Solitary flexural-gravity waves in three dimensions.

Philos Trans A Math Phys Eng Sci

Department of Mathematical Sciences, University of Bath, Claverton Down, Bath, UK.

Published: September 2018

AI Article Synopsis

  • The study examines three-dimensional nonlinear flexural-gravity waves at the interface between a fluid and an ice sheet.
  • The ice sheet is modeled using Cosserat theory, which treats it as a hyperelastic shell under specific theoretical conditions.
  • A numerical method involving boundary integral equations is used to analyze both solitary and forced waves according to Euler's equations in the context of sea-ice phenomena.

Article 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 , 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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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC6107609PMC
http://dx.doi.org/10.1098/rsta.2017.0345DOI Listing

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Solitary flexural-gravity waves in three dimensions.

Philos Trans A Math Phys Eng Sci

September 2018

Department of Mathematical Sciences, University of Bath, Claverton Down, Bath, UK.

Article Synopsis
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  • The ice sheet is modeled using Cosserat theory, which treats it as a hyperelastic shell under specific theoretical conditions.
  • A numerical method involving boundary integral equations is used to analyze both solitary and forced waves according to Euler's equations in the context of sea-ice phenomena.
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