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Interaction of wave with a body floating on a wide polynya

Presented by: 
Guo Xiong Wu University College London
Tuesday 14th November 2017 - 15:00 to 16:30
INI Seminar Room 2
Guo Xiong Wu (University College London) Zhifu Li and Chunyan Ji (Jiangsu University of Science and Technology) A method based on wide spacing approximation is proposed for the interaction of water wave with a body floating on a polynya. The ice sheet is modelled as an elastic plate and fluid flow is described by the velocity potential theory. The solution procedure is constructed based on the assumption that when the distance between two disturbances to the free surface is sufficiently large, the interactions between them involve only the travelling waves caused by the disturbances and the effect of the evanescent waves is ignored. The solution for the problem can then be obtained from those for a floating body without ice sheet and for ice sheet/free surface without floating body. Both latter solutions have already been found previously and therefore there will be no additional effort in solution once the wide spacing approximation formulation is derived. Some explicit equations are derived to show zero reflection by the polynya, and peaks and troughs of the force and excited body motion. It is revealed that some of the peaks of the body motion are due to resonance while others are to the wave characters in the polynya. Presentation will cover other aspects of wave/ice/body interaction, including a body submerged below an ice sheet with a crack and hybrid numerical method.

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