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arXiv · 1403.7511

An acoustic space-time and the Lorentz transformation in aeroacoustics

Alastair Logan Gregory·Samuel Sinayoko·Anurag Agarwal·Joan Lasenby
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Abstract

In this paper we introduce concepts from relativity and geometric algebra to aeroacoustics. We do this using an acoustic space-time transformation within the framework of sound propagation in uniform flows. By using Geometric Algebra we are able to provide a simple geometric interpretation to the space-time transformation, and are able to give neat and lucid derivations of the free-field Green's function for the convected wave equation and the Doppler shift for a stationary observer and a source in uniform rectilinear motion in a uniform flow.

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Alastair Logan Gregory, Samuel Sinayoko, Anurag Agarwal, Joan Lasenby. 2014-03-28. An acoustic space-time and the Lorentz transformation in aeroacoustics. https://arxiv.org/abs/1403.7511

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