A Ray Acoustics Model for the Propagation of Aircraft Noise through the Atmosphere

A ray-tracing tool, called RAYTRAC, has been developed to compute the propagation of aircraft noise through a stratified atmosphere. The mathematical model on which RAYTRAC is based is derived from first principles, i.e. the linearized Euler equations for a non-uniform atmosphere. The main result of...

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Bibliographic Details
Published inInternational journal of aeroacoustics Vol. 13; no. 5-6; pp. 363 - 383
Main Author Brouwer, Harry H.
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.10.2014
Subjects
Aeroacoustics
Aircraft noise
Atmospheres
Ground-based observation
Mathematical analysis
Mathematical models
Observers
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Summary:A ray-tracing tool, called RAYTRAC, has been developed to compute the propagation of aircraft noise through a stratified atmosphere. The mathematical model on which RAYTRAC is based is derived from first principles, i.e. the linearized Euler equations for a non-uniform atmosphere. The main result of the model consists of two equations:one for the location of the rays and one for the change in amplitude along each ray. An analysis of these equations is given with respect to their possible solutions under various atmospheric circumstances. Also an efficient iteration procedure is presented that finds the ray connecting the source and a specific observer point. It is shown how multiple rays can be added, with incorporation of a reflecting surface. Finally, the tool is demonstrated by application to two examples that are representative for an aircraft emitting sound to an observer on the ground.
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ISSN:1475-472X
2048-4003
DOI:10.1260/1475-472X.13.5-6.363