Abstract
The nonlinear progressive wave equation (NPE) model, developed by McDonald and Kuperman [J. Acoust. Soc. Am. 81, 1406–1417 (1987)] has been adapted for atmospheric propagation in order to model the effect of turbulence on the shape of sonic boom profiles. As a test of the efficacy of this adaption, the program was run with a relatively simple scenario conceived in a theoretical analysis by Pierce [J. Acoust. Soc. Am. 44, 1052 (1968)]. In that paper, spiked and rounded variations of N-wave shock profiles were shown to result from focusing and defocusing, respectively, of an initially rippled wave front propagating in a homogeneous medium. The acoustic pressure versus time profiles generated by the NPE are compared to those predicted by Pierce. Specific improvements and modifications to the NPE are discussed, as well as the intended use of the model to simulate propagation of N waves through an inhomogeneous medium. [Work supported by NASA.]
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