Transient spheroidal elements for unbounded wave problems

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).


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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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/S0045-7825(98)00044-9
ISSNs: 0045-7825 (print)
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TA Engineering (General). Civil engineering (General)
Divisions : University Structure - Pre August 2011 > Institute of Sound and Vibration Research > Fluid Dynamics and Acoustics
ePrint ID: 166667
Accepted Date and Publication Date:
2 October 1998Published
Date Deposited: 01 Nov 2010 11:51
Last Modified: 31 Mar 2016 13:30

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