Numerical methods for axisymmetric and 3D nonlinear beams

Journal Article

Time domain algorithms that solve the Khokhlov-Zabolotzskaya-Kuznetsov (KZK) equation are described and implemented. This equation represents the propagation of finite amplitude sound beams in a homogenous thermoviscous fluid for axisymmetric and fully three dimensional geometries. In the numerical solution each of the terms is considered separately and the numerical methods are compared with known solutions. First and second order operator splitting are used to combine the separate terms in the KZK equation and their convergence is examined.

Full Text

Duke Authors

Cited Authors

  • Pinton, GF; Trahey, GE

Published Date

  • 2005

Published In

Volume / Issue

  • 5750 /

Start / End Page

  • 388 - 396

International Standard Serial Number (ISSN)

  • 1605-7422

Digital Object Identifier (DOI)

  • 10.1117/12.595910