A stable boundary element method for modelling transient acoustic radiation

D. Chappell; Paul Harris; D. Henwood; R. Chakrabarti

doi:10.1121/1.2202909

A stable boundary element method for modelling transient acoustic radiation

D. Chappell, Paul Harris, D. Henwood, R. Chakrabarti

University of Brighton

Research output: Contribution to journal › Article › peer-review

Abstract

Transient acoustic radiation from a closed axisymmetric three-dimensional object is modeled using the time domain boundary element method. The widely reported instability problems are overcome by reformulating the integral equation to obtain a Burton and Miller type equation in the time domain. The stability of such an approach is mathematically justified and supported by subsequent numerical results. The hyper singular integrals which arise are evaluated using a method valid for any surface discretization. Numerical results for the radiation of a spherical wave are presented and compared with an exact solution. The accuracy and stability of the results are verified for several geometrically different radiating objects.

Original language	English
Pages (from-to)	74-80
Number of pages	7
Journal	Journal of the Acoustical Society of America
Volume	120
Issue number	1
DOIs	https://doi.org/10.1121/1.2202909
Publication status	Published - Jul 2006

Bibliographical note

Keywords

acoustic wave propagation
boundary-elements methods
boundary integral equations
time-domain analysis
numerical stability

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Cite this

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title = "A stable boundary element method for modelling transient acoustic radiation",

abstract = "Transient acoustic radiation from a closed axisymmetric three-dimensional object is modeled using the time domain boundary element method. The widely reported instability problems are overcome by reformulating the integral equation to obtain a Burton and Miller type equation in the time domain. The stability of such an approach is mathematically justified and supported by subsequent numerical results. The hyper singular integrals which arise are evaluated using a method valid for any surface discretization. Numerical results for the radiation of a spherical wave are presented and compared with an exact solution. The accuracy and stability of the results are verified for several geometrically different radiating objects.",

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AU - Chappell, D.

AU - Harris, Paul

AU - Henwood, D.

AU - Chakrabarti, R.

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N2 - Transient acoustic radiation from a closed axisymmetric three-dimensional object is modeled using the time domain boundary element method. The widely reported instability problems are overcome by reformulating the integral equation to obtain a Burton and Miller type equation in the time domain. The stability of such an approach is mathematically justified and supported by subsequent numerical results. The hyper singular integrals which arise are evaluated using a method valid for any surface discretization. Numerical results for the radiation of a spherical wave are presented and compared with an exact solution. The accuracy and stability of the results are verified for several geometrically different radiating objects.

AB - Transient acoustic radiation from a closed axisymmetric three-dimensional object is modeled using the time domain boundary element method. The widely reported instability problems are overcome by reformulating the integral equation to obtain a Burton and Miller type equation in the time domain. The stability of such an approach is mathematically justified and supported by subsequent numerical results. The hyper singular integrals which arise are evaluated using a method valid for any surface discretization. Numerical results for the radiation of a spherical wave are presented and compared with an exact solution. The accuracy and stability of the results are verified for several geometrically different radiating objects.

KW - acoustic wave propagation

KW - boundary-elements methods

KW - boundary integral equations

KW - time-domain analysis

KW - numerical stability

U2 - 10.1121/1.2202909

DO - 10.1121/1.2202909

M3 - Article

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JO - Journal of the Acoustical Society of America

JF - Journal of the Acoustical Society of America

IS - 1

ER -

A stable boundary element method for modelling transient acoustic radiation

Abstract

Bibliographical note

Keywords

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