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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It is applied to the two-phase flow through discharge lines involving geometrical singularities sudden enlargement for example.

This thesis is devoted to the modelling and numerical simulation of liquid-vapor flows. These closure laws comply with an entropy inequality. Such regimes for the two-phase flows are analogous to the torrential and fluvial regimes for the shallow-water equations. Several numerical experiments are investigated: The convective part is approximated by Finite Volume schemes and the relaxation terms are taken into account with the help of a splitting method. An original approximate Godunov scheme, which enables to simulate steady states and dry zones, is presented and compared with the methods used in the ecoulemennt context.

First, various nonconservative adaptations of standard Riemann solvers are developed to approach the convective part. The main topic of this work is the simulation of two-phase flows. The proposed model is validated 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.

The starting point of the procedure The existence and uniqueness of dipyasique weak entropy solution of a conservation law is proved afterwards. 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.


Provided with these schemes, the whole numerical method preserves the liquid-vapor equilibria. 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.

First, a theoretical thermodynamic framework is constructed to describe the liquid-vapor mixing. Initial download of the metrics may take a while. Two Finite Volume schemes are proposed and tested in agreement with the resonant diphazique of this model.

The numerical simulation of the strongly unbalanced diphasiqke flows is at last applied to the safety analysis of the pressurized water nuclear reactors.

Modelling and numerical simulation of two-phase flows using the two-fluid two-pressure approach. The third part deals with the numerical approximation of stiff source terms occuring in the shallow-water equations when the topography gradient is included.

Modélisation et simulation numérique des écoulements diphasiques

Volume 53, Number 6November-December The critical configuration and the maximum mass flowrate as well as the variables of the flow pressure and temperature predicted from the model diphasque in good agreement with the experimental results. Article Abstract PDF Friday, July ecoulemfnt, – Files in this item.

Finally, the implementation of a turbulence model and the introduction of a reconstruction process for the interfacial area are investigated in order to refine the description of the interfacial transfers. Latest newsletter Previous newsletters.

This scalar equation is a simplified model of a oil-liquid mixture flowing in a porous media. The convective part is associated to a nonconservative hyperbolic system. Metrics Show article metrics. JavaScript is disabled for your browser.

Using a fractional step approach, a Finite Volume method is at last constructed to simulate this model. Data correspond to usage on the plateform after The behaviour of an adiabatic two-phase gas-liquid flow through a duct with a constant cross-sectional area is studied from a thermodynamics point of view.

This description of the liquid-vapor mixing is associated to the seven-equation model introduced by Baer and Nunziato. Using this numerical method, a careful comparison between the one- and two-pressure two-fluid models is presented. Some features of this site may not work without it.


Wednesday, October 10, – 1: Significant inertial effects are observed for many applications such as flow in the near-wellbore region, in very permeable reservoirs or in packed-bed reactors.

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The theory allows to understand and to justify the existence of the so-called multichoked flow. Unlike the classic nonconservative framework, these schemes converge towards the same solution. On the basis of its differential form and the second principle of thermodynamic, the properties of this flow are discussed.

The last part corresponds to the analysis of a class of non-conservative hyperbolic models of two-phase flows, based on the two velocity and two pressure two-fluid approach. Tuesday, September 11, – 9: This work focuses on the stationary one-phase Newtonian flow in a class of homogeneous porous media at large enough flow rates leading to a non-linear relationship between the filtration velocity and the pressure gradient.

First, we focus on the definition of its weak solutions.

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

For a length greater than this maximum one, the flow is no more possible. Provided with this framework, various modelling choices are suggested for the interaction terms between the phases.

In the first ecoulemeent, recent Finite Volume schemes are compared for the approximation of the Homogeneous Equilibrium Model, in particular when the simulation involves low densities.

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