Boundary element solution for periodic acoustic problems

Karimi, M; Croaker, P; Kessissoglou, N

Boundary element solution for periodic acoustic problems

Karimi, M

Croaker, P Kessissoglou, N

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Publisher:: ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
Publication Type:: Journal Article
Citation:: Journal of Sound and Vibration, 2016, 360, (6), pp. 129-139
Issue Date:: 2016-01-06

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Field	Value	Language
dc.contributor.author	Karimi, M https://orcid.org/0000-0002-2949-5364
dc.contributor.author	Croaker, P
dc.contributor.author	Kessissoglou, N
dc.date.accessioned	2022-08-11T06:46:34Z
dc.date.available	2022-08-11T06:46:34Z
dc.date.issued	2016-01-06
dc.identifier.citation	Journal of Sound and Vibration, 2016, 360, (6), pp. 129-139
dc.identifier.issn	1095-8568
dc.identifier.issn	1095-8568
dc.identifier.uri	http://hdl.handle.net/10453/159951
dc.description.abstract	This work shows when using the boundary element method to solve 3D acoustic scattering problems from periodic structures, the coefficient matrix can be represented as a block Toeplitz matrix. By exploiting the Toeplitz structure, the computational time and storage requirements to construct the coefficient matrix are significantly reduced. To solve the linear system of equations, the original matrix is embedded into a larger and more structured matrix called the block circulant matrix. Discrete Fourier transform is then employed in an iterative algorithm to solve the block Toeplitz system. To demonstrate the effectiveness of the formulation for periodic acoustic problems, two exterior acoustic case studies are considered. The first case study examines a continuous structure to predict the noise generated by a sharp-edged flat plate under quadrupole excitation. Directivity plots obtained using the periodic boundary element method technique are compared with numerical results obtained using a conventional boundary element model. The second case study examines a discrete periodic structure to predict the acoustic performance of a sonic crystal noise barrier. Results for the barrier insertion loss are compared with both finite element results and available data in the literature.
dc.language	English
dc.publisher	ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
dc.relation.ispartof	Journal of Sound and Vibration
dc.relation.isbasedon	10.1016/j.jsv.2015.09.022
dc.rights	info:eu-repo/semantics/restrictedAccess
dc.subject	02 Physical Sciences, 09 Engineering
dc.subject.classification	Acoustics
dc.title	Boundary element solution for periodic acoustic problems
dc.type	Journal Article
utslib.citation.volume	360
utslib.for	02 Physical Sciences
utslib.for	09 Engineering
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
utslib.copyright.status	in_progress	*
dc.date.updated	2022-08-11T06:46:32Z
pubs.issue	6
pubs.publication-status	Published
pubs.volume	360
utslib.citation.issue	6

Abstract:

This work shows when using the boundary element method to solve 3D acoustic scattering problems from periodic structures, the coefficient matrix can be represented as a block Toeplitz matrix. By exploiting the Toeplitz structure, the computational time and storage requirements to construct the coefficient matrix are significantly reduced. To solve the linear system of equations, the original matrix is embedded into a larger and more structured matrix called the block circulant matrix. Discrete Fourier transform is then employed in an iterative algorithm to solve the block Toeplitz system. To demonstrate the effectiveness of the formulation for periodic acoustic problems, two exterior acoustic case studies are considered. The first case study examines a continuous structure to predict the noise generated by a sharp-edged flat plate under quadrupole excitation. Directivity plots obtained using the periodic boundary element method technique are compared with numerical results obtained using a conventional boundary element model. The second case study examines a discrete periodic structure to predict the acoustic performance of a sonic crystal noise barrier. Results for the barrier insertion loss are compared with both finite element results and available data in the literature.

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http://hdl.handle.net/10453/159951