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Seiches and harbour oscillations in a porous semi-closed basin

Dominic Reeve Orcid Logo

Applied Mathematics and Computation, Volume: 369, Start page: 124835

Swansea University Author: Dominic Reeve Orcid Logo

Abstract

In this paper, we investigate the propagation of long waves in to a harbour with three different porous bottom configurations. The governing shallow water equations are modified to include additional terms to model the porous region. Analytical solutions are sought in the non-porous bottom case usin...

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Published in: Applied Mathematics and Computation
ISSN: 0096-3003
Published: Elsevier BV 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa52447
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spelling 2019-10-16T09:06:47.8399407 v2 52447 2019-10-15 Seiches and harbour oscillations in a porous semi-closed basin 3e76fcc2bb3cde4ddee2c8edfd2f0082 0000-0003-1293-4743 Dominic Reeve Dominic Reeve true false 2019-10-15 CIVL In this paper, we investigate the propagation of long waves in to a harbour with three different porous bottom configurations. The governing shallow water equations are modified to include additional terms to model the porous region. Analytical solutions are sought in the non-porous bottom case using a separation of variables method to provide the natural resonant periods of the basin for the three different harbour geometries. For fixed basin length the lowest resonant frequency increases as the profile goes from rectangular to parabolic to triangular. However, the rate of amplification increases from triangular, rectangular to parabolic. A computational scheme is proposed, using a finite volume method on a staggered grid, and is validated against the analytical solution prior to being used to investigate the effect of porosity and friction on wave resonance. The relative effectiveness of friction and porosity in controlling resonance is found to be dependent on basin geometry. Journal Article Applied Mathematics and Computation 369 124835 Elsevier BV 0096-3003 15 3 2020 2020-03-15 10.1016/j.amc.2019.124835 http://dx.doi.org/10.1016/j.amc.2019.124835 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2019-10-16T09:06:47.8399407 2019-10-15T15:31:52.3872505 Dominic Reeve 0000-0003-1293-4743 1 52447__15632__d8cd4433c1e44ef0a475c31317384609.pdf magdelena2019v2.pdf 2019-10-16T09:05:35.9430000 Output 6779170 application/pdf Accepted Manuscript true 2019-10-16T00:00:00.0000000 false eng
title Seiches and harbour oscillations in a porous semi-closed basin
spellingShingle Seiches and harbour oscillations in a porous semi-closed basin
Dominic Reeve
title_short Seiches and harbour oscillations in a porous semi-closed basin
title_full Seiches and harbour oscillations in a porous semi-closed basin
title_fullStr Seiches and harbour oscillations in a porous semi-closed basin
title_full_unstemmed Seiches and harbour oscillations in a porous semi-closed basin
title_sort Seiches and harbour oscillations in a porous semi-closed basin
author_id_str_mv 3e76fcc2bb3cde4ddee2c8edfd2f0082
author_id_fullname_str_mv 3e76fcc2bb3cde4ddee2c8edfd2f0082_***_Dominic Reeve
author Dominic Reeve
author2 Dominic Reeve
format Journal article
container_title Applied Mathematics and Computation
container_volume 369
container_start_page 124835
publishDate 2020
institution Swansea University
issn 0096-3003
doi_str_mv 10.1016/j.amc.2019.124835
publisher Elsevier BV
url http://dx.doi.org/10.1016/j.amc.2019.124835
document_store_str 1
active_str 0
description In this paper, we investigate the propagation of long waves in to a harbour with three different porous bottom configurations. The governing shallow water equations are modified to include additional terms to model the porous region. Analytical solutions are sought in the non-porous bottom case using a separation of variables method to provide the natural resonant periods of the basin for the three different harbour geometries. For fixed basin length the lowest resonant frequency increases as the profile goes from rectangular to parabolic to triangular. However, the rate of amplification increases from triangular, rectangular to parabolic. A computational scheme is proposed, using a finite volume method on a staggered grid, and is validated against the analytical solution prior to being used to investigate the effect of porosity and friction on wave resonance. The relative effectiveness of friction and porosity in controlling resonance is found to be dependent on basin geometry.
published_date 2020-03-15T04:06:21Z
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