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.

This description of the liquid-vapor mixing is associated to the seven-equation model introduced by Baer and Nunziato. 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 convective part is approximated by Finite Volume schemes and the relaxation terms are taken into account with the help of a splitting method.

It is applied to the two-phase flow through discharge lines involving geometrical singularities sudden enlargement for example. Have you forgotten your login?

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. Nicolas Seguin 1 AuthorId: Provided with these schemes, the whole numerical method preserves the liquid-vapor equilibria. The current ecoluement metrics is ecouement hours after online publication and is updated daily on week days. The main topic of this work is the simulation of two-phase flows.

Metrics Show article metrics. Latest newsletter Previous newsletters. The convective part is associated to a nonconservative hyperbolic system. 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. Previous article Next article. Several numerical experiments are investigated: One shows that this maximum length is a function of the mass quality as well as the initial conditions, i.


The determination of the Fanno limit shows the existence of a maximum length of the duct. Unlike diphaskque classic nonconservative framework, these schemes converge towards the same solution.

These closure laws comply with an entropy inequality. JavaScript is disabled for your browser. The theory allows to understand and to justify the existence of the so-called multichoked flow.

Modélisation et simulation numérique des écoulements diphasiques

In the first part, eckulement Finite Volume schemes are compared for the approximation of the Homogeneous Equilibrium Model, in ecojlement when the simulation involves low densities. Furthermore, we establish the linear and nonlinear stabilities of the liquid-vapor equilibrium. The numerical simulation of the strongly unbalanced liquid-vapor flows is at last applied to the safety analysis of the pressurized water nuclear reactors. For a length greater than this maximum one, the flow is no more possible.

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Saturday, September 1, – 8: Friday, July 18, – 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.

Data correspond to usage on the plateform after This work focuses on the stationary one-phase Newtonian flow in a class of homogeneous porous media at large enough ecoupement rates leading to a non-linear relationship between the filtration velocity and the pressure gradient.

The existence and uniqueness of the weak entropy solution of a conservation law is proved afterwards. Have you forgotten your login? Some closure laws for the interfacial velocity and for the interfacial pressure are proposed, allowing to define discontinuous solutions. Such regimes for the two-phase flows are analogous to the torrential and fluvial regimes for the shallow-water equations. First, various nonconservative adaptations of standard Riemann solvers are developed to approach diphasiqud convective part.


Wednesday, October 10, – 1: Tuesday, September 11, – 9: 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. The mathematical properties of this model are thereafter examined.

Nicolas Seguin 1 Details. On the basis of its differential form and the second principle of thermodynamic, the properties of this flow are discussed. Initial download of the metrics may take a while. Two-phase non-Darcy flow in heterogeneous porous media: Services Same authors – Google Scholar.

Provided with this framework, various modelling choices are suggested for the interaction terms between the phases. Using this numerical method, a careful comparison between the one- and two-pressure two-fluid models is presented.

This scalar equation is a simplified model of a oil-liquid mixture flowing in a porous media. First, we focus on the definition of its weak solutions. Related ecoulemebt Showing items related ecoulemet title, author, creator and subject.

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

Several hyperbolic models are considered here. Volume 53, Number 6November-December The third part deals with the numerical approximation of stiff source terms occuring in the shallow-water equations when the topography gradient is included.

The last part corresponds to the analysis of a class of non-conservative hyperbolic models of two-phase flows, based on the diphasiique velocity and two pressure two-fluid approach.