Solitary wave transformation, breaking and run-up at a beach
A validated one-dimensional Boussinesq–non-linear shallow water equations numerical model was used to investigate the interaction of solitary waves with beaches. The numerical model requires two adjustable parameters: the bed friction coefficient and a wave breaking parameter. Excellent agreement wa...
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Online Access: | http://dx.doi.org/10.1680/maen.2006.159.3.97 https://www.icevirtuallibrary.com/doi/pdf/10.1680/maen.2006.159.3.97 |
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crtelford:10.1680/maen.2006.159.3.97 2024-09-15T18:16:01+00:00 Solitary wave transformation, breaking and run-up at a beach Borthwick, A. G. L. Ford, M. Weston, B. P. Taylor, P. H. Stansby, P. K. 2006 http://dx.doi.org/10.1680/maen.2006.159.3.97 https://www.icevirtuallibrary.com/doi/pdf/10.1680/maen.2006.159.3.97 en eng Thomas Telford Ltd. Proceedings of the Institution of Civil Engineers - Maritime Engineering volume 159, issue 3, page 97-105 ISSN 1741-7597 1751-7737 journal-article 2006 crtelford https://doi.org/10.1680/maen.2006.159.3.97 2024-07-25T04:18:01Z A validated one-dimensional Boussinesq–non-linear shallow water equations numerical model was used to investigate the interaction of solitary waves with beaches. The numerical model requires two adjustable parameters: the bed friction coefficient and a wave breaking parameter. Excellent agreement was achieved between the numerical predictions of solitary wave transformation and run-up at a plane beach with two sets of high-quality laboratory measurements: one a large number of experiments in a wave flume by Synolakis, the other in the UK Coastal Research Facility. A parameter study investigated the effect of uniform offshore water depth, bed friction and bed slope on solitary wave run-up. A uniform water depth may be associated with a continental shelf region. The non-dimensional run-up was found to be an asymptotic function of non-dimensional wave amplitude at high and low values of initial wave steepness. Both asymptotes scale as (R/h o )∼α(A o /h o ) β where R is run-up (defined as the vertical elevation reached by the wave uprush above still water level), A o is the offshore wave amplitude and h o is the uniform depth offshore of the beach. The empirical coefficients α and β depend on the beach characteristics. The model is then used to simulate the interaction of a full-scale tsunami event with an idealised beach profile representative of a beach in Eastern Kamchatka. Article in Journal/Newspaper Kamchatka ICE Virtual Library (ICE Publishing) Proceedings of the Institution of Civil Engineers - Maritime Engineering 159 3 97 105 |
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Open Polar |
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ICE Virtual Library (ICE Publishing) |
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crtelford |
language |
English |
description |
A validated one-dimensional Boussinesq–non-linear shallow water equations numerical model was used to investigate the interaction of solitary waves with beaches. The numerical model requires two adjustable parameters: the bed friction coefficient and a wave breaking parameter. Excellent agreement was achieved between the numerical predictions of solitary wave transformation and run-up at a plane beach with two sets of high-quality laboratory measurements: one a large number of experiments in a wave flume by Synolakis, the other in the UK Coastal Research Facility. A parameter study investigated the effect of uniform offshore water depth, bed friction and bed slope on solitary wave run-up. A uniform water depth may be associated with a continental shelf region. The non-dimensional run-up was found to be an asymptotic function of non-dimensional wave amplitude at high and low values of initial wave steepness. Both asymptotes scale as (R/h o )∼α(A o /h o ) β where R is run-up (defined as the vertical elevation reached by the wave uprush above still water level), A o is the offshore wave amplitude and h o is the uniform depth offshore of the beach. The empirical coefficients α and β depend on the beach characteristics. The model is then used to simulate the interaction of a full-scale tsunami event with an idealised beach profile representative of a beach in Eastern Kamchatka. |
format |
Article in Journal/Newspaper |
author |
Borthwick, A. G. L. Ford, M. Weston, B. P. Taylor, P. H. Stansby, P. K. |
spellingShingle |
Borthwick, A. G. L. Ford, M. Weston, B. P. Taylor, P. H. Stansby, P. K. Solitary wave transformation, breaking and run-up at a beach |
author_facet |
Borthwick, A. G. L. Ford, M. Weston, B. P. Taylor, P. H. Stansby, P. K. |
author_sort |
Borthwick, A. G. L. |
title |
Solitary wave transformation, breaking and run-up at a beach |
title_short |
Solitary wave transformation, breaking and run-up at a beach |
title_full |
Solitary wave transformation, breaking and run-up at a beach |
title_fullStr |
Solitary wave transformation, breaking and run-up at a beach |
title_full_unstemmed |
Solitary wave transformation, breaking and run-up at a beach |
title_sort |
solitary wave transformation, breaking and run-up at a beach |
publisher |
Thomas Telford Ltd. |
publishDate |
2006 |
url |
http://dx.doi.org/10.1680/maen.2006.159.3.97 https://www.icevirtuallibrary.com/doi/pdf/10.1680/maen.2006.159.3.97 |
genre |
Kamchatka |
genre_facet |
Kamchatka |
op_source |
Proceedings of the Institution of Civil Engineers - Maritime Engineering volume 159, issue 3, page 97-105 ISSN 1741-7597 1751-7737 |
op_doi |
https://doi.org/10.1680/maen.2006.159.3.97 |
container_title |
Proceedings of the Institution of Civil Engineers - Maritime Engineering |
container_volume |
159 |
container_issue |
3 |
container_start_page |
97 |
op_container_end_page |
105 |
_version_ |
1810453980203974656 |