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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Modelling and numerical simulation of two-phase flows using the two-fluid two-pressure approach. Thursday, November 15, – Nicolas Seguin 1 AuthorId: Have you forgotten your login? This scalar equation is a simplified model of a oil-liquid mixture flowing in a porous media. 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.
Friday, April 9, – 1: Several flow regimes for the two-phase mixing derive from this analysis.
Friday, July 18, – The main topic of this work is the simulation of two-phase flows. Using this numerical method, a careful comparison between the one- and two-pressure two-fluid models is presented.
Services Same authors – Google Scholar. 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. First, various nonconservative adaptations of standard Riemann solvers are developed to approach the convective part. For a length greater than this maximum one, the flow is no more possible.
Nicolas Seguin 1 Details. The mathematical properties of this model are thereafter examined. Some features of this site may not work without it. Several numerical experiments are investigated: Unlike the classic nonconservative framework, these schemes converge towards the same solution. Saturday, September 1, – 8: 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 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. These diphadique laws comply with an entropy inequality.
The current usage metrics is available hours after online publication and is updated daily on week days. The convective part is approximated by Finite Volume schemes and the relaxation terms are taken into account with the help of a splitting method.
Tuesday, September 11, – 9: This work focuses on the stationary 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.
Diphqsique original approximate Godunov scheme, which enables to rcoulement steady states and dry zones, is presented and compared with the methods used in the industrial context. Two-phase non-Darcy flow in heterogeneous porous media: Using a fractional step approach, a Finite Volume method is at last constructed to simulate this model. The starting point of the procedure Previous article Next article.
One shows that this maximum length is a function of the mass quality as well as the initial conditions, i.
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Related items Showing items related by title, author, creator and subject. Some closure laws for the interfacial velocity and for the interfacial pressure are proposed, allowing to define discontinuous solutions.
The convective ecoilement is associated to a nonconservative hyperbolic system. The third part deals with the numerical approximation of stiff source terms occuring in the shallow-water equations when the topography gradient is included. 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.
Such regimes for the two-phase flows are analogous to the torrential and fluvial regimes for the shallow-water equations.
Have you forgotten your login? The numerical simulation of the strongly unbalanced liquid-vapor flows is at last applied to the safety analysis of the pressurized water nuclear reactors. This description of the liquid-vapor mixing is associated to the seven-equation model introduced by Baer and Nunziato. Furthermore, we establish the linear and nonlinear stabilities of the liquid-vapor equilibrium.
In order to describe these phase transition flows, a two-fluid two-pressure approach is considered. Current usage metrics About article metrics Return to article. Provided with this framework, various modelling choices are suggested for the 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.
It is applied to the two-phase flow through discharge lines involving geometrical singularities sudden enlargement for example.