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Water wave diffraction by a surface strip

Gayen, Rupanwita and Mandal, BN and Chakrabarti, A (2007) Water wave diffraction by a surface strip. In: Journal of Flued Mechanics, 571 . pp. 419-438.

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Abstract

The two-dimensional problem of wave diffraction by a strip of arbitrary width is investigated here in the context of linearized theory of water waves by reducing it to a pair of Carleman-type singular integral equations. These integral equations have been solved earlier by an iterative process which is valid only for a suffciently wide strip. A new method is described here by which solutions of these integral equations are determined by solving a set of four Fredholm integral equations of the second kind, and the process is valid for a strip of arbitrary width. Numerical solutions of these Fredholm integral equations are utilized to obtain fairly accurate numerical estimates for the reflection and transmission coeffcients. Previous numerical results for a wide strip are recovered from the present analysis. Additional results for the reflection coeffcient are presented graphically for moderate values of the strip width which exhibit a less oscillatory nature of the curve than the case of a wide strip.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Cambridge University Press.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 31 Jul 2007
Last Modified: 24 Jan 2012 06:55
URI: http://eprints.iisc.ernet.in/id/eprint/11426

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