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Oblique wave scattering by submerged thin wall with gap in finite-depth water |
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| Authors: | Sudeshna Banerjea Mridula Kanoria DP Dolai BN Mandal |
| Institution: | a Department of Mathematics, Jadavpur University, Calcutta 700 032, India b Physics and Applied Mathematics Unit, Indian Statistical Institute 203, B.T. Road, Calcutta 700 035, India |
| Abstract: | The problem of oblique wave scattering by a submerged thin vertical wall with a gap in finite-depth water and its modification when another identical wall is introduced, are investigated in this paper. The techniques of both one-term and multiterm Galerkin approximations have been utilized in the mathematical analysis. The multi-term approximations in terms of appropriate Chebyshev polynomials provide extremely accurate numerical estimates for the reflection coefficient. The reflection coefficient is depicted graphically for a number of geometries. It is found that by the introduction of another identical wall, there occurs zero reflection for certain wave numbers. This may have some bearings on the modelling of a breakwater. |
| Keywords: | linearised theory oblique wave scattering galerkin approximations Chebyshev polynomials reflection coefficient finite-depth water |
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