Abstract
Recently developed one-dimensional far-field sonic boom propagation model equations are variants of an augmented Burgers equation. The Gulfstream Aerospace Corporation far-field sonic boom propagation tool, GACBoom, employs a numerical approach that consists of operator splitting in the time-domain. The mechanisms in the equation include geometric spreading, atmospheric stratification, nonlinearity, absorption, and dispersion. For propagation of sonic booms in the atmosphere, the predominant dissipative mechanisms are thermoviscous attenuation and molecular relaxation due to diatomic oxygen and nitrogen, the latter of which also contribute to dispersion. One method for utilizing predictions with these mechanisms is to employ a finite difference approximation to the dissipative and dispersive terms in the sonic boom propagation model equation. This paper uses a discrete Fourier analysis to investigate both spatial and temporal discretization ramifications for the dissipative and dispersive components inclu...
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