Solitary flexural-gravity waves in three dimensions

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

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 languageEnglish
Article number20170345
Pages (from-to)1-14
Number of pages14
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume376
Issue number2129
Early online date20 Aug 2018
DOIs
Publication statusPublished - 28 Sep 2018

Fingerprint

Gravity Waves
Gravity waves
Elastic waves
gravity waves
Solitary Waves
Ice
Three-dimension
ice
Fluid
potential flow
Fluids
Boundary integral equations
fluids
Euler equations
Nonlinear Waves
Boundary Integral Equations
Solitons
Euler Equations
integral equations
Numerical methods

Keywords

  • Boundary integral method
  • Flexural-gravity waves
  • Solitary waves

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

Cite this

Solitary flexural-gravity waves in three dimensions. / Trichtchenko, Olga; Părău, Emilian I.; Vanden-Broeck, Jean Marc; Milewski, Paul.

In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 376, No. 2129, 20170345, 28.09.2018, p. 1-14.

Research output: Contribution to journalArticle

Trichtchenko, Olga ; Părău, Emilian I. ; Vanden-Broeck, Jean Marc ; Milewski, Paul. / Solitary flexural-gravity waves in three dimensions. In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2018 ; Vol. 376, No. 2129. pp. 1-14.
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