The performance of the higher-order radiation condition method for the penetrable cylinder
type: Item
instance of: scholarly article
title: The performance of the higher-order radiation condition method for the penetrable cylinder
zbMATH Open document ID: 1141.76062
DOI: 10.1155/2007/17605
author: Bulent Yılmaz
published in: Mathematical Problems in Engineering
publication date: 2008-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/54366
review text: Summary: We have considered the scattering of a plane wave by a penetrable acoustic circular cylinder. The boundary conditions are continuity of total pressure and total velocity. The wave speed and density of the target are different from that of the surrounding medium. We investigated the performance of higher-order surface-radiation condition methods up to \(L_{4}\) operator in two dimensions. We assume that in the rectangular Cartesian system of axes, \((x,y,z)\), the \(z\) axis coincides with the axis of the cylinder and an incident wave propagates in a direction perpendicular to the \(z\) axis. All the field quantities are then independent of \(z\). Numerical results are added to present the change of the module of total field and the magnitude of far field with respect to \(\theta \).
Mathematics Subject Classification ID: 76Q05
Mathematics Subject Classification ID: 76M25
zbMATH DE Number: 5311280
zbMATH Keywords: wave scattering
zbMATH Keywords: total pressure
zbMATH Keywords: total velocity
MaRDI profile type: Publication
OpenAlex ID: W2141331541
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description: scientific article; zbMATH DE number 5311280