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PDE/NA seminar: Nonlinear hydroelastic waves under an ice cover, Emilian Parau (University of East Anglia)


Tid: 2019-05-16 14:00 till: 15:00
Plats: MH:228
Kontakt: erik [dot] wahlen [at] math [dot] lu [dot] se
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We review computational and weakly nonlinear results for hydroelastic waves travelling at the surface of a fluid covered by a continuous or fragmented ice sheet. The continuous ice-plate model is based on the special Cosserat theory of hyperelastic shells satisfying Kirchhoff's hypothesis. The two-dimensional and three-dimensional nonlinear waves are computed using boundary integral methods and their evolution in time is analysed using a pseudospectral method based on FFT. Internal waves travelling below the ice cover are also discussed. When the ice-plate is fragmented, a new model is proposed by allowing the coefficient of the flexural rigidity to vary spatially.  The attenuation of solitary waves in this case is studied by using time-dependent simulations.