ON NUMERICAL CALCULATION OF ACOUSTIC FIELD OF PLANE SOURCE

Abstract

The harmonics of an acoustic beam have been evaluated numerically by means of an integral representation according to the perturbation theory. A method for evaluation of the integrals of a rapidly oscillating function has been applied. Special attention has been paid to the accuracy of calculations and an algorithm for error estimation has been proposed. A computer program has been realized, and the profiles of the first and the second harmonics have been plotted. The used methods can be applied for the problem with dissipation or dispersion.

Keywords

• Khokhlov-Zabolotskaya-Kuznetsov equation
• numerical calculation
• oscillating function
• nonlinear acoustics