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Dans ce mémoire, on s’intéresse à la simulation des écoulements liquide-vapeur en transition de phase. Pour décrire ces écoulements, une approche bifluide. Résumé: On s’intéresse dans ce travail à la simulation des écoulements diphasiques. Différents modèles, tous hyperboliques, sont considérés suivant les . Download Citation on ResearchGate | Ecoulement diphasique compressible et immiscible en milieu poreux: analyse mathématique et numérique | L’objectif de .

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For a length greater than this maximum one, the flow is no more possible. Some closure laws for the interfacial velocity and for the interfacial pressure are proposed, allowing to define discontinuous solutions. Friday, April 9, – 1: The behaviour of an adiabatic two-phase gas-liquid flow through a duct with a constant cross-sectional diphasiquee is studied from a thermodynamics point of view. The convective part is associated to a nonconservative hyperbolic system.

Saturday, September 1, – 8: Services Same authors – Google Scholar. The third part deals with the numerical diiphasique of stiff source terms occuring in the shallow-water equations when the topography gradient is included.

Two Finite Volume schemes are proposed and tested in agreement with the resonant behavior of this model. Modelling and numerical simulation of two-phase flows using the two-fluid two-pressure approach.


The determination of the Fanno limit shows the existence of a maximum length of the duct. JavaScript is disabled for your browser. Current usage metrics About article eciulement Return to article. The purpose of this work is to propose a derivation of a macroscopic model for a certain class of inertial two-phase, incompressible, Newtonian fluid flow through homogenous porous media.

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These closure laws comply with an entropy inequality. Wednesday, October 10, – 1: First, a theoretical thermodynamic framework is constructed to describe the liquid-vapor mixing.

TEL – Thèses en ligne – Modélisation et simulation numérique des écoulements diphasiques

The results are systematically verified by considering the limit of a single phase ideal gas flow. Thursday, November 15, – The theory allows to understand and to justify the ecoulemnet of the so-called multichoked flow. Article Abstract PDF The numerical simulation of the strongly unbalanced liquid-vapor flows is at last applied to the safety analysis of the pressurized water nuclear reactors.

This scalar equation is a simplified model of a oil-liquid mixture flowing in a porous media. By assuming the two-phase mixture as homogeneous, the treatment of the physical conservation laws makes it diphasque to obtain an analytical equation of the fluid evolution which expresses the difference between the Fanno and the isothermal evolutions.

Modélisation et simulation numérique des écoulements diphasiques

Provided with this framework, various modelling choices are suggested for the interaction terms between the phases. Latest newsletter Previous newsletters.


The proposed model is dkphasique on the basis of experimental data obtained for quasi steady-state discharges of pure nitrogen and water-nitrogen mixture through a complex pressure relief line involving several abrupt enlargements. Several hyperbolic models are considered here. The critical configuration and the maximum mass flowrate as well as the variables of the flow pressure and temperature predicted from the model are in good agreement with the experimental results.

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Our interest in this work is the stationary one-phase Newtonian flow in a class of homogeneous porous media at large enough flow rates requiring the introduction of the inertial forces at the pore-scale. Several flow regimes for the two-phase mixing derive from this analysis. Provided with these schemes, the whole numerical method preserves the liquid-vapor equilibria. This description of the liquid-vapor mixing is associated to the seven-equation model introduced by Baer and Nunziato.

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