Papers Published

1. Pinton, Gianmarco F. and Trahey, Gregg E., Numerical methods for axisymmetric and 3D nonlinear beams, Proceedings - IEEE Ultrasonics Symposium, vol. 2 (2005), pp. 1291 - 1294 [ULTSYM.2005.1603089] .
   (last updated on 2007/04/13)

   Abstract:
   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. © 2005 IEEE.

   Keywords:
   Algorithms;Computational geometry;Convergence of numerical methods;Time domain analysis;