Water wave scattering by a floating elastic plate over a plane incline
The effect of a shoreline on the interaction between surface water waves and a floating elastic plate is investigated on the basis of linear theory by considering the fluid motion over a plane inclined bed. The use of a radiation condition at the shoreline that removes reflected waves there both sim...
Published in: | The Quarterly Journal of Mechanics and Applied Mathematics |
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Oxford University Press
2012
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Online Access: | http://qjmam.oxfordjournals.org/cgi/content/short/hbs010v1 https://doi.org/10.1093/qjmam/hbs010 |
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fthighwire:oai:open-archive.highwire.org:qjmamj:hbs010v1 2023-05-15T18:18:14+02:00 Water wave scattering by a floating elastic plate over a plane incline Ehrenmark, Ulf T. Porter, David 2012-07-31 05:07:11.0 text/html http://qjmam.oxfordjournals.org/cgi/content/short/hbs010v1 https://doi.org/10.1093/qjmam/hbs010 en eng Oxford University Press http://qjmam.oxfordjournals.org/cgi/content/short/hbs010v1 http://dx.doi.org/10.1093/qjmam/hbs010 Copyright (C) 2012, Oxford University Press Article TEXT 2012 fthighwire https://doi.org/10.1093/qjmam/hbs010 2015-02-28T18:24:55Z The effect of a shoreline on the interaction between surface water waves and a floating elastic plate is investigated on the basis of linear theory by considering the fluid motion over a plane inclined bed. The use of a radiation condition at the shoreline that removes reflected waves there both simulates energy dissipation in the shoaling region and allows comparisons to be made with the case of constant water depth. The model applies equally to floating sea ice and ‘very large floating structures’. A Green's function approach reduces the underlying boundary value problem to a pair of coupled integral equations to which Galerkin's method is applied. A sample of numerical results is given from which inferences may be drawn about the influence of the sloping bed. Discrete eigenvalues in sheet length are observed at which the formal scattering problem has no solution. Text Sea ice HighWire Press (Stanford University) The Quarterly Journal of Mechanics and Applied Mathematics 65 3 409 434 |
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HighWire Press (Stanford University) |
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English |
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Article Ehrenmark, Ulf T. Porter, David Water wave scattering by a floating elastic plate over a plane incline |
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Article |
description |
The effect of a shoreline on the interaction between surface water waves and a floating elastic plate is investigated on the basis of linear theory by considering the fluid motion over a plane inclined bed. The use of a radiation condition at the shoreline that removes reflected waves there both simulates energy dissipation in the shoaling region and allows comparisons to be made with the case of constant water depth. The model applies equally to floating sea ice and ‘very large floating structures’. A Green's function approach reduces the underlying boundary value problem to a pair of coupled integral equations to which Galerkin's method is applied. A sample of numerical results is given from which inferences may be drawn about the influence of the sloping bed. Discrete eigenvalues in sheet length are observed at which the formal scattering problem has no solution. |
format |
Text |
author |
Ehrenmark, Ulf T. Porter, David |
author_facet |
Ehrenmark, Ulf T. Porter, David |
author_sort |
Ehrenmark, Ulf T. |
title |
Water wave scattering by a floating elastic plate over a plane incline |
title_short |
Water wave scattering by a floating elastic plate over a plane incline |
title_full |
Water wave scattering by a floating elastic plate over a plane incline |
title_fullStr |
Water wave scattering by a floating elastic plate over a plane incline |
title_full_unstemmed |
Water wave scattering by a floating elastic plate over a plane incline |
title_sort |
water wave scattering by a floating elastic plate over a plane incline |
publisher |
Oxford University Press |
publishDate |
2012 |
url |
http://qjmam.oxfordjournals.org/cgi/content/short/hbs010v1 https://doi.org/10.1093/qjmam/hbs010 |
genre |
Sea ice |
genre_facet |
Sea ice |
op_relation |
http://qjmam.oxfordjournals.org/cgi/content/short/hbs010v1 http://dx.doi.org/10.1093/qjmam/hbs010 |
op_rights |
Copyright (C) 2012, Oxford University Press |
op_doi |
https://doi.org/10.1093/qjmam/hbs010 |
container_title |
The Quarterly Journal of Mechanics and Applied Mathematics |
container_volume |
65 |
container_issue |
3 |
container_start_page |
409 |
op_container_end_page |
434 |
_version_ |
1766194739051233280 |