A Dual Mixed Formulation for Non-isothermal Oldroyd–Stokes Problem

M. Farhloul; A. Zine

Mathematical Modelling of Natural Phenomena (2011)

  • Volume: 6, Issue: 5, page 130-156
  • ISSN: 0973-5348

Abstract

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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.

How to cite

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Farhloul, M., and Zine, A.. "A Dual Mixed Formulation for Non-isothermal Oldroyd–Stokes Problem." Mathematical Modelling of Natural Phenomena 6.5 (2011): 130-156. <http://eudml.org/doc/222246>.

@article{Farhloul2011,
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.},
author = {Farhloul, M., Zine, A.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {Oldroyd–Stokes problem; non–isotherm; dual mixed formulation; Oldroyd-Stokes problem; non-isotherm},
language = {eng},
month = {8},
number = {5},
pages = {130-156},
publisher = {EDP Sciences},
title = {A Dual Mixed Formulation for Non-isothermal Oldroyd–Stokes Problem},
url = {http://eudml.org/doc/222246},
volume = {6},
year = {2011},
}

TY - JOUR
AU - Farhloul, M.
AU - Zine, A.
TI - A Dual Mixed Formulation for Non-isothermal Oldroyd–Stokes Problem
JO - Mathematical Modelling of Natural Phenomena
DA - 2011/8//
PB - EDP Sciences
VL - 6
IS - 5
SP - 130
EP - 156
AB - 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.
LA - eng
KW - Oldroyd–Stokes problem; non–isotherm; dual mixed formulation; Oldroyd-Stokes problem; non-isotherm
UR - http://eudml.org/doc/222246
ER -

References

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