KZK Texas

KZKTexas is a time-domain computer code developed at The University of Texas at Austin to model axisymmetric sound beams in fluids. The code is based on an augmented KZK equation that accounts for nonlinearity, diffraction, thermoviscous absorption, and absorption and dispersion due to an arbitrary number of relaxation phenomena. Two versions of the code are listed below, one for unfocused sources (KZKTexas1) and the other for focused sources (KZKTexas2). A third code (BurgersTX) uses the same algorithm but solves for one-dimensional propagation (no diffraction) in an inhomogeneous fluid. The code is written in Fortran 77 and appears to compile with no problems on most UNIX workstations. A version that was ported to c++ is provided for focused sources.

The principal references for this code are the following:

The dissertation by Lee (1993) (10.1 MB PDF) contains the original listing of the code, the description of algorithm, and test cases. Lee's dissertation is summarized in the article by Lee and Hamilton (1995). The article by Cleveland et al. (1996) describes the inclusion of relaxation and other modifications of the code. For further discussion and comparison with other codes see J. H. Ginsberg and M. F. Hamilton, "Computational Methods," Chapter 11 in Nonlinear Acoustics, edited by M. F. Hamilton and D. T. Blackstock (Academic Press, Boston, 1998).

Results from the code have also been reported in the following manuscripts:

Codes than can be downloaded

KZKTexas1 This codes solves the KZK equation on a spreading grid and is appropriate for the radiation from a flat (unfocused) piston.

KZKTexas2 This codes solves the KZK equation on a uniform grid and is configured for focused sources.

BurgersTX This code solves a very general version of the Burgers equation. It is appropriate for one-dimensional nonlinear waves.

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Some simulation outputs:

Contact Persons:

Some related sites:

Funding agencies include:

Office of Naval Research
National Aeronautics and Space Administration
National Institutes of Health

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robinc@bu.edu http://people.bu.edu/robinc/kzk/ 2007