On the solution of the problem of scattering of surface water waves by a sharp discontinuity in the surface boundary conditions

Chakrabarti, A (2000) On the solution of the problem of scattering of surface water waves by a sharp discontinuity in the surface boundary conditions. In: The ANZIAM Journal, 42 (2). pp. 277-286.

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Abstract

Closed-form analytical expressions are derived for the reflection and transmission coefficients for the problem of scattering of surface water waves by a sharp discontinuity in the surface-boundary-conditions, for the case of deep water. The method involves the use of the Havelock-type expansion of the velocity potential along with an analysis to solve a Carleman-type singular integral equation over a semi-infinite range. This method of solution is an alternative to the Wiener-Hopf technique used previously.

Item Type:	Journal Article
Publication:	The ANZIAM Journal
Publisher:	Cambridge University Press
Additional Information:	Copyright of this article belongs to Cambridge University Press.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	18 Aug 2011 07:45
Last Modified:	18 Aug 2011 07:45
URI:	http://eprints.iisc.ac.in/id/eprint/39895

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