A direct boundary integral equation formulation for the Oseen flow past a two-dimensional cylinder of arbitrary cross-section
type: Item
instance of: scholarly article
title: A direct boundary integral equation formulation for the Oseen flow past a two-dimensional cylinder of arbitrary cross-section
zbMATH Open document ID: 0658.76025
DOI: 10.1007/BF01190877
published in: Acta Mechanica
publication date: 1987-01-01T00:00:00Z
review text: The method of linearizing the Navier-Stokes equations to describe the motion of an infinitely long cylinder immersed in a viscous fluid leads to the paradoxical conclusion that solutions obtained in this way are logarithmically unbounded at infinity. To clarify this paradox, Oseen suggested a more rational approximation of the equations in which the convective terms are considered. Further progress was achieved by Imai who found the explicit form for the steady-stream function asymptotically far from the cylinder. The present work gives a new formulation of the Oseen approximate equations in the form of a pair of linear integral equations extended to the boundary of the cylinder and subsequently discretized into a system of linear algebraic equations. Numerical calculations, performed when the boundary is a circle, are compared with other results available in the literature.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 4076813
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: infinitely long cylinder
zbMATH Keywords: steady-stream function
zbMATH Keywords: Oseen approximate equations
zbMATH Keywords: linear integral equations
author: Mark A. Kelmanson
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4076813