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Nonconforming finite element approximation of the Giesekus model for polymer flows

✍ Scribed by R. Becker; D. Capatina; D. Graebling; J. Joie

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
618 KB
Volume
46
Category
Article
ISSN
0045-7930

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✦ Synopsis

We present a numerical approximation of the Giesekus equation which is considered as a realistic model for polymer flows. We use nonconforming finite elements on quadrilateral grids which necessitate the addition of two stabilization terms. An appropriate upwind scheme is employed for the convective term. The underlying discrete Stokes problem is then analysed. Finally, numerical tests are presented in order to validate the code, illustrating its good behavior for large Weissenberg numbers. Comparisons with Polyflow Γ’ and with the literature are also carried out.

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