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Study of a low Mach nuclear core model for two-phase flows with phase transition I: stiffened gas law

Published online by Cambridge University Press:  24 September 2014

Manuel Bernard ,
Stéphane Dellacherie ,
Gloria Faccanoni ,
Bérénice Grec  and
Yohan Penel
Manuel Bernard
Affiliation:
IFPEN – Lyon, BP 3, 69360 Solaize, France.. manuel.bernard@ifpen.fr
Stéphane Dellacherie
Affiliation:
DEN/DANS/DM2S/STMF, Commissariat à l’Énergie Atomique et aux Énergies Alternatives – Saclay, 91191 Gif-sur-Yvette, France. ; stephane.dellacherie@cea.fr
Gloria Faccanoni
Affiliation:
Université de Toulon – IMATH, EA 2134, avenue de l’Université, 83957 La Garde, France. ; faccanon@univ-tln.fr
Bérénice Grec
Affiliation:
MAP5 UMR CNRS 8145 – Université Paris Descartes, Sorbonne Paris Cité, 45 rue des Saints Pères, 75270 Paris Cedex 6, France. ; berenice.grec@parisdescartes.fr
Yohan Penel
Affiliation:
CEREMA-INRIA – team ANGE and LJLL UMR CNRS 7598, 4 place Jussieu, 75005 Paris, France.; yohan.penel@cerema.fr
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Abstract

In this paper, we are interested in modelling the flow of the coolant (water) in a nuclear reactor core. To this end, we use a monodimensional low Mach number model supplemented with the stiffened gas law. We take into account potential phase transitions by a single equation of state which describes both pure and mixture phases. In some particular cases, we give analytical steady and/or unsteady solutions which provide qualitative information about the flow. In the second part of the paper, we introduce two variants of a numerical scheme based on the method of characteristics to simulate this model. We study and verify numerically the properties of these schemes. We finally present numerical simulations of a loss of flow accident (LOFA) induced by a coolant pump trip event.

Keywords

Low Mach number flowsmodelling of phase transitionanalytical solutionsmethod of characteristicspositivity-preserving schemes
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 48 , Issue 6 , November 2014 , pp. 1639 - 1679
Copyright
© EDP Sciences, SMAI 2014

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