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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The third part deals with the numerical approximation of stiff source terms occuring in the shallow-water equations when the topography gradient is included. Tuesday, September 11, – 9: Such regimes for diphsaique two-phase flows are analogous to the torrential and fluvial regimes for the shallow-water equations.

Article Abstract PDF Using this numerical method, a careful comparison between the one- and two-pressure two-fluid models is presented. It is applied to the two-phase flow through discharge lines involving geometrical singularities sudden enlargement for example. The eccoulement part is associated to a nonconservative hyperbolic system. Related items Showing items related by title, author, creator and subject.

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

Saturday, September 1, – 8: For a length greater than this maximum one, the flow is no more possible. Friday, April 9, – 1: First, a theoretical thermodynamic framework is constructed to describe the liquid-vapor mixing. Volume 53, Number 6November-December Significant inertial effects are observed for many applications such as flow in the near-wellbore region, in very permeable reservoirs or in diphasiwue reactors.

This description of the liquid-vapor mixing is associated to the seven-equation model introduced by Baer and Nunziato. Using a fractional step approach, a Finite Volume method is at last constructed to simulate this model. Nicolas Seguin 1 AuthorId: In these cases, the classical description of two-phase flow The numerical simulation of the strongly unbalanced liquid-vapor flows is at last applied to the safety analysis of the pressurized water nuclear reactors.


In order to describe these phase transition flows, a two-fluid two-pressure approach is considered.

Two-phase non-Darcy flow in heterogeneous porous media: Latest newsletter Previous newsletters. First, we focus on the definition of its weak solutions. 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.

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. Have you forgotten your login? Furthermore, a new relaxation scheme is proposed to approach the interfacial transfers.

Vincent Guillemaud 1 Details. The main topic of this work is the simulation of two-phase flows. The theory allows to understand and to justify the existence of the diphaique multichoked flow.

Files in this item. Wednesday, October 10, – 1: 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. Provided with these schemes, the whole numerical method preserves the liquid-vapor equilibria. The convective part is approximated by Finite Volume schemes and the relaxation terms are taken into account with the help of a splitting method. Friday, July 18, – 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.


The current usage metrics is available hours after online publication and is updated daily on week days. Some closure laws for the interfacial velocity and for the interfacial pressure are proposed, allowing to define discontinuous solutions.

The results are systematically verified by considering the limit of a single phase ideal gas flow. 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.

Modélisation et simulation numérique des écoulements diphasiques

The existence and uniqueness of the weak entropy solution of a conservation law is proved afterwards. 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. This work focuses on the eccoulement 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.

Finally, the implementation of a turbulence model duphasique the introduction of a reconstruction process for the interfacial area are investigated in order to refine the description of the interfacial transfers.

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The mathematical properties of this model are thereafter examined. Thursday, November 15, – Services Same authors – Google Scholar.

These closure laws comply with an entropy inequality.