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...

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Autores principales: Trichtchenko, Olga, Părău, Emilian I., Vanden-Broeck, Jean-Marc, Milewski, Paul
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society Publishing 2018
Materias:
Articles
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6107609/
https://www.ncbi.nlm.nih.gov/pubmed/30126916
http://dx.doi.org/10.1098/rsta.2017.0345
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author Trichtchenko, Olga
Părău, Emilian I.
Vanden-Broeck, Jean-Marc
Milewski, Paul
author_facet Trichtchenko, Olga
Părău, Emilian I.
Vanden-Broeck, Jean-Marc
Milewski, Paul
author_sort Trichtchenko, Olga
collection PubMed
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’.
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spelling pubmed-61076092018-08-24 Solitary flexural–gravity waves in three dimensions Trichtchenko, Olga Părău, Emilian I. Vanden-Broeck, Jean-Marc Milewski, Paul Philos Trans A Math Phys Eng Sci Articles 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’. The Royal Society Publishing 2018-09-28 2018-08-20 /pmc/articles/PMC6107609/ /pubmed/30126916 http://dx.doi.org/10.1098/rsta.2017.0345 Text en © 2018 The Authors. http://creativecommons.org/licenses/by/4.0/ 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.
spellingShingle Articles
Trichtchenko, Olga
Părău, Emilian I.
Vanden-Broeck, Jean-Marc
Milewski, Paul
Solitary flexural–gravity waves in three dimensions
title 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_short Solitary flexural–gravity waves in three dimensions
title_sort solitary flexural–gravity waves in three dimensions
topic Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6107609/
https://www.ncbi.nlm.nih.gov/pubmed/30126916
http://dx.doi.org/10.1098/rsta.2017.0345
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