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A mixed finite element method for a quasi-Newtonian fluid flow

✍ Scribed by M. Farhloul; A. M. Zine

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
146 KB
Volume
20
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

We propose a mixed formulation for quasi‐Newtonian fluid flow obeying the power law where the stress tensor is introduced as a new variable. Based on such a formulation, a mixed finite element is constructed and analyzed. This finite element method possesses local (i.e., at element level) conservation properties (conservation of the momentum and the mass) as in the finite volume methods. We give existence and uniqueness results for the continuous problem and its approximation and we prove error bounds. Β© 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2004.

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