Scattering of Water Waves by a Thin Vertical Plate Submerged Below Ice-Cover Surface

Paramita Maiti; Puspendu Rakshit; Sudeshna Banerjea

doi:10.3879/j.issn.1000-0887.2011.05.010

Volume 32 Issue 5

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Paramita Maiti, Puspendu Rakshit, Sudeshna Banerjea. Scattering of Water Waves by a Thin Vertical Plate Submerged Below Ice-Cover Surface[J]. Applied Mathematics and Mechanics, 2011, 32(5): 599-607. doi: 10.3879/j.issn.1000-0887.2011.05.010

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Scattering of Water Waves by a Thin Vertical Plate Submerged Below Ice-Cover Surface

doi: 10.3879/j.issn.1000-0887.2011.05.010

Department of Mathematics, Jadavpur University, Kolkata-700032, India;
Deshapran Birendranath Institution for Boys, 198-B S. P. Mukherjee Road, Kolkata-700026, India

Received Date: 2010-10-28
Rev Recd Date: 2011-02-18
Publish Date: 2011-05-15

Abstract

Abstract

Scattering of water waves by a vertical plate submerged in deep water covered with a thin uniform sheet of ice, modelled as an elastic plate was concerned. The problem was formulated in terms of a hypersingular integral equation by a suitable application of Green's integral theorem, in terms of difference of potential functions across the barrier. This integral equation was solved by collocation method using a finite series involving Chebyshev polynomials. The reflection and transmission coefficients were obtained numerically and presented graphically for various values of the wave number and ice cover parameter.
- scattering problem,
- ice-cover surface,
- Green’s integral theorem,
- hypersingular integral equation,
- reflection and transmission coefficients

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References(14)

References

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