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Free-surface long wave propagation over linear and parabolic transition shelves / Ikha Magdalena; Iryanto; Dominic E. Reeve

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

Swansea University Author: Reeve, Dominic

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
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spelling 2019-02-25T16:09:25Z v2 48128 2019-01-10 Free-surface long wave propagation over linear and parabolic transition shelves Dominic Reeve Dominic Reeve true 0000-0003-1293-4743 false 3e76fcc2bb3cde4ddee2c8edfd2f0082 f6e6e27217b3dad5b1d74665cb301402 hlZUD5zXP9CNssJHdRBCXggr5y2nBRz3haj4DmVVDsQ= 2019-01-10 EEN 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 0 0 2018 2018-01-01 10.1016/j.wse.2019.01.001 College of Engineering Engineering CENG EEN Swansea University Coastal Hydrology None 2019-02-25T16:09:25Z 2019-01-10T09:11:11Z College of Engineering Engineering Ikha Magdalena 1 Iryanto 2 Dominic E. Reeve 3 0048128-10012019091702.pdf magdelena2019.pdf 2019-01-10T09:17:02Z Output 6779170 application/pdf AM true Updated Copyright 25/02/2019 2019-01-10T00:00:00 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
Reeve, Dominic
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_***_Reeve, Dominic
author Reeve, Dominic
author2 Ikha Magdalena
Iryanto
Dominic E. 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 College of Engineering
hierarchytype
hierarchy_top_id collegeofengineering
hierarchy_top_title College of Engineering
hierarchy_parent_id collegeofengineering
hierarchy_parent_title College of Engineering
department_str Engineering{{{_:::_}}}College of Engineering{{{_:::_}}}Engineering
document_store_str 1
active_str 1
researchgroup_str Coastal Hydrology
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 2018-01-01T13:05:48Z
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score 10.801898