An application of the method of matched asymptotic expansions for low Reynolds number flow past a cylinder of arbitrary cross-section
type: Item
instance of: scholarly article
title: An application of the method of matched asymptotic expansions for low Reynolds number flow past a cylinder of arbitrary cross-section
zbMATH Open document ID: 1067.76026
DOI: 10.1155/S0161171204309105
author: Mirela Kohr
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2005-05-25T00:00:00Z
full work available at URL: https://eudml.org/doc/51485
review text: Summary: We study the low Reynolds number flow of an incompressible Newtonian fluid of infinite expanse past a cylinder of arbitrary cross-section by using the method of matched asymptotic expansions. The analysis that will be made in this paper is equivalent to that developed by \textit{H. Power} [Mat. Apl. Comput. 9, No. 2, 111--122 (1990; Zbl 0713.76034)] in order to solve the resulting inner (or Stokes) problems with the completed double-layer boundary integral equation method due to \textit{H. Power} and \textit{G. Miranda} [SIAM J. Appl. Math. 47, No. 4, 689--698 (1987; Zbl 0634.76029)]. We solve these problems by the boundary integral method developed by \textit{G. C. Hsiao} and \textit{R. Kress} [Appl. Numer. Math. 1, No. 1, 77--93 (1985; Zbl 0588.76048)].
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 76M45
Mathematics Subject Classification ID: 76M15
zbMATH DE Number: 2171615
zbMATH Keywords: boundary integral method
MaRDI profile type: Publication
OpenAlex ID: W1990730229
description: scientific article; zbMATH DE number 2171615