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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Bibliographic Details
Published in:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Main Authors: Trichtchenko, Olga, Părău, Emilian I., Vanden-Broeck, Jean-Marc, Milewski, Paul
Other Authors: E.I.P., P.M., J.-M.V.-B and O.T, EPSRC
Format: Article in Journal/Newspaper
Language:English
Published: The Royal Society 2018
Subjects:
Ice Sheet
Sea ice
Online Access: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
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Summary: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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