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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http://dx.doi.org/10.1098/rsta.2017.0345 | DOI Listing |
Ice shelves regulate the stability of marine ice sheets. We track fractures on Pine Island Glacier, a quickly accelerating glacier in West Antarctica that contributes more to sea level rise than any other glacier. Using an on-ice seismic network deployed from 2012 to 2014, we catalog icequakes that dominantly consist of flexural gravity waves.
View Article and Find Full Text PDFPhilos Trans A Math Phys Eng Sci
September 2018
Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia.
Diffraction of flexural-gravity waves in an ice cover by a bottom mounted structure with vertical walls is studied. The problem is solved by using the so-called vertical modes corresponding to the roots of the dispersion relation for flexural-gravity waves. These modes reduce the original three-dimensional problem to a set of two-dimensional diffraction problems with non-homogeneous boundary conditions on the rigid walls.
View Article and Find Full Text PDFPhilos Trans A Math Phys Eng Sci
September 2018
Department of Mathematical Sciences, University of Bath, Claverton Down, Bath, UK.
Proc Math Phys Eng Sci
January 2018
School of Mathematical and Physical Sciences, University of Newcastle, New South Wales 2308, Australia.
The propagation of flexural gravity waves, routinely used to model wave interaction with sea ice, is studied, including the effect of compression and current. A number of significant and surprising properties are shown to exist. The occurrence of blocking above a critical value of compression is illustrated.
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