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Transient spheroidal elements for unbounded wave problems

Transient spheroidal elements for unbounded wave problems
Transient spheroidal elements for unbounded wave problems
A wave-envelope element numerical scheme is applied to the solution of unbounded wave problems. The scheme is based on a Fourier transformation of a discrete model formulated in the frequency domain. This yields a discrete system of ordinary differential equations in time which are local in space. Oblate and prolate spheroidal element geometries are used. The accuracy of the scheme is demonstrated by a comparison of computed and analytic solutions for axisymmetric test cases. Time-harmonic and transient solution are presented. An indirect solution procedure is also presented which permits the sparsity of the transient equations to be utilised more effectively.

0045-7825
3-15
Astley, R.J.
cb7fed9f-a96a-4b58-8939-6db1010f9893
Astley, R.J.
cb7fed9f-a96a-4b58-8939-6db1010f9893

Astley, R.J. (1998) Transient spheroidal elements for unbounded wave problems. Computer Methods in Applied Mechanics and Engineering, 164 (1-2), 3-15. (doi:10.1016/S0045-7825(98)00044-9).

Record type: Article

Abstract

A wave-envelope element numerical scheme is applied to the solution of unbounded wave problems. The scheme is based on a Fourier transformation of a discrete model formulated in the frequency domain. This yields a discrete system of ordinary differential equations in time which are local in space. Oblate and prolate spheroidal element geometries are used. The accuracy of the scheme is demonstrated by a comparison of computed and analytic solutions for axisymmetric test cases. Time-harmonic and transient solution are presented. An indirect solution procedure is also presented which permits the sparsity of the transient equations to be utilised more effectively.

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Published date: 2 October 1998

Identifiers

Local EPrints ID: 166667
URI: http://eprints.soton.ac.uk/id/eprint/166667
ISSN: 0045-7825
PURE UUID: 4105cc04-d786-449b-9b1c-c22553e9349e

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Date deposited: 01 Nov 2010 11:51
Last modified: 14 Mar 2024 02:14

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