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 of London. Series A: Mathematical, physical, and engineering sciences physical, and engineering sciences, 2018-09, Vol.376 (2129), p.20170345
Main Authors: Trichtchenko, Olga, P r u, Emilian I., Vanden-Broeck, Jean-Marc, Milewski, Paul
Format: Article
Language:English
Subjects:
Boundary Integral Method
Flexural-Gravity Waves
Solitary Waves
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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'.
ISSN:1364-503X
1471-2962
DOI:10.1098/rsta.2017.0345