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Theses

Étude d'un modèle fin de changement de phase liquide-vapeur.
Contribution à l'étude de la crise d'ébullition.

Gloria Faccanoni 1, 2
2 LETR - Laboratoire d'Etudes Thermiques des Réacteurs
DM2S - Département de Modélisation des Systèmes et Structures : DEN/DM2S/SFME/LETR
Abstract : This thesis studies the modelling and the numerical simulation of two-phase flows with interfaces and phase change. This transition occurs through interfaces that are generated dynamically. We also take into account the heat diffusion, the surface tension and the gravity forces. The context is the simulation of two-phase flows in a pressurized water reactor in the civil nuclear industry. We are interested here specifically in potential accidents and in particular in the boiling crisis. Two-phase flows with phase change are modeled by the Euler system closed by a single equation of state (EOS) obtained assuming local and instantaneous equilibrium with respect to pressure, temperature and chemical potential of each phase. We next prove the hyperbolicity of the system and study its Riemann problem. From a numerical point of view, since there is no explicit expression of the equilibrium EOS in the general case, we propose simple means to approximate this EOS when both phases are governed by any type of EOS, including tabulated ones. Finally, we present a relaxation/projection type numerical scheme based on this approximation of the equilibrium EOS for simulating two-phase flows with phase change.
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https://pastel.archives-ouvertes.fr/tel-00363460
Contributor : Gloria Faccanoni <>
Submitted on : Monday, February 23, 2009 - 2:02:54 PM
Last modification on : Tuesday, April 28, 2020 - 11:28:10 AM
Long-term archiving on: : Friday, October 12, 2012 - 12:20:23 PM

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  • HAL Id : tel-00363460, version 1

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Gloria Faccanoni. Étude d'un modèle fin de changement de phase liquide-vapeur.
Contribution à l'étude de la crise d'ébullition.. Modélisation et simulation. Ecole Polytechnique X, 2008. Français. ⟨tel-00363460⟩

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