On the use of several compact methods for the study of unsteady incompressible viscous flow round a circular cylinder
type: Item
instance of: scholarly article
title: On the use of several compact methods for the study of unsteady incompressible viscous flow round a circular cylinder
zbMATH Open document ID: 0619.76023
DOI: 10.1016/0045-7930(84)90009-4
author: Y. Lecointe
author: J. Piquet
published in: Computers and Fluids
publication date: 1984-01-01T00:00:00Z
review text: The unsteady viscous flow past a circular cylinder is studied numerically by means of several compact methods. In doing so, authors solve the incompressible Navier-Stokes equations in ''stretched'' polar coordinates in their vorticity stream function formulation. Fourth order accurate methods of ''Mehrstellen''-type (operator compact implicit technique) are compared to second order accurate methods applied to the study of the separated flow around a circular cylinder at several Reynolds numbers. The impulsively started cylinder at \(Re=200\) and 500 is considered without symmetry restrictions. Computational results include the bulge phenomenon at \(Re=200\), the occurrence of secondary vortices depending on the numerical schemes used at \(Re=550\), and of twin secondary vortices at \(Re=3000\). Moreover, the Kármán vortex street is investigated at \(Re=200\) with a uniform flow in the far field and with superimposed motions of the cylinder. In the latter case, a frequency analysis allows a critical examination of results pertaining to locked-in situations with regard to confinement effects.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 65Z05
zbMATH DE Number: 4005821
zbMATH Keywords: unsteady viscous flow
zbMATH Keywords: circular cylinder
zbMATH Keywords: incompressible Navier-Stokes equations
zbMATH Keywords: vorticity stream function formulation
zbMATH Keywords: Fourth order accurate methods
zbMATH Keywords: operator compact implicit technique
zbMATH Keywords: second order accurate methods
zbMATH Keywords: separated flow
zbMATH Keywords: occurrence of secondary vortices
zbMATH Keywords: Kármán vortex street
zbMATH Keywords: uniform flow
zbMATH Keywords: frequency analysis
zbMATH Keywords: confinement effects
MaRDI profile type: Publication
full work available at URL: 0045-7930(84)90009-4
OpenAlex ID: W2053279883
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description: scientific article; zbMATH DE number 4005821