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F. Coquel, J. M. Hérard, K. Saleh, and N. Seguin, A robust entropy-satisfying finite volume scheme for the isentropic Baer Nunziato model, ESAIM : Mathematical Modelling and Numerical Analysis, vol.48, pp.165-206, 2014.
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S. Gavrilyuk and R. Saurel, Mathematical and numerical modelling of two-phase compressible flows with micro inertia, Journal of Computational Physics, vol.175, pp.326-360, 2002.

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A. Ambroso, C. Chalons, and P. Raviart, A Godunov-type method for the seven-equation model of compressible two-phase flow, Comput. and Fluids, vol.54, pp.67-91, 2012.
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J. M. Hérard, A three-phase flow model, Mathematical and Computer Modelling, vol.45, pp.732-755, 2007.

J. M. Hérard and O. Hurisse, A fractional step method to compute a class of compressible gas-liquid flows, Computers and Fluids, vol.55, pp.57-69, 2012.

J. M. Hérard and H. Mathis, A three-phase flow model with two miscible phases, vol.53, pp.1373-1389, 2019.

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R. Meignen, B. Raverdy, S. Picchi, and J. Lamome, The challenge of modelling fuel-coolant interaction. Part II : steam explosion, Nuclear Engineering and Design, vol.280, pp.528-541, 2014.

S. Müller, M. Hantke, and P. Richter, Closure conditions for non-equilibrium multi-component models, Continuum Mechanics and Thermodynamics, vol.28, pp.1157-1189, 2016.

. Les-travaux-de-ce-chapitre, H. Boukili, and J. M. Hérard, Simulation and preliminary validation of a three-phase flow model with energy

C. Edf-lab, , vol.6

A. M. I2m and . Université, , vol.39, p.13453

G. Berthoud, Vapor explosions, Annual Review of Fluid Mechanics, vol.32, pp.573-611, 2000.

H. Boukili and J. M. Hérard, Simulation and validation of a three-phase flow model with energy
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F. Crouzet, F. Daude, P. Galon, J. Hérard, O. Hurisse et al., Validation of a two-fluid model on unsteady water-vapour flows, Computers and Fluids, vol.199, pp.131-142, 2015.
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S. Gavrilyuk, The structure of pressure relaxation terms : the one-velocity case, EDF report H-I83-2014-0276-EN, 2014.

J. M. Hérard, A three-phase flow model, Mathematical and Computer Modelling, vol.45, pp.732-755, 2007.

J. M. Hérard and O. Hurisse, A fractional step method to compute a class of compressible gas-liquid flows, Computers and Fluids, vol.55, pp.57-69, 2012.

I. Huhtiniemi, H. Hohmann, R. Faraoni, M. Field, R. Gambaretti et al., Technical Note No. I.96, vol.38, 1996.

O. Hurisse, Simulation des écoulements industriels diphasiques compressibles, 2017.

R. Meignen, B. Raverdy, S. Picchi, and J. Lamome, The challenge of modelling fuel-coolant interaction. Part II : steam explosion, Nuclear Engineering and Design, vol.280, pp.528-541, 2014.

, OECD research programme on fuel-coolant interaction steam explosion resolution for nuclear applications -SERENA, Organisation for Economic Co-operation and Development, Nuclear Energy Agency Committee on the Safety of Nuclear Installations, 2007.

, EV : 1. Sur le plan numérique, pour l'approximation du sous-système convectif on a considéré le schéma de Rusanov [64] à la fois pour le modèle barotrope et non barotrope. Le développement d'un solveur de Riemann plus robuste et surtout plus précis aurait un impact positif sur la précision du modèle global, Néanmoins, les aspects suivants peuvent être considérés, afin de rendre le modèle plus riche, plus robuste et mieux adapté aux scénarios d

C. Dans-le, Or, d'après l'analyse présentée dans le chapitre 2, les temps caractéristiques de relaxation ont un impact significatif sur les solutions du modèle. Il est donc nécessaire d'examiner la combinaison des algorithmes de relaxation vitesse et pression non instantanée avec les effets thermiques (relaxation de température et transfert de masse), afin de voir l'impact sur les résultats numériques, et permettre l'analyse d'un large spectre de temps de relaxation. En particulier, considérer un temps de relaxation non nul pour la vitesse permettra d'autoriser la variable d'aire interfaciale à évoluer en fonction de l'écoulement (en admettant des écarts de vitesse non nuls), choisi les algorithmes de relaxation instantanée pour les étapes de vitesse et pression

, Certains algorithmes mis en place reposent sur ces lois deux d'état pour garantir l'existence et unicité de solutions admissibles. Certes, les ordres de grandeur des solutions obtenues sont en accord assez satisfaisant avec les mesures expérimentales, mais il serait pertinent de considérer des lois d'état plus riches, afin de représenter de façon plus fidèle la physique des fluides, Les lois d'états choisies sont du type gaz parfait ou gaz raide

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