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Regularisation of the equivalent source method for robust numerical modelling of acoustic scattering

Regularisation of the equivalent source method for robust numerical modelling of acoustic scattering
Regularisation of the equivalent source method for robust numerical modelling of acoustic scattering
The equivalent source method can be used to model acoustic scattering, by representing the scattering object with a set of equivalent sources that satisfy a boundary condition. The equivalent source strengths are optimised by a least-squares method. When the equivalent sources are positioned further from the boundary to reduce the boundary condition error, the optimisation becomes ill-conditioned. This limits the application of the equivalent source method in irregularly-shaped objects as boundary condition error is highly sensitive to equivalent source placement. To overcome the problem of ill-conditioning, a regularisation parameter is introduced, which increases the robustness to errors in the modelled acoustic field by limiting the power of overdriven equivalent sources. Simulations of a rigid infinite wall with an equivalent dipole line-array, reveal that regularisation reduces boundary condition error in all ill-conditioned cases. Good trade-offs between boundary condition error and regularisation are achieved for a wide range of regularisation parameter values. This allows the results to be calculated for varying frequencies and distances between the equivalent sources and the boundary. Regularisation reduces the sensitivity of boundary condition error to equivalent source placement, thereby increasing the flexibility of the equivalent source method for irregularly-shaped scattering objects
Lam, Bhan
8e452f50-4c7d-4d4e-913a-34015e99b9dc
Elliott, Stephen J.
721dc55c-8c3e-4895-b9c4-82f62abd3567
Gan, Woon-Seng
1936c59c-0552-498c-86a4-20bb81bb561a
Lam, Bhan
8e452f50-4c7d-4d4e-913a-34015e99b9dc
Elliott, Stephen J.
721dc55c-8c3e-4895-b9c4-82f62abd3567
Gan, Woon-Seng
1936c59c-0552-498c-86a4-20bb81bb561a

Lam, Bhan, Elliott, Stephen J. and Gan, Woon-Seng (2015) Regularisation of the equivalent source method for robust numerical modelling of acoustic scattering. 44th International Congress on Noise Control Engineering (inter.noise 2015), San Francisco, United States. 09 - 12 Aug 2015.

Record type: Conference or Workshop Item (Paper)

Abstract

The equivalent source method can be used to model acoustic scattering, by representing the scattering object with a set of equivalent sources that satisfy a boundary condition. The equivalent source strengths are optimised by a least-squares method. When the equivalent sources are positioned further from the boundary to reduce the boundary condition error, the optimisation becomes ill-conditioned. This limits the application of the equivalent source method in irregularly-shaped objects as boundary condition error is highly sensitive to equivalent source placement. To overcome the problem of ill-conditioning, a regularisation parameter is introduced, which increases the robustness to errors in the modelled acoustic field by limiting the power of overdriven equivalent sources. Simulations of a rigid infinite wall with an equivalent dipole line-array, reveal that regularisation reduces boundary condition error in all ill-conditioned cases. Good trade-offs between boundary condition error and regularisation are achieved for a wide range of regularisation parameter values. This allows the results to be calculated for varying frequencies and distances between the equivalent sources and the boundary. Regularisation reduces the sensitivity of boundary condition error to equivalent source placement, thereby increasing the flexibility of the equivalent source method for irregularly-shaped scattering objects

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More information

Published date: 11 August 2015
Venue - Dates: 44th International Congress on Noise Control Engineering (inter.noise 2015), San Francisco, United States, 2015-08-09 - 2015-08-12
Organisations: Signal Processing & Control Grp

Identifiers

Local EPrints ID: 380528
URI: http://eprints.soton.ac.uk/id/eprint/380528
PURE UUID: e3096401-6110-4eda-be8a-adb57b23b47d
ORCID for Bhan Lam: ORCID iD orcid.org/0000-0002-0552-5506

Catalogue record

Date deposited: 11 Sep 2015 13:25
Last modified: 15 Mar 2024 03:37

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Contributors

Author: Bhan Lam ORCID iD
Author: Woon-Seng Gan

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