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Finite element approximation of viscoelastic fluid flow using characteristics method

โœ Scribed by A. Machmoum; D. Esselaoui

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
163 KB
Volume
190
Category
Article
ISSN
0045-7825

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โœฆ Synopsis

It is known that for the numerical approximation of Oldroyd's B model for viscoelastic ยฏuid ยฏows some upwinding is needed for the convection of the extra-stress tensor. In this paper we make the numerical analysis of such an approximation with upwinding by the method of characteristics in a ยฎnite element context. The approximate stress, velocity, and pressure are, respectively, P 1 discontinuous, P 2 continuous, and P 1 continuous. We suppose that the continuous problem admits a suciently smooth and suciently small solution. We show by a ยฎxed point method that the approximate problem has a solution and an error bound is given.

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