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

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

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: Nov 16, 2015
• Journal: The Journal of the Acoustical Society of America
• Print ISSN: 0001-4966
• Publisher: Acoustical Society of America
• Peer Reviewed: Peer Reviewed
• Volume: 130
• Issue: 3
• Pages: 1420-1429
• DOI: https://doi.org/10.1121/1.3621041
• Public URL: https://durham-repository.worktribe.com/output/1497414