Geodesic
Shape optimization of a Sodium Fast Reactor core
Emmanuel Dombre1 ; Grégoire Allaire2 ; Olivier Pantz2 ; Damien Schmitt3
1 Edf RD, 1 avenue du Général De Gaulle, 92141 Clamart 
2 Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128 Palaiseau 
3 Edf RD, département SINETICS, 1 avenue du Général De Gaulle 92141 Clamart 
ESAIM. Proceedings, Tome 38 (2012), pp. 319-334.

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We apply in this paper a geometrical shape optimization method for the design of the core of a SFR (Sodium-cooled Fast Reactor) in order to minimize a thermal counter-reaction known as the sodium void effect. In this kind of reactors, by increasing the temperature, the core may become liable to a strong increase of reactivity, a key-parameter governing the chain-reaction at quasi-static states. We first use the one group energy diffusion model and give the generalization to the two groups energy equation. We then give some numerical results in the case of the one group energy equation. Note that the application of our method leads to some designs whose interfaces can be parametrized by very smooth curves which can stand very far from realistic designs. We don’t explain here the method that it would be possible to use for recovering an operational design but there exists several penalization methods (see [2]) that could be employed to this end.
DOI : 10.1051/proc/201238017

Emmanuel Dombre 1 ; Grégoire Allaire 2 ; Olivier Pantz 2 ; Damien Schmitt 3

1 Edf RD, 1 avenue du Général De Gaulle, 92141 Clamart 
2 Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128 Palaiseau 
3 Edf RD, département SINETICS, 1 avenue du Général De Gaulle 92141 Clamart  
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     author = {Emmanuel Dombre and Gr\'egoire Allaire and Olivier Pantz and Damien Schmitt},
     title = {Shape optimization of a {Sodium} {Fast} {Reactor} core},
     journal = {ESAIM. Proceedings},
     pages = {319--334},
     publisher = {mathdoc},
     volume = {38},
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     doi = {10.1051/proc/201238017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201238017/}
}
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Emmanuel Dombre; Grégoire Allaire; Olivier Pantz; Damien Schmitt. Shape optimization of a Sodium Fast Reactor core. ESAIM. Proceedings, Tome 38 (2012), pp. 319-334. doi : 10.1051/proc/201238017. http://geodesic.mathdoc.fr/articles/10.1051/proc/201238017/

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