Archives of Acoustics, 21, 1, pp. 29-34, 1996

Dependence of harmonic generation on primary wave pressure distribution

Anna Baranowska
Gdańsk University of Technology, Department of Mathematical and Numerical Analysis, Gabriela Narutowicza 11/12, 80-952 Gdańsk

The aim of this paper is theoretical analysis of harmonic generation during finite amplitude
wave propagation. The paper presents mathematical model and some results of numerical
calculations. The mathematical model was built on the basis of the KZK equation. To solve
the problem the Fourier series expansion and finite-difference method were applied. The harmonic
pressure amplitudes as a function of axial distance and their transverse distributions at
fixed distances from the source were examined. The pressure amplitude distributions at horizontal
section were investigated, too. The calculations were carried out for different pressure
distributions on the circular source and different values of medium parameters.
Keywords: nonlinear acoustics, wave propagation, numerical methods in physics.
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