| Issue |
Math. Model. Nat. Phenom.
Volume 6, Number 5, 2011
Complex Fluids
|
|
|---|---|---|
| Page(s) | 130 - 156 | |
| DOI | https://doi.org/10.1051/mmnp/20116507 | |
| Published online | 10 August 2011 | |
A Dual Mixed Formulation for Non-isothermal Oldroyd–Stokes Problem
1
Département de Mathématiques et de Statistique, Université de
Moncton Moncton, N.B., E1A
3E9, Canada
2
Université de Lyon, Ecole Centrale de Lyon, CNRS UMR 5208 Institut
Camille Jordan 36, rue Guy de
Collongue, 69134
Ecully,
France
⋆ Corresponding author. E-mail: Abdel-Malek.Zine@ec-lyon.fr
We propose a mixed formulation for non-isothermal Oldroyd–Stokes problem where the both extra stress and the heat flux’s vector are considered. Based on such a formulation, a dual mixed finite element is constructed and analyzed. This finite element method enables us to obtain precise approximations of the dual variable which are, for the non-isothermal fluid flow problems, the viscous and polymeric components of the extra-stress tensor, as well as the heat flux. Furthermore, it has properties analogous to the finite volume methods, namely, the local conservation of the momentum and the mass.
Mathematics Subject Classification: 65N30 / 65N15 / 76D07
Key words: Oldroyd–Stokes problem / non–isotherm / dual mixed formulation
© EDP Sciences, 2011
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.