Abstract
A numerical solution to the generalized Burgers' radial wave equation has been developed which allows one to calculate stepwise the harmonic content of a finite amplitude wave in the frequency domain for the case of plane, cylindrical, or spherical geometries. The finite amplitude wave may have any initial harmonic content and the attenuation coefficient of each harmonic is independently adjustable. Remaining in the frequency domain allows much larger steps than conventional programs which alternate between the time and frequency domain. The algorithm is used to verify the farfield behavior of spherical waves as predicted by D. A. Webster [J. Acoust. Soc. Am. 64, S33(A) (1978)] and to investigate the effect of a large second harmonic attenuation coefficient on the generation of a shock wave.
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