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Numerical study of solitary waves under continuous or fragmented ice plates

Presented by: 
Emilian I Parau University of East Anglia
Tuesday 8th August 2017 - 10:00 to 11:00
INI Seminar Room 1
Nonlinear hydroelastic waves travelling at the surface of an ideal fluid covered by a thin ice plate are presented. The continuous ice-plate model is based on the special Cosserat theory of hyperelastic shells satisfying Kirchoff's hypothesis. Two-dimensional solitary waves are computed using boundary integral methods and their evolution in time and stability is analysed using a pseudospectral method based on FFT and in the expansion of the Dirichlet-Neuman operator. Extensions of this problem including internal waves and three-dimensional waves will be considered.
When the ice-plate is fragmented, a new model is used by allowing the coefficient of the flexural rigidity to vary spatially.  The attenuation of solitary waves is studied by using two-dimensional simulations.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons