Interaction of flexural-gravity waves in ice cover with vertical walls
Diffraction of flexural-gravity waves in an ice cover by a bottom mounted structure with vertical walls is studied. The problem is solved by using the so-called vertical modes corresponding to the roots of the dispersion relation for flexural-gravity waves. These modes reduce the original three-dime...
Published in: | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
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crroyalsociety:10.1098/rsta.2017.0347 2024-09-15T18:35:26+00:00 Interaction of flexural-gravity waves in ice cover with vertical walls Korobkin, A. A. Malenica, S. Khabakhpasheva, T. EPSRC UEA Impact fund National Research Foundation of Korea RFBR Simons Foundation 2018 http://dx.doi.org/10.1098/rsta.2017.0347 https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2017.0347 https://royalsocietypublishing.org/doi/full-xml/10.1098/rsta.2017.0347 en eng The Royal Society https://royalsociety.org/journals/ethics-policies/data-sharing-mining/ Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 376, issue 2129, page 20170347 ISSN 1364-503X 1471-2962 journal-article 2018 crroyalsociety https://doi.org/10.1098/rsta.2017.0347 2024-08-05T04:35:21Z Diffraction of flexural-gravity waves in an ice cover by a bottom mounted structure with vertical walls is studied. The problem is solved by using the so-called vertical modes corresponding to the roots of the dispersion relation for flexural-gravity waves. These modes reduce the original three-dimensional problem to a set of two-dimensional diffraction problems with non-homogeneous boundary conditions on the rigid walls. Two unknown functions presenting in the boundary conditions for each mode are determined using the conditions at the contact line between the ice cover and the vertical walls. The clamped conditions at the contact line, where the ice cover is frozen to the wall, are considered in this study. The solution of the problem is obtained for a single vertical circular cylinder frozen in the ice cover. A general approach to the problem for vertical cylinders of any shapes is presented. The diffraction problems with vertical walls extended to infinity are discussed. This article is part of the theme issue ‘Modelling of sea-ice phenomena’. Article in Journal/Newspaper Sea ice The Royal Society Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376 2129 20170347 |
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Open Polar |
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The Royal Society |
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crroyalsociety |
language |
English |
description |
Diffraction of flexural-gravity waves in an ice cover by a bottom mounted structure with vertical walls is studied. The problem is solved by using the so-called vertical modes corresponding to the roots of the dispersion relation for flexural-gravity waves. These modes reduce the original three-dimensional problem to a set of two-dimensional diffraction problems with non-homogeneous boundary conditions on the rigid walls. Two unknown functions presenting in the boundary conditions for each mode are determined using the conditions at the contact line between the ice cover and the vertical walls. The clamped conditions at the contact line, where the ice cover is frozen to the wall, are considered in this study. The solution of the problem is obtained for a single vertical circular cylinder frozen in the ice cover. A general approach to the problem for vertical cylinders of any shapes is presented. The diffraction problems with vertical walls extended to infinity are discussed. This article is part of the theme issue ‘Modelling of sea-ice phenomena’. |
author2 |
EPSRC UEA Impact fund National Research Foundation of Korea RFBR Simons Foundation |
format |
Article in Journal/Newspaper |
author |
Korobkin, A. A. Malenica, S. Khabakhpasheva, T. |
spellingShingle |
Korobkin, A. A. Malenica, S. Khabakhpasheva, T. Interaction of flexural-gravity waves in ice cover with vertical walls |
author_facet |
Korobkin, A. A. Malenica, S. Khabakhpasheva, T. |
author_sort |
Korobkin, A. A. |
title |
Interaction of flexural-gravity waves in ice cover with vertical walls |
title_short |
Interaction of flexural-gravity waves in ice cover with vertical walls |
title_full |
Interaction of flexural-gravity waves in ice cover with vertical walls |
title_fullStr |
Interaction of flexural-gravity waves in ice cover with vertical walls |
title_full_unstemmed |
Interaction of flexural-gravity waves in ice cover with vertical walls |
title_sort |
interaction of flexural-gravity waves in ice cover with vertical walls |
publisher |
The Royal Society |
publishDate |
2018 |
url |
http://dx.doi.org/10.1098/rsta.2017.0347 https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2017.0347 https://royalsocietypublishing.org/doi/full-xml/10.1098/rsta.2017.0347 |
genre |
Sea ice |
genre_facet |
Sea ice |
op_source |
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 376, issue 2129, page 20170347 ISSN 1364-503X 1471-2962 |
op_rights |
https://royalsociety.org/journals/ethics-policies/data-sharing-mining/ |
op_doi |
https://doi.org/10.1098/rsta.2017.0347 |
container_title |
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
container_volume |
376 |
container_issue |
2129 |
container_start_page |
20170347 |
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1810478619232829440 |