On the limitation of a diffusion equation model for acoustic predictions of rooms with homogeneous dimensions

In recent years a model for predicting sound fields in enclosures has been proposed, based on the mathematical theory of diffusion. This model is held to be valid for predicting the late reverberation component of the impulse response, on the basis that sufficient reflection events must occur [ Vale...

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Bibliographic Details
Published in:The Journal of the Acoustical Society of America 2010-10, Vol.128 (4), p.1586-1589
Main Authors: Escolano, José, Navarro, Juan M., López, José J.
Format: Article
Language:English
Subjects:
Acoustics
Architectural acoustics
Computer Simulation
Diffusion
Enclosures
Exact sciences and technology
Facility Design and Construction
Fundamental areas of phenomenology (including applications)
Impulse response
Mathematical analysis
Mathematical models
Models, Theoretical
Motion
Numerical Analysis, Computer-Assisted
Physics
Reflection
Sound
Sound fields
Time Factors
Vibration
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Summary:In recent years a model for predicting sound fields in enclosures has been proposed, based on the mathematical theory of diffusion. This model is held to be valid for predicting the late reverberation component of the impulse response, on the basis that sufficient reflection events must occur [ Valeau , J. Acoust. Soc. Am. 119 , 1504-1513 ( 2006 ) ]. The present work determines numerically the extent of reflections necessary for the solution of the diffusion equation model to be accurate in quasi-cubic rooms. Some preliminary numerical experiments have been carried out to determine after how many mean-free times of the impulse response, which is obtained by a geometrical-acoustic approach, gives a similar result to the solution obtained from a diffusion equation model.
ISSN:0001-4966
1520-8524
DOI:10.1121/1.3479756