Hopf bifurcation in viscous, low-speed flows about an airfoil with structural coupling
type: Item
instance of: scholarly article
title: Hopf bifurcation in viscous, low-speed flows about an airfoil with structural coupling
zbMATH Open document ID: 0811.76046
DOI: 10.1016/0045-7930(94)90044-2
author: Mark J. Lutton
author: Philip S. Beran
published in: Computers and Fluids
publication date: 1995-05-03T00:00:00Z
review text: Time-dependent flows with very low Reynolds numbers \((R<2000)\) have been investigated. A semi-implicit first order accurate time integration algorithm is employed to solve the stream function-vorticity form of the Navier-Stokes equations. The algorithm is modified to include simple structural elements affixed to the airfoil. The structural model allows motion with two degrees of freedom. Numerical experiments are undertaken to determine the effect on the critical Reynolds number, at which the flow becomes unsteady. The variation of the Strouhal number with the computational domain size is explored. In addition, the structure of the Hopf bifurcation is investigated, with emphasis on the impact of the structural model.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 590227
zbMATH Keywords: stream function-vorticity formulation
zbMATH Keywords: semi-implicit first order accurate time integration algorithm
zbMATH Keywords: critical Reynolds number
zbMATH Keywords: Strouhal number
reviewed by: Ingolf Teipel
MaRDI profile type: Publication
full work available at URL: 0045-7930(94)90044-2
OpenAlex ID: W1966370979
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description: scientific article; zbMATH DE number 590227