Geodesic
2D Numerical simulation of a low mach nuclear core model with stiffened gas using freefem++
Stéphane Dellacherie1 ; Gloria Faccanoni2 ; Bérénice Grec3 ; Ethem Nayir3 ; Yohan Penel4
1 DEN/DANS/DM2S/STMF, Commissariat à l’Énergie Atomique et aux Énergies Alternatives – Saclay, 91191 Gif-sur-Yvette, France
2 Université de Toulon – IMATH, EA 2134, avenue de l’Université, 83957 La Garde, France
3 MAP5 UMR CNRS 8145 - Université Paris Descartes - Sorbonne Paris Cité, 45 rue des Saints Pères, 75270 Paris Cedex 6, France
4 CEREMA-INRIA – team ANGE and LJLL UMR CNRS 7598, 4 place Jussieu, 75005 Paris, France
ESAIM. Proceedings, Tome 45 (2014), pp. 138-147.

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We investigate a simplified model describing the evolution of the coolant within a nuclear reactor core (e.g.of PWR type). This model is named Lmnc (for Low Mach Nuclear Core) and consists of the coupling between three equations of different types together with boundary conditions specific to the nuclear framework. After several articles dedicated to dimension 1, we present in this paper some monophasic two-dimensional numerical results when the fluid is modelled by the stiffened gas law describing the pure liquid phase. The underlying numerical strategy is based on the Finite-Element software FreeFem++.
DOI : 10.1051/proc/201445014

Stéphane Dellacherie 1 ; Gloria Faccanoni 2 ; Bérénice Grec 3 ; Ethem Nayir 3 ; Yohan Penel 4

1 DEN/DANS/DM2S/STMF, Commissariat à l’Énergie Atomique et aux Énergies Alternatives – Saclay, 91191 Gif-sur-Yvette, France
2 Université de Toulon – IMATH, EA 2134, avenue de l’Université, 83957 La Garde, France
3 MAP5 UMR CNRS 8145 - Université Paris Descartes - Sorbonne Paris Cité, 45 rue des Saints Pères, 75270 Paris Cedex 6, France
4 CEREMA-INRIA – team ANGE and LJLL UMR CNRS 7598, 4 place Jussieu, 75005 Paris, France 
@article{EP_2014_45_a14,
     author = {St\'ephane Dellacherie and Gloria Faccanoni and B\'er\'enice Grec and Ethem Nayir and Yohan Penel},
     title = {2D {Numerical} simulation of a low mach nuclear core model with stiffened gas using freefem++},
     journal = {ESAIM. Proceedings},
     pages = {138--147},
     publisher = {mathdoc},
     volume = {45},
     year = {2014},
     doi = {10.1051/proc/201445014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201445014/}
}
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Stéphane Dellacherie; Gloria Faccanoni; Bérénice Grec; Ethem Nayir; Yohan Penel. 2D Numerical simulation of a low mach nuclear core model with stiffened gas using freefem++. ESAIM. Proceedings, Tome 45 (2014), pp. 138-147. doi : 10.1051/proc/201445014. http://geodesic.mathdoc.fr/articles/10.1051/proc/201445014/

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