Drift of elastic floating ice sheets by waves and current, part I:single sheet
The drift motion of a freely floating deformable ice sheet in shallow water subjected to incident nonlinear waves and uniform current is studied by use of the Green-Naghdi theory for the fluid motion and the thin plate theory for an elastic sheet. The nonlinear wave- and current-induced forces are o...
Published in: | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
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2021
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Online Access: | https://discovery.dundee.ac.uk/en/publications/f31785c1-9af9-43e8-b241-5437beddd44c https://doi.org/10.1098/rspa.2021.0449 https://discovery.dundee.ac.uk/ws/files/66264884/KHE_RSPA_PartI_2021_Accepted.pdf |
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ftunivdundeepure:oai:discovery.dundee.ac.uk:publications/f31785c1-9af9-43e8-b241-5437beddd44c 2024-06-23T07:53:49+00:00 Drift of elastic floating ice sheets by waves and current, part I:single sheet Kostikov, V. Hayatdavoodi, M. Ertekin, R. C. 2021-10-27 application/pdf https://discovery.dundee.ac.uk/en/publications/f31785c1-9af9-43e8-b241-5437beddd44c https://doi.org/10.1098/rspa.2021.0449 https://discovery.dundee.ac.uk/ws/files/66264884/KHE_RSPA_PartI_2021_Accepted.pdf eng eng https://discovery.dundee.ac.uk/en/publications/f31785c1-9af9-43e8-b241-5437beddd44c info:eu-repo/semantics/openAccess Kostikov , V , Hayatdavoodi , M & Ertekin , R C 2021 , ' Drift of elastic floating ice sheets by waves and current, part I : single sheet ' , Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , vol. 477 , no. 2254 . https://doi.org/10.1098/rspa.2021.0449 wave-induced drift wave-current loads hydroelasticity nonlinear wave-structure interaction deformable ice sheets Green-Naghdi equations article 2021 ftunivdundeepure https://doi.org/10.1098/rspa.2021.0449 2024-06-11T15:00:32Z The drift motion of a freely floating deformable ice sheet in shallow water subjected to incident nonlinear waves and uniform current is studied by use of the Green-Naghdi theory for the fluid motion and the thin plate theory for an elastic sheet. The nonlinear wave- and current-induced forces are obtained by integrating the hydrodynamic pressure around the body. The oscillations and translational motion of the sheet are then determined by substituting the flow-induced forces into the equation of motion of the body. The resulting governing equations, boundary and matching conditions are solved in two-dimensions with a finite difference technique. The surge and drift motions of the sheet are analyzed in a broad range of body parameters and various wave-current conditions. It is demonstrated that wavelength to sheet length ratio plays an important role in the drift response of the floating sheet, while the sheet mass and rigidity have comparatively less impact. It is also observed that while the presence of the ambient current changes the drift speed significantly (almost linearly), it has little to no effect on it’s oscillations. However, under the same ambient current, the drift speed changes remarkably by the wave period (or wavelength). Article in Journal/Newspaper Ice Sheet Discovery - University of Dundee Online Publications Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477 2254 |
institution |
Open Polar |
collection |
Discovery - University of Dundee Online Publications |
op_collection_id |
ftunivdundeepure |
language |
English |
topic |
wave-induced drift wave-current loads hydroelasticity nonlinear wave-structure interaction deformable ice sheets Green-Naghdi equations |
spellingShingle |
wave-induced drift wave-current loads hydroelasticity nonlinear wave-structure interaction deformable ice sheets Green-Naghdi equations Kostikov, V. Hayatdavoodi, M. Ertekin, R. C. Drift of elastic floating ice sheets by waves and current, part I:single sheet |
topic_facet |
wave-induced drift wave-current loads hydroelasticity nonlinear wave-structure interaction deformable ice sheets Green-Naghdi equations |
description |
The drift motion of a freely floating deformable ice sheet in shallow water subjected to incident nonlinear waves and uniform current is studied by use of the Green-Naghdi theory for the fluid motion and the thin plate theory for an elastic sheet. The nonlinear wave- and current-induced forces are obtained by integrating the hydrodynamic pressure around the body. The oscillations and translational motion of the sheet are then determined by substituting the flow-induced forces into the equation of motion of the body. The resulting governing equations, boundary and matching conditions are solved in two-dimensions with a finite difference technique. The surge and drift motions of the sheet are analyzed in a broad range of body parameters and various wave-current conditions. It is demonstrated that wavelength to sheet length ratio plays an important role in the drift response of the floating sheet, while the sheet mass and rigidity have comparatively less impact. It is also observed that while the presence of the ambient current changes the drift speed significantly (almost linearly), it has little to no effect on it’s oscillations. However, under the same ambient current, the drift speed changes remarkably by the wave period (or wavelength). |
format |
Article in Journal/Newspaper |
author |
Kostikov, V. Hayatdavoodi, M. Ertekin, R. C. |
author_facet |
Kostikov, V. Hayatdavoodi, M. Ertekin, R. C. |
author_sort |
Kostikov, V. |
title |
Drift of elastic floating ice sheets by waves and current, part I:single sheet |
title_short |
Drift of elastic floating ice sheets by waves and current, part I:single sheet |
title_full |
Drift of elastic floating ice sheets by waves and current, part I:single sheet |
title_fullStr |
Drift of elastic floating ice sheets by waves and current, part I:single sheet |
title_full_unstemmed |
Drift of elastic floating ice sheets by waves and current, part I:single sheet |
title_sort |
drift of elastic floating ice sheets by waves and current, part i:single sheet |
publishDate |
2021 |
url |
https://discovery.dundee.ac.uk/en/publications/f31785c1-9af9-43e8-b241-5437beddd44c https://doi.org/10.1098/rspa.2021.0449 https://discovery.dundee.ac.uk/ws/files/66264884/KHE_RSPA_PartI_2021_Accepted.pdf |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
Kostikov , V , Hayatdavoodi , M & Ertekin , R C 2021 , ' Drift of elastic floating ice sheets by waves and current, part I : single sheet ' , Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , vol. 477 , no. 2254 . https://doi.org/10.1098/rspa.2021.0449 |
op_relation |
https://discovery.dundee.ac.uk/en/publications/f31785c1-9af9-43e8-b241-5437beddd44c |
op_rights |
info:eu-repo/semantics/openAccess |
op_doi |
https://doi.org/10.1098/rspa.2021.0449 |
container_title |
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
container_volume |
477 |
container_issue |
2254 |
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1802645641925492736 |