Geodesic
A multiscale problem in thermal science
Fabien Casenave1, 2 ; Mohamed Ghattassi3 ; Rémi Joubaud1, 4
1Université Paris Est, CERMICS, Ecole des Ponts ParisTech, 6 & 8 Av. Pascal, 77455 Marne-la-Vallée, France
2EADS France, Bâtiment Campus Engineering - Service IW/SE/MA, BP 90112 - 31703 BLAGNAC Cedex
3Institut Élie Cartan, Université Henri Poincaré Nancy 1, F-54506 Vandoeuvre-lès-Nancy Cedex
4ANDRA, DRD/EAP, Parc de la croix blanche, 1,7 rue Jean Monnet, 92298 Châtenay-Malabry Cedex, France
ESAIM. Proceedings, Tome 38 (2012), pp. 202-219
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We consider a multiscale heat problem in civil aviation: determine the temperature field in a plane in flying conditions, with air conditioning. Ventilated electronic components in the bay bring a heat source, introducing a second scale in the problem. First, we present three levels of modelling for the physical phenomena, which are applied to the two sub-problems: the plane and the electronic component. Then, having reduced the complexity of the problem to a linear non-symmetric coercive PDE, we will use the reduced basis method for the electronic component problem.
DOI : 10.1051/proc/201238011

Fabien Casenave  1 , 2   ; Mohamed Ghattassi  3   ; Rémi Joubaud  1 , 4

1 Université Paris Est, CERMICS, Ecole des Ponts ParisTech, 6 & 8 Av. Pascal, 77455 Marne-la-Vallée, France
2 EADS France, Bâtiment Campus Engineering - Service IW/SE/MA, BP 90112 - 31703 BLAGNAC Cedex 
3 Institut Élie Cartan, Université Henri Poincaré Nancy 1, F-54506 Vandoeuvre-lès-Nancy Cedex 
4 ANDRA, DRD/EAP, Parc de la croix blanche, 1,7 rue Jean Monnet, 92298 Châtenay-Malabry Cedex, France 
@article{EP_2012_38_a10,
     author = {Fabien Casenave and Mohamed Ghattassi and R\'emi Joubaud},
     title = {A multiscale problem in thermal science},
     journal = {ESAIM. Proceedings},
     pages = {202--219},
     year = {2012},
     volume = {38},
     doi = {10.1051/proc/201238011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201238011/}
}
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Fabien Casenave; Mohamed Ghattassi; Rémi Joubaud. A multiscale problem in thermal science. ESAIM. Proceedings, Tome 38 (2012), pp. 202-219. doi: 10.1051/proc/201238011

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