Wave excited motion of a body floating on water confined between two semi-infinite ice sheets

The wave excited motion of a body floating on water confined between two semiinfiniteice sheets is investigated. The ice sheet is treated as an elastic thin plate andwater is treated as an ideal and incompressible fluid. The linearized velocity potentialtheory is adopted in the frequency domain and...

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Bibliographic Details
Published in:Physics of Fluids
Main Authors: Ren, K, Wu, GX, Thomas, GA
Format: Article in Journal/Newspaper
Language:English
Published: A I P Publishing LLC 2016
Subjects:
Online Access:https://doi.org/10.1063/1.4968553
http://ecite.utas.edu.au/126131
Description
Summary:The wave excited motion of a body floating on water confined between two semiinfiniteice sheets is investigated. The ice sheet is treated as an elastic thin plate andwater is treated as an ideal and incompressible fluid. The linearized velocity potentialtheory is adopted in the frequency domain and problems are solved by the method ofmatched eigenfunctions expansion. The fluid domain is divided into sub-regions andin each sub-region the velocity potential is expanded into a series of eigenfunctionssatisfying the governing equation and the boundary conditions on horizontal planesincluding the free surface and ice sheets. Matching is conducted at the interfaces oftwo neighbouring regions to ensure the continuity of the pressure and velocity, andthe unknown coefficients in the expressions are obtained as a result. The behaviourof the added mass and damping coefficients of the floating body with the effect of theice sheets and the excitation force are analysed. They are found to vary oscillatorilywith the wave number, which is different from that for a floating body in the opensea. The motion of the body confined between ice sheets is investigated, in particularits resonant behaviour with extremely large motion found to be possible under certainconditions. Standing waves within the polynya are also observed.