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Scattering of long waves by cylindrical obstacles and gratings using matched asymptotic expansions

Published online by Cambridge University Press:  21 April 2006

P. A. Martin  and
Robert A. Dalrymple
P. A. Martin
Affiliation:
Department of Mathematics, University of Manchester, Manchester, M13 9PL, UK
Robert A. Dalrymple
Affiliation:
Ocean Engineering Group, Department of Civil Engineering, University of Delaware, Newark, DE 19716, USA
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Abstract

The method of matched asymptotic expansions is applied to several long-wave problems including the scattering of acoustic waves by a grating of cylinders and the scattering of water waves incident on horizontal cylinders. It is shown that a naïve application of the method can lead to incorrect results. A modified expansion procedure is developed and applied to a number of problems.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 188 , March 1988 , pp. 465 - 490
Copyright
© 1988 Cambridge University Press

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