Numerical simulation of the interaction of gravity waves with elastic ice floes |
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| Authors: | I V Lavrenov A V Novakov |
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| Institution: | (1) Institute of Antarctic and Southern Ocean Studies, University of Tasmania, Private Bag 252-77, Hobart, 7001, TAS, Australia;(2) School of Biological Sciences, Victoria University, Wellington, New Zealand;(3) Institute for Water and Environmental Resource Management, Department of Environmental Science, University of Technology, PO Box 123, Broadway, Sydney, NSW, Australia |
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| Abstract: | The self-consistent motion of a fluid and elastically oscillating plates partially covering the fluid is simulated numerically
in the linear approximation. The problem is reduced to the simultaneous solution of the Laplace equation for the fluid and
the equation of elastic plate oscillations for the ice. The numerical and analytical solutions, the latter obtained from an
integral equation containing the Green’s function, are compared. To solve the problem numerically, the boundary element method
for the Laplace equation and the finite element method for the equation describing the elastic plate are proposed. The coefficients
of transmission and reflection of surface gravity waves from the floating plates are calculated. It is shown that the solution
may be quasi-periodic with characteristics determined by the initial values of the wave and ice-floe parameters. The ice floes
may exert a filtering effect on the surface wave spectrum, essentially reducing its most reflectable components.
Sankt-Peterburg. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, pp. 123–131, May–June,
2000. |
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