Geodesic
Study of a low Mach nuclear core model for single-phase flows
Manuel Bernard1 ; Stéphane Dellacherie2 ; Gloria Faccanoni3 ; Bérénice Grec4 ; Olivier Lafitte5 ; Tan-Trung Nguyen6 ; Yohan Penel1
1 INRIA Lille - Nord Europe, Parc Scientifique de la Haute Borne, 40 avenue Halley, 59658 Villeneuve d’Ascq, France
2 DEN/DANS/DM2S/STMF, Commissariat à l’Énergie Atomique Saclay, 91191 Gif-sur-Yvette, France
3 IMATH - Université du Sud Toulon-Var, avenue de l’Université, 83957 La Garde, France
4 MAP5 UMR CNRS 8145 - Université Paris Descartes - Sorbonne Paris Cité, 45 rue des Saints Pères, 75270 Paris Cedex 6, France
5 LAGA UMR 7539 - Institut Galilée - Université Paris 13, 99 avenue Jean-Baptiste Clément, 93430 Villetaneuse, France
6 LATP UMR 6632 - Université de Provence, Technopôle Château-Gombert, 39 rue F. Joliot Curie, 13453 Marseille Cedex 13, France
ESAIM. Proceedings, Tome 38 (2012), pp. 118-134.

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This paper deals with the modelling of the coolant (water) in a nuclear reactor core. This study is based on a monophasic low Mach number model (Lmnc model) coupled to the stiffened gas law for a single-phase flow. Some analytical steady and unsteady solutions are presented for the 1D case. We then introduce a numerical scheme to simulate the 1D model in order to assess its relevance. Finally, we carry out a normal mode perturbation analysis in order to approximate 2D solutions around the 1D steady solutions.
DOI : 10.1051/proc/201238007

Manuel Bernard 1 ; Stéphane Dellacherie 2 ; Gloria Faccanoni 3 ; Bérénice Grec 4 ; Olivier Lafitte 5 ; Tan-Trung Nguyen 6 ; Yohan Penel 1

1 INRIA Lille - Nord Europe, Parc Scientifique de la Haute Borne, 40 avenue Halley, 59658 Villeneuve d’Ascq, France
2 DEN/DANS/DM2S/STMF, Commissariat à l’Énergie Atomique Saclay, 91191 Gif-sur-Yvette, France
3 IMATH - Université du Sud Toulon-Var, avenue de l’Université, 83957 La Garde, France
4 MAP5 UMR CNRS 8145 - Université Paris Descartes - Sorbonne Paris Cité, 45 rue des Saints Pères, 75270 Paris Cedex 6, France
5 LAGA UMR 7539 - Institut Galilée - Université Paris 13, 99 avenue Jean-Baptiste Clément, 93430 Villetaneuse, France
6 LATP UMR 6632 - Université de Provence, Technopôle Château-Gombert, 39 rue F. Joliot Curie, 13453 Marseille Cedex 13, France 
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     author = {Manuel Bernard and St\'ephane Dellacherie and Gloria Faccanoni and B\'er\'enice Grec and Olivier Lafitte and Tan-Trung Nguyen and Yohan Penel},
     title = {Study of a low {Mach} nuclear core model for single-phase flows},
     journal = {ESAIM. Proceedings},
     pages = {118--134},
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     year = {2012},
     doi = {10.1051/proc/201238007},
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Manuel Bernard; Stéphane Dellacherie; Gloria Faccanoni; Bérénice Grec; Olivier Lafitte; Tan-Trung Nguyen; Yohan Penel. Study of a low Mach nuclear core model for single-phase flows. ESAIM. Proceedings, Tome 38 (2012), pp. 118-134. doi : 10.1051/proc/201238007. http://geodesic.mathdoc.fr/articles/10.1051/proc/201238007/

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