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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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|
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