The scattering of water waves by an array of circular cylinders in a channel
type: Item
instance of: scholarly article
title: The scattering of water waves by an array of circular cylinders in a channel
zbMATH Open document ID: 0898.76010
DOI: 10.1007/BF00042787
author: C. M. Linton
author: P. McIver
published in: Journal of Engineering Mathematics
publication date: 1998-11-08T00:00:00Z
review text: The multipole method is used to solve the full linear problem of scattering of an incident plane wave in a channel by an arbitrary array of bottom-mounted vertical circular cylinders. A simple formula is derived for the velocity potential in the vicinity of a cylinder and on the cylinder surfaces, which allows to evaluate easily hydrodynamic forces. Using matched asymptotic expansions, the authors derive an approximate solution to the problem, based on the assumption that the wavelength of the incident wave is long compared with the cylinder radii. This leads to a simple method for calculating the first-order forces on the cylinders, which is accurate when the nondimensional wavenumber is less than 0,5. This approximation can be useful by checking the results computed by other methods.
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 1076443
zbMATH Keywords: first-order forces on cylinders
zbMATH Keywords: multipole method
zbMATH Keywords: velocity potential
zbMATH Keywords: matched asymptotic expansions
zbMATH Keywords: approximate solution
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1076443