An acoustic space-time and the Lorentz transformation in aeroacoustics
Fluid Dynamics
2015-11-18 v3
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.
Keywords
Cite
@article{arxiv.1403.7511,
title = {An acoustic space-time and the Lorentz transformation in aeroacoustics},
author = {Alastair Logan Gregory and Samuel Sinayoko and Anurag Agarwal and Joan Lasenby},
journal= {arXiv preprint arXiv:1403.7511},
year = {2015}
}
Comments
28 pages (including bibliography)