Space-time domain solutions of the wave equation by a non-singular boundary integral method and Fourier transform.

Klaseboer, E; Sepehrirahnama, S; Chan, DYC

Space-time domain solutions of the wave equation by a non-singular boundary integral method and Fourier transform.

Klaseboer, E Sepehrirahnama, S

Chan, DYC

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Publisher:: Nature Research
Publication Type:: Journal Article
Citation:: Journal of the Acoustical Society of America, 2017, 142, (2), pp. 697-707
Issue Date:: 2017-08

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Field	Value	Language
dc.contributor.author	Klaseboer, E
dc.contributor.author	Sepehrirahnama, S https://orcid.org/0000-0002-3280-3321
dc.contributor.author	Chan, DYC
dc.date.accessioned	2022-07-14T06:40:14Z
dc.date.available	2022-07-14T06:40:14Z
dc.date.issued	2017-08
dc.identifier.citation	Journal of the Acoustical Society of America, 2017, 142, (2), pp. 697-707
dc.identifier.issn	0001-4966
dc.identifier.issn	1520-8524
dc.identifier.uri	http://hdl.handle.net/10453/158917
dc.description.abstract	The general space-time evolution of the scattering of an incident acoustic plane wave pulse by an arbitrary configuration of targets is treated by employing a recently developed non-singular boundary integral method to solve the Helmholtz equation in the frequency domain from which the space-time solution of the wave equation is obtained using the fast Fourier transform. The non-singular boundary integral solution can enforce the radiation boundary condition at infinity exactly and can account for multiple scattering effects at all spacings between scatterers without adverse effects on the numerical precision. More generally, the absence of singular kernels in the non-singular integral equation confers high numerical stability and precision for smaller numbers of degrees of freedom. The use of fast Fourier transform to obtain the time dependence is not constrained to discrete time steps and is particularly efficient for studying the response to different incident pulses by the same configuration of scatterers. The precision that can be attained using a smaller number of Fourier components is also quantified.
dc.format	Print
dc.language	eng
dc.publisher	Nature Research
dc.relation.ispartof	Journal of the Acoustical Society of America
dc.relation.isbasedon	10.1121/1.4996860
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject.classification	Acoustics
dc.title	Space-time domain solutions of the wave equation by a non-singular boundary integral method and Fourier transform.
dc.type	Journal Article
utslib.citation.volume	142
utslib.location.activity	United States
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
utslib.copyright.status	closed_access	*
pubs.consider-herdc	false
dc.date.updated	2022-07-14T06:40:11Z
pubs.issue	2
pubs.publication-status	Published
pubs.volume	142
utslib.citation.issue	2

Abstract:

The general space-time evolution of the scattering of an incident acoustic plane wave pulse by an arbitrary configuration of targets is treated by employing a recently developed non-singular boundary integral method to solve the Helmholtz equation in the frequency domain from which the space-time solution of the wave equation is obtained using the fast Fourier transform. The non-singular boundary integral solution can enforce the radiation boundary condition at infinity exactly and can account for multiple scattering effects at all spacings between scatterers without adverse effects on the numerical precision. More generally, the absence of singular kernels in the non-singular integral equation confers high numerical stability and precision for smaller numbers of degrees of freedom. The use of fast Fourier transform to obtain the time dependence is not constrained to discrete time steps and is particularly efficient for studying the response to different incident pulses by the same configuration of scatterers. The precision that can be attained using a smaller number of Fourier components is also quantified.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/158917