Transient wave envelope elements for wave problems
Transient wave envelope elements for wave problems
A novel family of infinite wave envelope elements is described which can be used in conjunction with conventional finite elements to model the transient wave equation in unbounded regions. The elements are obtained by applying an inverse Fourier transformation to a mapped wave envelope formulation in the frequency domain. The discrete transient equations obtained in this way can be applied to two-dimensional and three-dimensional problems without restriction, being valid over a full range of excitation frequencies. The effectiveness and accuracy of the method is demonstrated in application to simple test cases which involve the calculation of transient sound fields generated by pulsating spheres and cylinders excited from rest in an unbounded region. Test solutions are compared to analytic solutions and to finite element solutions obtained by using large computational grids which extend beyond the region influenced by the transient disturbance.
245-261
Astley, R.J.
cb7fed9f-a96a-4b58-8939-6db1010f9893
25 April 1996
Astley, R.J.
cb7fed9f-a96a-4b58-8939-6db1010f9893
Astley, R.J.
(1996)
Transient wave envelope elements for wave problems.
Journal of Sound and Vibration, 192 (1), .
(doi:10.1006/jsvi.1996.0186).
Abstract
A novel family of infinite wave envelope elements is described which can be used in conjunction with conventional finite elements to model the transient wave equation in unbounded regions. The elements are obtained by applying an inverse Fourier transformation to a mapped wave envelope formulation in the frequency domain. The discrete transient equations obtained in this way can be applied to two-dimensional and three-dimensional problems without restriction, being valid over a full range of excitation frequencies. The effectiveness and accuracy of the method is demonstrated in application to simple test cases which involve the calculation of transient sound fields generated by pulsating spheres and cylinders excited from rest in an unbounded region. Test solutions are compared to analytic solutions and to finite element solutions obtained by using large computational grids which extend beyond the region influenced by the transient disturbance.
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Published date: 25 April 1996
Identifiers
Local EPrints ID: 166485
URI: http://eprints.soton.ac.uk/id/eprint/166485
ISSN: 0022-460X
PURE UUID: 65d1762e-171a-4c6a-a19c-757cc3029127
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Date deposited: 29 Oct 2010 08:32
Last modified: 14 Mar 2024 02:13
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