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A non-hydrostatic model for wave evolution on a submerged trapezoidal breakwater

Ikha Magdalena Orcid Logo, Hany Q. Rif’atin, M. Syahril Badri Kusuma, Dominic Reeve Orcid Logo

Results in Applied Mathematics, Volume: 18, Start page: 100374

Swansea University Author: Dominic Reeve Orcid Logo

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DOI (Published version): 10.1016/j.rinam.2023.100374

Abstract

A depth-averaged non-hydrostatic model is formulated to investigate wave evolution on a water channel with a submerged trapezoidal breakwater. This model is an extension of nonlinear shallow water equations that includes hydrodynamic pressure and vertical velocity. In the momentum equation, a diffus...

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Published in: Results in Applied Mathematics
ISSN: 2590-0374
Published: Elsevier BV 2023
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URI: https://cronfa.swan.ac.uk/Record/cronfa63387
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first_indexed 2023-05-10T09:50:22Z
last_indexed 2023-05-10T09:50:22Z
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spelling v2 63387 2023-05-10 A non-hydrostatic model for wave evolution on a submerged trapezoidal breakwater 3e76fcc2bb3cde4ddee2c8edfd2f0082 0000-0003-1293-4743 Dominic Reeve Dominic Reeve true false 2023-05-10 CIVL A depth-averaged non-hydrostatic model is formulated to investigate wave evolution on a water channel with a submerged trapezoidal breakwater. This model is an extension of nonlinear shallow water equations that includes hydrodynamic pressure and vertical velocity. In the momentum equation, a diffusion term is also considered to represent the turbulence effects in the system. The equations are solved numerically using a combination of a staggered finite volume method and predictor–corrector procedure. Comparisons are made against three independent laboratory experiments of wave propagation over submerged breakwaters. The level of agreement is higher than with Boussinesq-type and RANS models. The numerical scheme is also used to study the effect of the height, length, and diffusion coefficient of the breakwater on wave propagation. We have found that those characteristics affect the wave similarly by smoothing the wave shape and significantly reducing the transmitted wave amplitude. Journal Article Results in Applied Mathematics 18 100374 Elsevier BV 2590-0374 Wave propagation, Non-hydrostatic model, Predictor–corrector procedure, Composite-slope trapezoidal breakwater 1 5 2023 2023-05-01 10.1016/j.rinam.2023.100374 http://dx.doi.org/10.1016/j.rinam.2023.100374 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2023-06-08T15:29:08.4354698 2023-05-10T10:47:03.6954025 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Ikha Magdalena 0000-0001-7036-7877 1 Hany Q. Rif’atin 2 M. Syahril Badri Kusuma 3 Dominic Reeve 0000-0003-1293-4743 4 63387__27630__d51ebab4fb35424d9d505b05d5e9752d.pdf 63387.pdf 2023-05-30T10:11:24.8703004 Output 3661512 application/pdf Version of Record true © 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). true eng http://creativecommons.org/licenses/by-nc-nd/4.0/
title A non-hydrostatic model for wave evolution on a submerged trapezoidal breakwater
spellingShingle A non-hydrostatic model for wave evolution on a submerged trapezoidal breakwater
Dominic Reeve
title_short A non-hydrostatic model for wave evolution on a submerged trapezoidal breakwater
title_full A non-hydrostatic model for wave evolution on a submerged trapezoidal breakwater
title_fullStr A non-hydrostatic model for wave evolution on a submerged trapezoidal breakwater
title_full_unstemmed A non-hydrostatic model for wave evolution on a submerged trapezoidal breakwater
title_sort A non-hydrostatic model for wave evolution on a submerged trapezoidal breakwater
author_id_str_mv 3e76fcc2bb3cde4ddee2c8edfd2f0082
author_id_fullname_str_mv 3e76fcc2bb3cde4ddee2c8edfd2f0082_***_Dominic Reeve
author Dominic Reeve
author2 Ikha Magdalena
Hany Q. Rif’atin
M. Syahril Badri Kusuma
Dominic Reeve
format Journal article
container_title Results in Applied Mathematics
container_volume 18
container_start_page 100374
publishDate 2023
institution Swansea University
issn 2590-0374
doi_str_mv 10.1016/j.rinam.2023.100374
publisher Elsevier BV
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
url http://dx.doi.org/10.1016/j.rinam.2023.100374
document_store_str 1
active_str 0
description A depth-averaged non-hydrostatic model is formulated to investigate wave evolution on a water channel with a submerged trapezoidal breakwater. This model is an extension of nonlinear shallow water equations that includes hydrodynamic pressure and vertical velocity. In the momentum equation, a diffusion term is also considered to represent the turbulence effects in the system. The equations are solved numerically using a combination of a staggered finite volume method and predictor–corrector procedure. Comparisons are made against three independent laboratory experiments of wave propagation over submerged breakwaters. The level of agreement is higher than with Boussinesq-type and RANS models. The numerical scheme is also used to study the effect of the height, length, and diffusion coefficient of the breakwater on wave propagation. We have found that those characteristics affect the wave similarly by smoothing the wave shape and significantly reducing the transmitted wave amplitude.
published_date 2023-05-01T15:29:06Z
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score 11.012678

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