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- W2007656499 abstract "The plane-wave propagation law dt/dx = [c0+βu]−1 ≐ c0−1[1 − βu/c0] is used as the basis of a computer algorithm to calculate the distortion of a finite-amplitude wave. Here x is distance, t time, u particle velocity, and c0 small-signal sound speed; for gases β = (γ + 1)/2, for liquids β = 1 +B/2A. Starting with a time waveform of arbitrary shape, we use a finite-difference form of the above law to calculate the wave shape at successive small distances. After each step in distance the waveform is scanned for multivaluadness to determine whether shocks have formed. When a shock is identified, its propagation is described thereafter by the weak-shock relation (dt/dx)s ≐ c0−1[1 − β(ua + ub)/2c0], where ua and ub are values of u ahead of and behind the shock, respectively. In growing, decaying, and merging, the shocks ultimately determine the shape and amplitude of the wave. The algorithm has been tried on several initial signals, including N waves, sinusoids, and randomly generated waveforms. In general, the algorithm gives excellent agreement with known analytical results. Comparison has also been made with experimental data on pulsed sinusoidal waves in a tube. The algorithm has been developed as a tool to study propagation of very intense noise. [Work supported by ONR, AFOSR, and USN Postgraduate school.]" @default.
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- W2007656499 modified "2023-09-26" @default.
- W2007656499 title "A Computer Algorithm for Predicting Propagation of Intense Acoustic Signals of Arbitrary Waveform" @default.
- W2007656499 doi "https://doi.org/10.1121/1.1982720" @default.
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