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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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. Metrics Show article metrics. Our interest in this work is the stationary one-phase Newtonian flow in a class of homogeneous porous media at ecuolement enough flow rates requiring the introduction of the inertial forces at the pore-scale. The existence and uniqueness of the weak entropy solution of a conservation law is proved afterwards.

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.

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

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. Furthermore, we establish the linear and nonlinear stabilities of the liquid-vapor equilibrium. The third part deals with the numerical approximation of stiff source terms occuring in the shallow-water equations when the topography gradient is included.


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Wednesday, October 10, – 1: Article Abstract PDF Modelling and numerical simulation of two-phase flows using the two-fluid two-pressure approach. This thesis is devoted to the modelling and numerical simulation of liquid-vapor flows.

Thursday, November 15, – 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.

The mathematical properties of this model are thereafter examined. In the first part, recent Finite Volume schemes are compared for the approximation of the Homogeneous Equilibrium Model, in particular when the simulation involves low densities. Nicolas Seguin 1 AuthorId: JavaScript is disabled for your browser.

Several numerical experiments are investigated: Vincent Guillemaud 1 Details.

Modélisation et simulation numérique des écoulements diphasiques

One shows that this maximum length is a function of the mass quality as well as the initial conditions, i. Tuesday, September 11, – 9: Diphwsique closure laws comply with an entropy inequality. 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. 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.

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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In these cases, the classical description of two-phase flow For a length greater than this maximum one, the flow is no more possible. Such regimes for the two-phase flows are analogous to the torrential and fluvial regimes for the shallow-water equations. Friday, April 9, – 1: Vincent Guillemaud 1 AuthorId: Data correspond to usage on the plateform after Have you forgotten your login? Provided with this framework, various modelling choices are suggested for the interaction terms between the phases.


The numerical simulation of the strongly unbalanced liquid-vapor flows is at last applied to the safety analysis of the pressurized water nuclear reactors. Some features of this site may not work without it.

The determination of the Fanno exoulement shows the existence of a maximum length of the duct. The main topic of this work is the simulation of two-phase flows. Latest newsletter Previous newsletters. Initial download of the metrics may take a while. Services Same authors – Google Scholar. 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. The convective part is associated to a nonconservative hyperbolic system.

Two-phase non-Darcy flow in heterogeneous porous media: By assuming the two-phase mixture as homogeneous, the treatment of the physical conservation laws makes eculement possible to obtain an analytical equation of the fluid evolution which expresses the difference between the Fanno and the isothermal evolutions. The starting point of the procedure First, we focus on the definition of its weak solutions. First, various nonconservative adaptations of standard Riemann solvers are developed to approach the convective fcoulement.