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Temporal acceleration techniques for viscoelastic flows

✍ Scribed by Matallah, H. ;Townsend, P. ;Webster, M. F.

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
251 KB
Volume
14
Category
Article
ISSN
1069-8299

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✦ Synopsis

This paper presents a ®nite element study based on a technique associated with time extrapolation to accelerate the convergence rate to the steady state for viscoelastic ¯ows. The approach adopted is a local extrapolation method attributed to Neville. Temporal extrapolation is embedded within a time-marching Taylor±Galerkin/pressure-correction scheme as applied to the solution of model channel ¯ow, 4 : 1 plane contraction ¯ow and ¯ow past a circular cylinder. In particular, consideration is given to obtaining steadystate solutions for an Oldroyd-B model. When extrapolation is performed for stress and velocity or pressure, then stress and velocity overshoot, which consequently leads to divergence. In contrast, a stable numerical scheme emerges when only the stress is extrapolated.

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