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Free-surface long wave propagation over linear and parabolic transition shelves

Ikha Magdalena, Iryanto, Dominic Reeve Orcid Logo

Water Science and Engineering, Volume: 11, Issue: 4, Pages: 318 - 327

Swansea University Author: Dominic Reeve Orcid Logo

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DOI (Published version): 10.1016/j.wse.2019.01.001

Abstract

Long-period waves pose a threat to coastal communities as they propagate from deep ocean to shallow coastal waters. At the coastline, such waves have a greater height and longer period in comparison with local storm waves, and can cause severe inundation and damage. In this study, we considered line...

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Published in: Water Science and Engineering
ISSN: 16742370
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa48128
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first_indexed 2019-01-10T14:00:57Z
last_indexed 2019-02-25T19:53:47Z
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spelling 2019-02-25T16:09:25.5328882 v2 48128 2019-01-10 Free-surface long wave propagation over linear and parabolic transition shelves 3e76fcc2bb3cde4ddee2c8edfd2f0082 0000-0003-1293-4743 Dominic Reeve Dominic Reeve true false 2019-01-10 CIVL Long-period waves pose a threat to coastal communities as they propagate from deep ocean to shallow coastal waters. At the coastline, such waves have a greater height and longer period in comparison with local storm waves, and can cause severe inundation and damage. In this study, we considered linear long waves in a two-dimensional (vertical-horizontal) domain propagating towards a shoreline over a shallowing shelf. New solutions to the linear shallow water equations were found, through the separation of variables, for two forms of transition shelf morphology: deep water and shallow coastal water horizontal shelves connected by linear and parabolic transition, respectively. Expressions for the transmission and reflection coefficients are presented for each case. The analytical solutions were used to test the results from a novel computational scheme, which was then applied to extending the existing results relating to the reflected and transmitted components of an incident wave. The solutions and computational package provide new tools for coastal managers to formulate improved defence and risk-mitigation strategies. Journal Article Water Science and Engineering 11 4 318 327 16742370 Shallow water equation, Long-period wave, Shoaling, Analytical solution, Numerical solution, Reflection coefficient, Transmission coefficient 31 12 2018 2018-12-31 10.1016/j.wse.2019.01.001 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2019-02-25T16:09:25.5328882 2019-01-10T09:11:11.2699776 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Ikha Magdalena 1 Iryanto 2 Dominic Reeve 0000-0003-1293-4743 3 0048128-10012019091702.pdf magdelena2019.pdf 2019-01-10T09:17:02.8400000 Output 6779170 application/pdf Accepted Manuscript true 2019-01-10T00:00:00.0000000 true eng
title Free-surface long wave propagation over linear and parabolic transition shelves
spellingShingle Free-surface long wave propagation over linear and parabolic transition shelves
Dominic Reeve
title_short Free-surface long wave propagation over linear and parabolic transition shelves
title_full Free-surface long wave propagation over linear and parabolic transition shelves
title_fullStr Free-surface long wave propagation over linear and parabolic transition shelves
title_full_unstemmed Free-surface long wave propagation over linear and parabolic transition shelves
title_sort Free-surface long wave propagation over linear and parabolic transition shelves
author_id_str_mv 3e76fcc2bb3cde4ddee2c8edfd2f0082
author_id_fullname_str_mv 3e76fcc2bb3cde4ddee2c8edfd2f0082_***_Dominic Reeve
author Dominic Reeve
author2 Ikha Magdalena
Iryanto
Dominic Reeve
format Journal article
container_title Water Science and Engineering
container_volume 11
container_issue 4
container_start_page 318
publishDate 2018
institution Swansea University
issn 16742370
doi_str_mv 10.1016/j.wse.2019.01.001
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
document_store_str 1
active_str 0
description Long-period waves pose a threat to coastal communities as they propagate from deep ocean to shallow coastal waters. At the coastline, such waves have a greater height and longer period in comparison with local storm waves, and can cause severe inundation and damage. In this study, we considered linear long waves in a two-dimensional (vertical-horizontal) domain propagating towards a shoreline over a shallowing shelf. New solutions to the linear shallow water equations were found, through the separation of variables, for two forms of transition shelf morphology: deep water and shallow coastal water horizontal shelves connected by linear and parabolic transition, respectively. Expressions for the transmission and reflection coefficients are presented for each case. The analytical solutions were used to test the results from a novel computational scheme, which was then applied to extending the existing results relating to the reflected and transmitted components of an incident wave. The solutions and computational package provide new tools for coastal managers to formulate improved defence and risk-mitigation strategies.
published_date 2018-12-31T03:58:25Z
_version_ 1763752967108820992
score 11.03559

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