Chakrabarti, A (1996) Solution of a class of surface water wave scattering problems involving non-reflecting vertical barriers. In: Second International Conference on Hydrodynamics, Dec 16-19, 1996, Hong Kong.
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A large class of scattering problems of surface water waves by vertical barriers lead to mixed boundary value problems for Laplace equation. Specific attentions are paid, in the present article, to highlight an analytical method to handle this class of problems of surface water wave scattering, when the barriers in question are non-reflecting in nature. A new set of boundary conditions is proposed for such non-reflecting barriers and tile resulting boundary value problems are handled in the linearized theory of water waves. Three basic poblems of scattering by vertical barriers are solved. The present new theory of non-reflecting vertical barriers predict new transmission coefficients and tile solutions of tile mathematical problems turn out to be extremely simple and straight forward as compared to the solution for other types of barriers handled previously.
Item Type: | Conference Paper |
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Publisher: | A A Balkema |
Additional Information: | Copyright of this article belongs to A A Balkema. |
Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 15 Mar 2012 09:28 |
Last Modified: | 15 Mar 2012 09:28 |
URI: | http://eprints.iisc.ac.in/id/eprint/43954 |
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