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Scattering of water waves by thin vertical plate submerged below ice-cover surface

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Abstract

The present paper is concerned with scattering of water waves from a vertical plate, modeled as an elastic plate, submerged in deep water covered with a thin uniform sheet of ice. The problem is 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 is solved by a collocation method using a finite series involving Chebyshev polynomials. Reflection and transmission coefficients are obtained numerically and presented graphically for various values of the wave number and ice-cover parameter.

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Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, 700032, India

    P. Maiti & S. Banerjea

  2. Deshapran Birendranath Institution For Boys, 198-B S.P. Mukherjee Road, Kolkata, 700026, India

    P. Rakshit

Authors
  1. P. Maiti
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  2. P. Rakshit
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  3. S. Banerjea
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Corresponding author

Correspondence to S. Banerjea.

Additional information

Project supported by the Department of Science and Technology of New Delhi (No. SR/SY/MS:521/08)

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Maiti, P., Rakshit, P. & Banerjea, S. Scattering of water waves by thin vertical plate submerged below ice-cover surface. Appl. Math. Mech.-Engl. Ed. 32, 635–644 (2011). https://doi.org/10.1007/s10483-011-1445-7

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  • DOI: https://doi.org/10.1007/s10483-011-1445-7

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