Scattering of water waves by axisymmetric bodies in a channel
type: Item
instance of: scholarly article
title: Scattering of water waves by axisymmetric bodies in a channel
zbMATH Open document ID: 0777.76015
DOI: 10.1007/BF00128970
author: P. McIver
author: G. S. Bennett
published in: Journal of Engineering Mathematics
publication date: 1993-05-16T00:00:00Z
review text: A variety of methods are presented for the treatment of the scattering problem for a vertically axisymmetric body placed arbitrarily between vertical channel walls. A new accurate formulation for the case of a circular cylinder extending throughout the depth allows easier calculation than previous methods as there is no need to sum series of image singularities. In addition, two approximate solution methods have been given. The first is applicable only to the vertical cylinder and is based on the assumption that the radius is much smaller than other lengths in the problem. Simple explicit expressions are derived for the wave forces on the cylinder and found to agree well with the accurate solution. The results of calculations of wave forces on a truncated cylinder are also given. All of the methods described may be applied just as easily to the case of an off-center body as to a centrally placed body.
reviewed by: Walter Wuest
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 168156
zbMATH Keywords: vertical cylinder
zbMATH Keywords: wave forces
zbMATH Keywords: truncated cylinder
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00128970
OpenAlex ID: W2089168866
description: scientific article; zbMATH DE number 168156