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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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Several flow regimes for the two-phase mixing derive from this analysis. Vincent Guillemaud 1 AuthorId: Nicolas Seguin 1 AuthorId: Such regimes for the two-phase flows are analogous to the torrential and fluvial regimes for the shallow-water equations. The existence and uniqueness of the weak entropy solution of ecou,ement conservation law is proved afterwards.

The numerical simulation of the strongly unbalanced liquid-vapor flows is at last applied to the safety analysis of the pressurized water nuclear reactors. These closure laws comply with an entropy inequality. 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.

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

Thursday, November 15, – Some features of this site may not work without it. Have you forgotten your login? Several hyperbolic models are considered here. The theory allows to understand and to justify the existence of the so-called multichoked flow. Current usage metrics About article metrics Return to article. 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.

Several numerical experiments are investigated: The third part deals with the numerical approximation of stiff source terms viphasique in the shallow-water equations when the topography gradient is included. The convective part is approximated by Finite Volume schemes and the relaxation terms are taken into account with the help of a splitting method.

Two-phase non-Darcy flow in heterogeneous porous media: The mathematical properties of this model are thereafter examined. The convective part is associated to a nonconservative hyperbolic system.

First, various nonconservative adaptations of standard Riemann solvers are developed to approach the convective part. This work investigates the properties of this model in order to simulate the phase transition flows occurring in nuclear engineering.

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An original approximate Godunov scheme, which enables to simulate steady states and dry zones, is presented and compared with the methods used in the industrial context. Using this numerical method, a careful comparison between the one- and two-pressure two-fluid models is presented. Data correspond to usage on the plateform after The starting point of the procedure Previous article Next article.


Unlike the classic nonconservative framework, these schemes converge towards the same solution. First, a theoretical thermodynamic framework is constructed to describe the liquid-vapor mixing. For a length greater than this maximum one, the flow is no more possible.

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. Article Abstract PDF 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.

In order to describe these phase transition flows, a two-fluid two-pressure approach is considered. 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. Volume 53, Number 6November-December Furthermore, we establish the linear and nonlinear stabilities of the liquid-vapor equilibrium.

Provided with this framework, various modelling choices are suggested for the interaction terms between the phases. Provided with these schemes, the whole numerical method preserves the liquid-vapor equilibria.

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