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A Dual Mixed Formulation for Non-isothermal Oldroyd–Stokes Problem
Published online by Cambridge University Press: 10 August 2011
Abstract
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.
- Type
- Research Article
- Information
- Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 5: Complex Fluids , 2011 , pp. 130 - 156
- Copyright
- © EDP Sciences, 2011
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