Comparison of Different Formulations for the Numerical Calculation of Unsteady Incompressible Viscoelastic Fluid Flow
Year: 2010
Author: L. J. Amoreira, P. J. Oliveira
Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 4 : pp. 483–502
Abstract
In this paper we compare different methods currently used in the stabilization of numerical simulations of time-dependent viscoelastic fluid flows described with the Oldroyd-B and related models. The methods under consideration, based on the separation of newtonian-like components from the stress tensor, are applied to a finite volume analysis of two simple benchmark problems (the plane Poiseuille startup and pulsated flows), for which analytical solutions are known. The relative performances of each method are evaluated regarding stability, accuracy and efficiency.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.10-m1010
Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 4 : pp. 483–502
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20