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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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. 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.

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.

For a length greater than this maximum one, the flow is no more possible. The ecoulemenr point of the procedure Current usage metrics About article metrics Return to article.

The numerical simulation of the strongly unbalanced liquid-vapor flows is at last applied to the safety analysis of the pressurized water nuclear reactors. The convective part is approximated by Finite Volume schemes ecpulement the relaxation terms are taken into account with the help of a splitting method.


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

Metrics Show article metrics. Provided with this framework, various modelling choices are suggested for eoulement interaction terms between the phases. Volume 53, Number 6November-December The existence and uniqueness of the weak entropy solution of a conservation law is proved afterwards. Files in this item. On the basis of its differential form and the second principle of thermodynamic, the properties of this flow are discussed.

The third part deals with the numerical approximation of stiff source terms occuring in the shallow-water equations when the topography gradient is included. Friday, April 9, – 1: Such regimes for the two-phase flows are analogous to the torrential and fluvial regimes for the shallow-water equations.

Vincent Guillemaud 1 AuthorId: First, a theoretical thermodynamic framework is constructed to describe the liquid-vapor mixing. Saturday, September 1, – 8: Nicolas Seguin 1 Details.

It is applied to the two-phase flow through discharge lines involving geometrical singularities sudden enlargement for example. First, various nonconservative adaptations of standard Riemann solvers are developed to approach the convective part.


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.

One shows that this maximum length is a function of the mass quality as well as the initial conditions, i. JavaScript is disabled for your browser.

The purpose of this work is to propose a derivation of a macroscopic model for a certain class of ecoulekent two-phase, incompressible, Newtonian fluid flow through homogenous porous media.

Nicolas Seguin 1 AuthorId: The determination of the Fanno limit shows the existence of a maximum length of the duct. Some closure laws for the interfacial velocity and for the interfacial pressure are proposed, allowing to define discontinuous solutions.

Modélisation et simulation numérique des écoulements diphasiques

The diphaasique part is associated to a nonconservative hyperbolic system. Several numerical experiments are investigated: Services Same authors – Google Scholar. Several flow regimes for the two-phase mixing derive from this analysis. 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.