Journal of Fluid Mechanics

Table of Contents - Volume 188 - 1988  


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

P. A.  Martin a1 and Robert A.  Dalrymple a2
a1 Department of Mathematics, University of Manchester, Manchester, M13 9PL, UK
a2 Ocean Engineering Group, Department of Civil Engineering, University of Delaware, Newark, DE 19716, USA

Article author query
martin pa   [Google Scholar] 
dalrymple ra   [Google Scholar] 
 

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.

(Published Online April 21 2006)
(Received May 27 1987)
(Revised July 31 1987)


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