Geodesic
Study of a Depressurisation Process at Low Mach number in a nuclear reactor core
Andrea Bondesan1 ; Stéphane Dellacherie2 ; Hélène Hivert3 ; Jonathan Jung4 ; Vanessa Lleras5 ; Colin Mietka6 ; Yohan Penel7
1 MAP5 UMR CNRS 8145 – Sorbonne Paris Cité – Université Paris Descartes 75270 Paris Cedex 6, France
2 DEN/DANS/DM2S/STMF – Commissariat à l’Énergie Atomique et aux Énergies Alternatives – Saclay, 91191 Gif-sur-Yvette, France
3 IRMAR – Institut de Recherche Mathématique de Rennes and IPSO (Inria Rennes – Bretagne atlantique and IRMAR)
4 LMA-IPRA UMR CNRS 5142 – Université de Pau et des Pays de l’Adour, 64013 Pau, France
5 IMAG UMR CNRS 5149 – Université de Montpellier, CC051, 34095 Montpellier cedex 5
6 ICJ UMR CNRS 5208, Université Lyon 1, 69622 Villeurbanne cedex
7 ANGE (CEREMA and Inria Paris) and LJLL UMR CNRS 7598 – Sorbonne Universités, UPMC Univ. Paris 06, 75005 Paris, France
ESAIM. Proceedings, Tome 55 (2016), pp. 41-60.

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This paper deals with the numerical treatment of two additional terms in the Lmnc-system modelling the coolant in a nuclear reactor core. The latter model was derived and studied by the authors in previous publications. On the one hand, we investigate the influence of the thermal conduction upon steady analytical solutions and upon numerical strategies designed in dimensions 1 and 2. On the other hand, we consider a time-varying thermodynamic pressure that enables to simulate a larger variety of physical situations. Taking into account the resulting terms in the equations lead us to adapt numerical methods to ensure accuracy. In particular, we use an adaptative mesh refinement procedure whose level of refinement depends on the phase.
DOI : 10.1051/proc/201655041

Andrea Bondesan 1 ; Stéphane Dellacherie 2 ; Hélène Hivert 3 ; Jonathan Jung 4 ; Vanessa Lleras 5 ; Colin Mietka 6 ; Yohan Penel 7

1 MAP5 UMR CNRS 8145 – Sorbonne Paris Cité – Université Paris Descartes 75270 Paris Cedex 6, France
2 DEN/DANS/DM2S/STMF – Commissariat à l’Énergie Atomique et aux Énergies Alternatives – Saclay, 91191 Gif-sur-Yvette, France
3 IRMAR – Institut de Recherche Mathématique de Rennes and IPSO (Inria Rennes – Bretagne atlantique and IRMAR)
4 LMA-IPRA UMR CNRS 5142 – Université de Pau et des Pays de l’Adour, 64013 Pau, France
5 IMAG UMR CNRS 5149 – Université de Montpellier, CC051, 34095 Montpellier cedex 5
6 ICJ UMR CNRS 5208, Université Lyon 1, 69622 Villeurbanne cedex
7 ANGE (CEREMA and Inria Paris) and LJLL UMR CNRS 7598 – Sorbonne Universités, UPMC Univ. Paris 06, 75005 Paris, France 
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     title = {Study of a {Depressurisation} {Process} at {Low} {Mach} number in a nuclear reactor core},
     journal = {ESAIM. Proceedings},
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     doi = {10.1051/proc/201655041},
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Andrea Bondesan; Stéphane Dellacherie; Hélène Hivert; Jonathan Jung; Vanessa Lleras; Colin Mietka; Yohan Penel. Study of a Depressurisation Process at Low Mach number in a nuclear reactor core. ESAIM. Proceedings, Tome 55 (2016), pp. 41-60. doi : 10.1051/proc/201655041. http://geodesic.mathdoc.fr/articles/10.1051/proc/201655041/

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