Interaction of Water Gravity Waves With Elastic Ice Floes

The self-consistence motion of a fluid and elastically oscillating plates partially covering fluid is simulated numerically. The problem is reduced to simulation solution of the Laplace equation for the fluid and equation of elastic plate oscillations for ice motion. The numerical and analytical solutions, obtained using an integral equation containing the Green function, are compared. In order to solve the problem numerically the boundary elements method for the Laplace equation and the finite element method for the equation describing the elastic plate motion are proposed. The coefficients of surface gravity wave transmission and reflection from the floating plate are estimated. It is shown that the solution can be presented as quasi-periodic one with characteristics determined by the initial value of the wave and ice foe parameters. The ice floe exert a filtering effect on the surface wave spectrum, essentially reducing its most deflectable components.