A multigrid method for solving steady viscoelastic fluid flow

A numerical method is presented in order to analyze steady viscoelastic fluid flows. A finite difference technique has been introduced on a non-uniform staggered grid system by adopting an upwind scheme to discretize the constitutive equations where the stress tensor can be decomposed into Newtonian...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2001-04, Vol.190 (31), p.4061-4080
Main Authors: Al Moatassime, Hassan, Jouron, Claude
Format: Article
Language:English
Subjects:
Computational methods in fluid dynamics
Exact sciences and technology
FAS algorithm
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Multigrid
Non-newtonian fluid flows
Oldroyd B fluid
Phan Thien–Tanner fluid
Physics
Planar four-to-one contraction
Staggered grid system
Stick–slip
Viscoelastic
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Summary:A numerical method is presented in order to analyze steady viscoelastic fluid flows. A finite difference technique has been introduced on a non-uniform staggered grid system by adopting an upwind scheme to discretize the constitutive equations where the stress tensor can be decomposed into Newtonian and non-Newtonian parts. In both, the FAS (Full Approximation Storage) multigrid algorithm is used. The performance of this method is investigated for the stick–slip and the four-to-one abrupt plane contraction problems. We have selected Oldroyd B and Phan Thien–Tanner fluid models for the calculations. Some results prove that the Oldroyd model is not totaly appropriate.
ISSN:0045-7825
1879-2138
DOI:10.1016/S0045-7825(00)00315-7