Numerical solution of two-dimensional Stokes equations for flow with particles in a channel of arbitrary shape using boundary-conforming coordinates
type: Item
instance of: scholarly article
title: Numerical solution of two-dimensional Stokes equations for flow with particles in a channel of arbitrary shape using boundary-conforming coordinates
zbMATH Open document ID: 0601.76024
DOI: 10.1016/0021-9991(86)90116-6
published in: Journal of Computational Physics
publication date: 1986-01-01T00:00:00Z
full work available at URL: pmc5609713
review text: A numerical scheme is proposed for the solution of two-dimensional Stokes equations in a multiconnected domain. The numerical procedure is based on a finite-difference solution of the governing equations in general curvilinear coordinates. Several examples of calculations are presented for a circular particle in a plane channel; the results are compared to known analytical solutions. The proposed scheme is applicable to the cases of flow around multiple stationary or moving particles of arbitrary shape in channels of arbitrary shape.
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3970301
zbMATH Keywords: boundary-conforming coordinates
zbMATH Keywords: two-dimensional quasi-steady creeping flow equations
zbMATH Keywords: numerical scheme
zbMATH Keywords: two-dimensional Stokes equations
zbMATH Keywords: multiconnected domain
zbMATH Keywords: finite-difference solution
zbMATH Keywords: general curvilinear coordinates
zbMATH Keywords: circular particle in a plane channel
zbMATH Keywords: analytical solutions
zbMATH Keywords: moving particles of arbitrary shape
author: Arkady S. Dvinsky
author: Aleksander S. Popel
MaRDI profile type: Publication
OpenAlex ID: W2006120249
Wikidata QID: Q41700232
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description: scientific article; zbMATH DE number 3970301