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

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,...

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Bibliographic Details
Published in:The Journal of the Acoustical Society of America 2011-09, Vol.130 (3), p.1420-1429
Main Authors: Chappell, D. J., Giani, S., Tanner, G.
Format: Article
Language:English
Subjects:
Acoustics
Architectural acoustics
Asymptotic properties
Computer Simulation
Dynamical systems
Dynamics
Exact sciences and technology
Facility Design and Construction
Finite Element Analysis
Fundamental areas of phenomenology (including applications)
High frequencies
Linear Models
Models, Statistical
Models, Theoretical
Motion
Numerical Analysis, Computer-Assisted
Physics
Ray tracing
Sound
Statistical energy analysis
Structural acoustics and vibration
Time Factors
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Summary: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.
ISSN:0001-4966
1520-8524
DOI:10.1121/1.3621041