Solitary flexural–gravity waves in three dimensions
The focus of this work is on three-dimensional nonlinear flexural–gravity waves, propagating at the interface between a fluid and an ice sheet. The ice sheet is modelled using the special Cosserat theory of hyperelastic shells satisfying Kirchhoff's hypothesis, presented in (Plotnikov & Tol...
Published in: | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
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crroyalsociety:10.1098/rsta.2017.0345 2024-06-02T08:08:12+00:00 Solitary flexural–gravity waves in three dimensions Trichtchenko, Olga Părău, Emilian I. Vanden-Broeck, Jean-Marc Milewski, Paul E.I.P. P.M. J.-M.V.-B and O.T EPSRC 2018 http://dx.doi.org/10.1098/rsta.2017.0345 https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2017.0345 https://royalsocietypublishing.org/doi/full-xml/10.1098/rsta.2017.0345 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 20170345 ISSN 1364-503X 1471-2962 journal-article 2018 crroyalsociety https://doi.org/10.1098/rsta.2017.0345 2024-05-07T14:16:45Z The focus of this work is on three-dimensional nonlinear flexural–gravity waves, propagating at the interface between a fluid and an ice sheet. The ice sheet is modelled using the special Cosserat theory of hyperelastic shells satisfying Kirchhoff's hypothesis, presented in (Plotnikov & Toland. 2011 Phil. Trans. R. Soc. A 369 , 2942–2956 ( doi:10.1098/rsta.2011.0104 )). The fluid is assumed inviscid and incompressible, and the flow irrotational. A numerical method based on boundary integral equation techniques is used to compute solitary waves and forced waves to Euler's equations. This article is part of the theme issue ‘Modelling of sea-ice phenomena’. Article in Journal/Newspaper Ice Sheet Sea ice The Royal Society Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376 2129 20170345 |
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The Royal Society |
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crroyalsociety |
language |
English |
description |
The focus of this work is on three-dimensional nonlinear flexural–gravity waves, propagating at the interface between a fluid and an ice sheet. The ice sheet is modelled using the special Cosserat theory of hyperelastic shells satisfying Kirchhoff's hypothesis, presented in (Plotnikov & Toland. 2011 Phil. Trans. R. Soc. A 369 , 2942–2956 ( doi:10.1098/rsta.2011.0104 )). The fluid is assumed inviscid and incompressible, and the flow irrotational. A numerical method based on boundary integral equation techniques is used to compute solitary waves and forced waves to Euler's equations. This article is part of the theme issue ‘Modelling of sea-ice phenomena’. |
author2 |
E.I.P. P.M. J.-M.V.-B and O.T EPSRC |
format |
Article in Journal/Newspaper |
author |
Trichtchenko, Olga Părău, Emilian I. Vanden-Broeck, Jean-Marc Milewski, Paul |
spellingShingle |
Trichtchenko, Olga Părău, Emilian I. Vanden-Broeck, Jean-Marc Milewski, Paul Solitary flexural–gravity waves in three dimensions |
author_facet |
Trichtchenko, Olga Părău, Emilian I. Vanden-Broeck, Jean-Marc Milewski, Paul |
author_sort |
Trichtchenko, Olga |
title |
Solitary flexural–gravity waves in three dimensions |
title_short |
Solitary flexural–gravity waves in three dimensions |
title_full |
Solitary flexural–gravity waves in three dimensions |
title_fullStr |
Solitary flexural–gravity waves in three dimensions |
title_full_unstemmed |
Solitary flexural–gravity waves in three dimensions |
title_sort |
solitary flexural–gravity waves in three dimensions |
publisher |
The Royal Society |
publishDate |
2018 |
url |
http://dx.doi.org/10.1098/rsta.2017.0345 https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2017.0345 https://royalsocietypublishing.org/doi/full-xml/10.1098/rsta.2017.0345 |
genre |
Ice Sheet Sea ice |
genre_facet |
Ice Sheet Sea ice |
op_source |
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 376, issue 2129, page 20170345 ISSN 1364-503X 1471-2962 |
op_rights |
https://royalsociety.org/journals/ethics-policies/data-sharing-mining/ |
op_doi |
https://doi.org/10.1098/rsta.2017.0345 |
container_title |
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
container_volume |
376 |
container_issue |
2129 |
container_start_page |
20170345 |
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1800753405976641536 |