Solitary flexural-gravity waves in three dimensions

Olga Trichtchenko; Emilian I. Părău; Jean Marc Vanden-Broeck; Paul Milewski

doi:10.1098/rsta.2017.0345

Solitary flexural-gravity waves in three dimensions

Olga Trichtchenko, Emilian I. Părău, Jean Marc Vanden-Broeck, Paul Milewski

Research output: Contribution to journal › Article › peer-review

15 Citations (SciVal)

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.

Original language	English
Article number	20170345
Pages (from-to)	1-14
Number of pages	14
Journal	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	376
Issue number	2129
Early online date	20 Aug 2018
DOIs	https://doi.org/10.1098/rsta.2017.0345
Publication status	Published - 28 Sept 2018

Bibliographical note

Keywords

Boundary integral method
Flexural-gravity waves
Solitary waves

ASJC Scopus subject areas

General Mathematics
General Engineering
General Physics and Astronomy

Access to Document

10.1098/rsta.2017.0345Licence: CC BY

Cite this

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AB - 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.

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Solitary flexural-gravity waves in three dimensions

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Nonlinear Hydroelastic Waves with Applications to Ice Sheets

Cite this

Solitary flexural-gravity waves in three dimensions

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Projects

Nonlinear Hydroelastic Waves with Applications to Ice Sheets

Cite this