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Three-dimensional wave-envelope elements of variable order for acoustic radiation and scattering. Part I. Formulation in the frequency domain

Three-dimensional wave-envelope elements of variable order for acoustic radiation and scattering. Part I. Formulation in the frequency domain
Three-dimensional wave-envelope elements of variable order for acoustic radiation and scattering. Part I. Formulation in the frequency domain
Mapped wave-envelope elements of variable radial order are presented for the computation of time-harmonic, unbounded, three-dimensional acoustical fields. Their application to transient problems is described in a companion article ~Part II!. Accuracy is assessed by a comparison of computed and analytic solutions for multi-pole fields generated by a vibrating sphere. Solutions are also presented for plane wave scattering. Elements of radial order m1l are shown to be capable of modeling multi-pole components of order m, although the provision of adequate transverse resolution is shown to be a stringent requirement, particularly at high frequencies. Ill conditioning of the coefficient matrix limits the practical implementation of the method to elements of radial order eleven or less. The utility of the method for more general geometries is demonstrated by the presentation of computed solutions for the sound field generated by the vibration of a cylindrical piston in a plane baffle and of an idealised engine casing under anechoic conditions. The computed results are shown to be in close agreement with the analytic solution in the case of the cylindrical piston, and with a boundary element solution in the case of the engine casing.
0001-4966
49-63
Astley, R.J.
cb7fed9f-a96a-4b58-8939-6db1010f9893
Coyette, J.P.
3e12542e-64a5-4198-a528-0bad21d4a3d3
Cremers, L.
dba7b0f3-f349-4078-b7f8-5d502ff21aab
Macaulay, G.J.
ecb90d79-b284-4f8f-b54d-87ae9b368c48
Astley, R.J.
cb7fed9f-a96a-4b58-8939-6db1010f9893
Coyette, J.P.
3e12542e-64a5-4198-a528-0bad21d4a3d3
Cremers, L.
dba7b0f3-f349-4078-b7f8-5d502ff21aab
Macaulay, G.J.
ecb90d79-b284-4f8f-b54d-87ae9b368c48

Astley, R.J., Coyette, J.P., Cremers, L. and Macaulay, G.J. (1998) Three-dimensional wave-envelope elements of variable order for acoustic radiation and scattering. Part I. Formulation in the frequency domain. Journal of the Acoustical Society of America, 103 (1), 49-63.

Record type: Article

Abstract

Mapped wave-envelope elements of variable radial order are presented for the computation of time-harmonic, unbounded, three-dimensional acoustical fields. Their application to transient problems is described in a companion article ~Part II!. Accuracy is assessed by a comparison of computed and analytic solutions for multi-pole fields generated by a vibrating sphere. Solutions are also presented for plane wave scattering. Elements of radial order m1l are shown to be capable of modeling multi-pole components of order m, although the provision of adequate transverse resolution is shown to be a stringent requirement, particularly at high frequencies. Ill conditioning of the coefficient matrix limits the practical implementation of the method to elements of radial order eleven or less. The utility of the method for more general geometries is demonstrated by the presentation of computed solutions for the sound field generated by the vibration of a cylindrical piston in a plane baffle and of an idealised engine casing under anechoic conditions. The computed results are shown to be in close agreement with the analytic solution in the case of the cylindrical piston, and with a boundary element solution in the case of the engine casing.

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Published date: January 1998

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Local EPrints ID: 166663
URI: https://eprints.soton.ac.uk/id/eprint/166663
ISSN: 0001-4966
PURE UUID: 2d705d88-52d7-4536-8b03-fcf3ab75a0b5

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Date deposited: 01 Nov 2010 11:55
Last modified: 30 Sep 2017 14:56

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Contributors

Author: R.J. Astley
Author: J.P. Coyette
Author: L. Cremers
Author: G.J. Macaulay

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