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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ftuniveastangl:oai:ueaeprints.uea.ac.uk:67424 2023-05-15T16:40:10+02:00 Solitary flexural–gravity waves in three dimensions Trichtchenko, Olga Părău, Emilian I. Vanden-Broeck, Jean-Marc Milewski, Paul 2018-09-28 application/pdf https://ueaeprints.uea.ac.uk/id/eprint/67424/ https://ueaeprints.uea.ac.uk/id/eprint/67424/4/Published_manuscript.pdf https://doi.org/10.1098/rsta.2017.0345 en eng https://ueaeprints.uea.ac.uk/id/eprint/67424/4/Published_manuscript.pdf Trichtchenko, Olga, Părău, Emilian I., Vanden-Broeck, Jean-Marc and Milewski, Paul (2018) Solitary flexural–gravity waves in three dimensions. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 376. ISSN 1364-503X doi:10.1098/rsta.2017.0345 cc_by CC-BY Article PeerReviewed 2018 ftuniveastangl https://doi.org/10.1098/rsta.2017.0345 2023-01-30T21:48:31Z 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 University of East Anglia: UEA Digital Repository Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376 2129 20170345 |
institution |
Open Polar |
collection |
University of East Anglia: UEA Digital Repository |
op_collection_id |
ftuniveastangl |
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’. |
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 |
publishDate |
2018 |
url |
https://ueaeprints.uea.ac.uk/id/eprint/67424/ https://ueaeprints.uea.ac.uk/id/eprint/67424/4/Published_manuscript.pdf https://doi.org/10.1098/rsta.2017.0345 |
genre |
Ice Sheet Sea ice |
genre_facet |
Ice Sheet Sea ice |
op_relation |
https://ueaeprints.uea.ac.uk/id/eprint/67424/4/Published_manuscript.pdf Trichtchenko, Olga, Părău, Emilian I., Vanden-Broeck, Jean-Marc and Milewski, Paul (2018) Solitary flexural–gravity waves in three dimensions. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 376. ISSN 1364-503X doi:10.1098/rsta.2017.0345 |
op_rights |
cc_by |
op_rightsnorm |
CC-BY |
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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1766030546565070848 |