Vanden-Broeck, J;
Trichtchenko, O;
Parau, E;
Milewski, P;
(2018)
Solitary flexural-gravity waves in three dimensions.
Philosophical Transactions A: Mathematical, Physical and Engineering Sciences
, 376
(2129)
, Article 20170345. 10.1098/rsta.2017.0345.
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Abstract
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
| Type: | Article |
|---|---|
| Title: | Solitary flexural-gravity waves in three dimensions |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1098/rsta.2017.0345 |
| Publisher version: | https://doi.org/10.1098/rsta.2017.0345 |
| Language: | English |
| Additional information: | Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited. |
| Keywords: | solitary waves, flexural–gravity waves, boundary integral method |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10058148 |
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