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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Furthermore, we establish the linear and nonlinear stabilities of the liquid-vapor equilibrium. Several numerical experiments are investigated: Some closure laws for the interfacial velocity and for the interfacial pressure are proposed, allowing to define discontinuous solutions.

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The mathematical properties of diphasque model are thereafter examined. Unlike the classic nonconservative framework, these schemes converge towards the same solution. The existence and uniqueness of the weak entropy solution of a diphqsique law is proved afterwards.

One shows that this maximum length is a function of the mass quality as well as the initial conditions, i. 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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TEL – Thèses en ligne – Modélisation et simulation numérique des écoulements diphasiques

Some features of this site may not work without it. Thursday, November 15, – The theory allows to understand and to justify the existence of the so-called multichoked flow.


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

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.

Using this numerical method, a careful comparison between the one- and two-pressure two-fluid models is presented. 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.

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. Data correspond to usage on the plateform after Have you forgotten your login?

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.

Using a fractional step approach, a Finite Volume method is at last constructed to simulate this model. This description of the liquid-vapor mixing is associated to the seven-equation model introduced by Baer dipahsique Nunziato. Have you forgotten your login? The determination of the Fanno limit shows the existence of a maximum length of the duct. Tuesday, September 11, – 9: These closure laws comply with an entropy inequality. Modelling and numerical simulation of two-phase flows using the two-fluid two-pressure approach.


The convective part is associated ecoule,ent a nonconservative hyperbolic system. Several hyperbolic models are considered here.

The main topic of this work is the simulation of two-phase flows. Initial download of the metrics may take a while.

Modélisation et simulation numérique des écoulements diphasiques

The last part corresponds to the analysis of a ecoulemenf of non-conservative hyperbolic models of two-phase flows, based on the two velocity and two pressure two-fluid approach. It is applied to the two-phase flow through discharge lines involving geometrical singularities sudden enlargement for example. Two Finite Volume schemes are proposed and tested in agreement with the resonant behavior of this model.

This thesis is devoted to the modelling and numerical simulation of liquid-vapor flows.

The starting point of the procedure In diphasoque cases, the classical description of two-phase flow Diphasiqie numerical simulation of the strongly unbalanced liquid-vapor flows is at last applied to the safety analysis of the pressurized water nuclear reactors. Vincent Guillemaud 1 Details. Provided with these schemes, the whole numerical method preserves the liquid-vapor equilibria.

By assuming the two-phase mixture as homogeneous, the treatment of the physical conservation laws makes it possible to obtain an analytical equation of the fluid evolution which expresses the difference between the Fanno and the isothermal evolutions.

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