Dr Jonathan Hargreaves J.A.Hargreaves@salford.ac.uk
Lecturer
A transient boundary element method for acoustic scattering from mixed regular and thin rigid bodies
Hargreaves, JA; Cox, TJ
Authors
Prof Trevor Cox T.J.Cox@salford.ac.uk
Professor
Abstract
Boundary Element Methods (BEMs) may be used to predict the scattering of sound by obstacles, which has accelerated the prototyping of new room acoustic treatments such as diffusers. Unlike the more popular frequency domain method, the time domain BEM is usually solved in an iterative manner which means it can exhibit instability, a crucial impediment to its widespread use. These instabilities are primarily associated with the resonance of cavities formed by closed surface sections, but may also be caused by discretisation or integration error corrupting physical damped resonances.
Regular BEM implementations cannot model objects with thin sections due to a phenomenon known as Thin Shape Breakdown. This paper develops an algorithm which combines an accepted approach for modelling thin plates with the Combined Field Integral Equation which eradicates cavity resonances, thereby permitting models of mixed regular and thin bodies. Accuracy and stability are tested by comparison to verified frequency domain BEMs, examination of the transient response, and pole decomposition. This is done for a simple obstacle and a Schroeder diffuser, which comprises a series of wells separated by thin fins. The approach is successful but universal stability cannot be guaranteed for the diffuser. It is suggested that instability is caused by the lightly damped resonances of the wells being corrupted into divergent behaviour by numerical errors.
Citation
Hargreaves, J., & Cox, T. (2009). A transient boundary element method for acoustic scattering from mixed regular and thin rigid bodies. Acta acustica united with Acustica, 95(4), 678-689. https://doi.org/10.3813/AAA.918196
Journal Article Type | Article |
---|---|
Publication Date | Jul 1, 2009 |
Deposit Date | Apr 12, 2011 |
Publicly Available Date | Apr 5, 2016 |
Journal | Acta Acustica united with Acustica |
Print ISSN | 1610-1928 |
Electronic ISSN | 1861-9959 |
Publisher | Hirzel Verlag |
Peer Reviewed | Peer Reviewed |
Volume | 95 |
Issue | 4 |
Pages | 678-689 |
DOI | https://doi.org/10.3813/AAA.918196 |
Publisher URL | http://dx.doi.org/10.3813/AAA.918196 |
Additional Information | Funders : Engineering and Physical Sciences Research Council (EPSRC) |
Files
Accepted Version
(763 Kb)
PDF
You might also like
Analysis and control of acoustic modes in cylindrical cavities with application to Direct Field Acoustic Noise (DFAN) testing
(2022)
Presentation / Conference
A time method version of the transfer matrix method
(2021)
Journal Article
A tutorial on the finite and boundary element methods in acoustics
(2021)
Journal Article
Downloadable Citations
About USIR
Administrator e-mail: library-research@salford.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search