume90
Issue number5
DOIs
StatePublished - Jan 1 1991

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sparks
wave propagation
Burger equation
propagation
acoustics
pulses
wave equations
interactions
Pulse
Waves
Equations
Acoustics

All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

Cite this

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