Drift of elastic floating ice sheets by waves and current:multiple sheets
A nonlinear theoretical model for deformations, oscillations and drift motions of multiple elastic ice sheets in shallow waters due to combined nonlinear waves and uniform current is presented. The model is based on the Green-Naghdi theory for the fluid motion and the thin plate theory for the defor...
Published in: | Physics of Fluids |
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Format: | Article in Journal/Newspaper |
Language: | English |
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2022
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Online Access: | https://discovery.dundee.ac.uk/en/publications/489c3402-7096-4080-9de1-3a22efb6c816 https://doi.org/10.1063/5.0091538 https://discovery.dundee.ac.uk/ws/files/74496122/KHE_PoF_2022_Accepted.pdf http://www.scopus.com/inward/record.url?scp=85131565410&partnerID=8YFLogxK |
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ftunivdundeepure:oai:discovery.dundee.ac.uk:publications/489c3402-7096-4080-9de1-3a22efb6c816 2024-06-23T07:53:49+00:00 Drift of elastic floating ice sheets by waves and current:multiple sheets Kostikov, Vasily Hayatdavoodi, Masoud Ertekin, R. Cengiz 2022-05 application/pdf https://discovery.dundee.ac.uk/en/publications/489c3402-7096-4080-9de1-3a22efb6c816 https://doi.org/10.1063/5.0091538 https://discovery.dundee.ac.uk/ws/files/74496122/KHE_PoF_2022_Accepted.pdf http://www.scopus.com/inward/record.url?scp=85131565410&partnerID=8YFLogxK eng eng https://discovery.dundee.ac.uk/en/publications/489c3402-7096-4080-9de1-3a22efb6c816 info:eu-repo/semantics/openAccess Kostikov , V , Hayatdavoodi , M & Ertekin , R C 2022 , ' Drift of elastic floating ice sheets by waves and current : multiple sheets ' , Physics of Fluids , vol. 34 , no. 5 , 057113 . https://doi.org/10.1063/5.0091538 article 2022 ftunivdundeepure https://doi.org/10.1063/5.0091538 2024-06-11T15:03:22Z A nonlinear theoretical model for deformations, oscillations and drift motions of multiple elastic ice sheets in shallow waters due to combined nonlinear waves and uniform current is presented. The model is based on the Green-Naghdi theory for the fluid motion and the thin plate theory for the deformation of the ice sheets. In principle, there are N number of the floating sheets with arbitrary lengths, drafts, and rigidities, which may be located at arbitrary distances from each other. Nonlinear waves of solitary and cnoidal types are considered, and there are no restrictions on the wave properties (wave height or wave period). The sheets, located at different positions, are shown to drift with different speeds, but surge in most of the wave conditions with equal amplitudes. It is shown systematically that wavelength and spacing between the sheets are the critical parameters determining the drift response of a set of freely floating ice sheets. When wavelength is equal to the distance between the centers of the sheets, they bend and drift in resonance, causing the largest wave reflection. The ambient current is found to affect the drift motion of the sheets nonlinearly. This work complements the Part I paper of the same title, where drift motion of a single ice sheet was investigated. Article in Journal/Newspaper Ice Sheet Discovery - University of Dundee Online Publications Physics of Fluids 34 5 |
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Open Polar |
collection |
Discovery - University of Dundee Online Publications |
op_collection_id |
ftunivdundeepure |
language |
English |
description |
A nonlinear theoretical model for deformations, oscillations and drift motions of multiple elastic ice sheets in shallow waters due to combined nonlinear waves and uniform current is presented. The model is based on the Green-Naghdi theory for the fluid motion and the thin plate theory for the deformation of the ice sheets. In principle, there are N number of the floating sheets with arbitrary lengths, drafts, and rigidities, which may be located at arbitrary distances from each other. Nonlinear waves of solitary and cnoidal types are considered, and there are no restrictions on the wave properties (wave height or wave period). The sheets, located at different positions, are shown to drift with different speeds, but surge in most of the wave conditions with equal amplitudes. It is shown systematically that wavelength and spacing between the sheets are the critical parameters determining the drift response of a set of freely floating ice sheets. When wavelength is equal to the distance between the centers of the sheets, they bend and drift in resonance, causing the largest wave reflection. The ambient current is found to affect the drift motion of the sheets nonlinearly. This work complements the Part I paper of the same title, where drift motion of a single ice sheet was investigated. |
format |
Article in Journal/Newspaper |
author |
Kostikov, Vasily Hayatdavoodi, Masoud Ertekin, R. Cengiz |
spellingShingle |
Kostikov, Vasily Hayatdavoodi, Masoud Ertekin, R. Cengiz Drift of elastic floating ice sheets by waves and current:multiple sheets |
author_facet |
Kostikov, Vasily Hayatdavoodi, Masoud Ertekin, R. Cengiz |
author_sort |
Kostikov, Vasily |
title |
Drift of elastic floating ice sheets by waves and current:multiple sheets |
title_short |
Drift of elastic floating ice sheets by waves and current:multiple sheets |
title_full |
Drift of elastic floating ice sheets by waves and current:multiple sheets |
title_fullStr |
Drift of elastic floating ice sheets by waves and current:multiple sheets |
title_full_unstemmed |
Drift of elastic floating ice sheets by waves and current:multiple sheets |
title_sort |
drift of elastic floating ice sheets by waves and current:multiple sheets |
publishDate |
2022 |
url |
https://discovery.dundee.ac.uk/en/publications/489c3402-7096-4080-9de1-3a22efb6c816 https://doi.org/10.1063/5.0091538 https://discovery.dundee.ac.uk/ws/files/74496122/KHE_PoF_2022_Accepted.pdf http://www.scopus.com/inward/record.url?scp=85131565410&partnerID=8YFLogxK |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
Kostikov , V , Hayatdavoodi , M & Ertekin , R C 2022 , ' Drift of elastic floating ice sheets by waves and current : multiple sheets ' , Physics of Fluids , vol. 34 , no. 5 , 057113 . https://doi.org/10.1063/5.0091538 |
op_relation |
https://discovery.dundee.ac.uk/en/publications/489c3402-7096-4080-9de1-3a22efb6c816 |
op_rights |
info:eu-repo/semantics/openAccess |
op_doi |
https://doi.org/10.1063/5.0091538 |
container_title |
Physics of Fluids |
container_volume |
34 |
container_issue |
5 |
_version_ |
1802645641322561536 |