Multicomponent flow in a porous medium. Adsorption and Soret effect phenomena: local study and upscaling process

Serge Blancher; René Creff; Gérard Gagneux; Bruno Lacabanne; François Montel; David Trujillo

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 35, Issue: 3, page 481-512
  • ISSN: 0764-583X

Abstract

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Our aim here is to study the thermal diffusion phenomenon in a forced convective flow. A system of nonlinear parabolic equations governs the evolution of the mass fractions in multicomponent mixtures. Some existence and uniqueness results are given under suitable conditions on state functions. Then, we present a numerical scheme based on a "mixed finite element"method adapted to a finite volume scheme, of which we give numerical analysis. In a last part, we apply an homogenization technique to the studied equations in order to obtain an efficient modelling of Soret effect and adsorption in a porous medium at a macroscopic scale.

How to cite

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Blancher, Serge, et al. "Multicomponent flow in a porous medium. Adsorption and Soret effect phenomena: local study and upscaling process." ESAIM: Mathematical Modelling and Numerical Analysis 35.3 (2010): 481-512. <http://eudml.org/doc/197389>.

@article{Blancher2010,
abstract = { Our aim here is to study the thermal diffusion phenomenon in a forced convective flow. A system of nonlinear parabolic equations governs the evolution of the mass fractions in multicomponent mixtures. Some existence and uniqueness results are given under suitable conditions on state functions. Then, we present a numerical scheme based on a "mixed finite element"method adapted to a finite volume scheme, of which we give numerical analysis. In a last part, we apply an homogenization technique to the studied equations in order to obtain an efficient modelling of Soret effect and adsorption in a porous medium at a macroscopic scale. },
author = {Blancher, Serge, Creff, René, Gagneux, Gérard, Lacabanne, Bruno, Montel, François, Trujillo, David},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {System of nonlinear parabolic equations; Soret effect; separation by thermal diffusion; mixed finite element; finite volume scheme; homogenization; two scale convergence.; system of nonlinear parabolic equations; Schauder-Tikhonov fixed point theorem; mixed finite volume method; two scale convergence},
language = {eng},
month = {3},
number = {3},
pages = {481-512},
publisher = {EDP Sciences},
title = {Multicomponent flow in a porous medium. Adsorption and Soret effect phenomena: local study and upscaling process},
url = {http://eudml.org/doc/197389},
volume = {35},
year = {2010},
}

TY - JOUR
AU - Blancher, Serge
AU - Creff, René
AU - Gagneux, Gérard
AU - Lacabanne, Bruno
AU - Montel, François
AU - Trujillo, David
TI - Multicomponent flow in a porous medium. Adsorption and Soret effect phenomena: local study and upscaling process
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 35
IS - 3
SP - 481
EP - 512
AB - Our aim here is to study the thermal diffusion phenomenon in a forced convective flow. A system of nonlinear parabolic equations governs the evolution of the mass fractions in multicomponent mixtures. Some existence and uniqueness results are given under suitable conditions on state functions. Then, we present a numerical scheme based on a "mixed finite element"method adapted to a finite volume scheme, of which we give numerical analysis. In a last part, we apply an homogenization technique to the studied equations in order to obtain an efficient modelling of Soret effect and adsorption in a porous medium at a macroscopic scale.
LA - eng
KW - System of nonlinear parabolic equations; Soret effect; separation by thermal diffusion; mixed finite element; finite volume scheme; homogenization; two scale convergence.; system of nonlinear parabolic equations; Schauder-Tikhonov fixed point theorem; mixed finite volume method; two scale convergence
UR - http://eudml.org/doc/197389
ER -

References

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