Simulation of viscoelastic fluids: Couette-Taylor flow
type: Item
instance of: scholarly article
title: Simulation of viscoelastic fluids: Couette-Taylor flow
zbMATH Open document ID: 0935.76058
author: Raz Kupferman
published in: Journal of Computational Physics
publication date: 1999-05-02T00:00:00Z
review text: We present a numerical scheme for viscoelastic flow based on a second-order central differencing method recently introduced in the context of incompressible Newtonian flow; the incompressibility constraint is treated with the projection method. We implement the new method on Couette-Taylor flow for a fluid governed by the Oldroyd-B constitutive equations. A transient flow is simulated in a domain that includes at least eight wavelengths during many hundreds of natural periods. For weak elasticity, a stationary instability leading to Taylor vortices is observed. For a regime of parameters where both inertia and elasticity are important, the instability is oscillatory. In both cases the early stage growth rates are compared to linear stability calculations, showing good agreement. \(\copyright\) Academic Press.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76A10
Mathematics Subject Classification ID: 76E07
Mathematics Subject Classification ID: 76U05
zbMATH DE Number: 1282740
zbMATH Keywords: standing wave
zbMATH Keywords: traveling wave
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: oscillatory instability
zbMATH Keywords: second-order central differencing method
zbMATH Keywords: incompressibility constraint
zbMATH Keywords: projection method
zbMATH Keywords: Couette-Taylor flow
zbMATH Keywords: Oldroyd-B constitutive equations
zbMATH Keywords: stationary instability
MaRDI profile type: Publication
full work available at URL: jcph.1998.5934
OpenAlex ID: W2148208566
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DOI: 10.1006/JCPH.1998.5934
description: scientific article; zbMATH DE number 1282740