Exact solutions for transient spherical radiation
Exact solutions for transient spherical radiation
Closed-form, analytic solutions are derived for exterior wave fields generated by the transient, axisymmetric motion of a spherical boundary. These are intended for use as benchmark problems for assessing the accuracy and correctness of transient numerical schemes. Classical Laplace transform methods are used. The derivation of these solutions is presented in sufficient detail to permit their reconstruction by the reader for multipoles of order n where 0n25. Composite solutions can also be obtained by superposition. A novel solution of this type is presented for the wave field generated by the transient motion of a spherical piston in a spherical baffle. The transient wave fields obtained in this way are shown to be consistent with steady time-harmonic solutions for large times, and with high-resolution transient numerical solutions at finite times.
1848-1858
Hamilton, J.A.
aa3473b6-a0fe-46c6-9b38-98101d63be6b
Astley, R.J.
cb7fed9f-a96a-4b58-8939-6db1010f9893
1 May 2001
Hamilton, J.A.
aa3473b6-a0fe-46c6-9b38-98101d63be6b
Astley, R.J.
cb7fed9f-a96a-4b58-8939-6db1010f9893
Hamilton, J.A. and Astley, R.J.
(2001)
Exact solutions for transient spherical radiation.
Journal of the Acoustical Society of America, 109 (5. Pt. 1), .
(doi:10.1121/1.1365425).
Abstract
Closed-form, analytic solutions are derived for exterior wave fields generated by the transient, axisymmetric motion of a spherical boundary. These are intended for use as benchmark problems for assessing the accuracy and correctness of transient numerical schemes. Classical Laplace transform methods are used. The derivation of these solutions is presented in sufficient detail to permit their reconstruction by the reader for multipoles of order n where 0n25. Composite solutions can also be obtained by superposition. A novel solution of this type is presented for the wave field generated by the transient motion of a spherical piston in a spherical baffle. The transient wave fields obtained in this way are shown to be consistent with steady time-harmonic solutions for large times, and with high-resolution transient numerical solutions at finite times.
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Submitted date: 13 October 2000
Published date: 1 May 2001
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Local EPrints ID: 49217
URI: http://eprints.soton.ac.uk/id/eprint/49217
ISSN: 0001-4966
PURE UUID: e7b73624-bc26-4084-9af0-332a8744ec0f
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Date deposited: 25 Oct 2007
Last modified: 15 Mar 2024 09:54
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Author:
J.A. Hamilton
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