A Dual Mixed Formulation for Non-isothermal Oldroyd–Stokes Problem
Mathematical Modelling of Natural Phenomena (2011)
- Volume: 6, Issue: 5, page 130-156
- ISSN: 0973-5348
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topFarhloul, 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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