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Dynamical energy analysis for built-up acoustic systems at high frequencies

Chappell, D.; Giani, S.; Tanner, G.

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Authors

D. Chappell

G. Tanner



Abstract

Standard methods for describing the intensity distribution of mechanical and acoustic wave fields in the high frequency asymptotic limit are often based on flow transport equations. Common techniques are statistical energy analysis, employed mostly in the context of vibro-acoustics, and ray tracing, a popular tool in architectural acoustics. Dynamical energy analysis makes it possible to interpolate between standard statistical energy analysis and full ray tracing, containing both of these methods as limiting cases. In this work a version of dynamical energy analysis based on a Chebyshev basis expansion of the Perron-Frobenius operator governing the ray dynamics is introduced. It is shown that the technique can efficiently deal with multi-component systems overcoming typical geometrical limitations present in statistical energy analysis. Results are compared with state-of-the-art hp-adaptive discontinuous Galerkin finite element simulations.

Citation

Chappell, D., Giani, S., & Tanner, G. (2011). Dynamical energy analysis for built-up acoustic systems at high frequencies. The Journal of the Acoustical Society of America, 130(3), 1420-1429. https://doi.org/10.1121/1.3621041

Journal Article Type Article
Acceptance Date Jul 5, 2011
Publication Date Sep 1, 2011
Deposit Date Feb 12, 2013
Publicly Available Date Mar 28, 2024
Journal The Journal of the Acoustical Society of America
Print ISSN 0001-4966
Electronic ISSN 1520-8524
Publisher Acoustical Society of America
Peer Reviewed Peer Reviewed
Volume 130
Issue 3
Pages 1420-1429
DOI https://doi.org/10.1121/1.3621041

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Copyright Statement
© 2011 Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America. The following article appeared in Chappell, D., Giani, S. and Tanner, G. (2011) 'Dynamical energy analysis for built-up acoustic systems at high frequencies.', Journal of the Acoustical Society of America., 130(3): 1420-1429 and may be found at http://dx.doi.org/10.1121/1.3621041.




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