Study of a low Mach nuclear core model for two-phase flows with phase transition II: tabulated equation of state

Abstract : In order to model the water flow in a nuclear reactor core, the authors carried out several studies coupling the Low Mach nuclear core (Lmnc) model of partial differential equations to the stiffened gas law for the physical behaviour. The Lmnc model is derived from the Navier-Stokes equations through an asymptotic expansion with respect to the Mach number commonly assumed to be small in this domain of application. This simplified system of equations provides qualitative results under the stiffened gas hypothesis such as analytical solutions in dimension 1 and enables a simple numerical treatment no matter what the dimension. In the regime of interest (namely high pressure situations), the stiffened gas law turns out to be inaccurate. That is why this paper is devoted to the coupling of the Lmnc model to an equation of state tuned by means of experimental values (NIST) for thermodynamic variables. The very point in this study consists in fitting tabulated values and derivatives satisfying positivity and monotonicity constraints, showing a clear improvement in the quantitive results.
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Pré-publication, Document de travail
MAP5 2016-03. 2015
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https://hal.archives-ouvertes.fr/hal-01111730
Contributeur : Yohan Penel <>
Soumis le : vendredi 8 janvier 2016 - 14:34:23
Dernière modification le : lundi 2 juillet 2018 - 10:04:02
Document(s) archivé(s) le : jeudi 10 novembre 2016 - 22:13:54

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  • HAL Id : hal-01111730, version 1

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Stéphane Dellacherie, Gloria Faccanoni, Bérénice Grec, Yohan Penel. Study of a low Mach nuclear core model for two-phase flows with phase transition II: tabulated equation of state. MAP5 2016-03. 2015. 〈hal-01111730v1〉

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