A multiscale problem in thermal science

Fabien Casenave; Mohamed Ghattassi; Rémi Joubaud

doi:10.1051/proc/201238011

Geodesic

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A multiscale problem in thermal science

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

ESAIM. Proceedings, Tome 38 (2012), pp. 202-219.

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Résumé

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

Affiliations des auteurs :

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

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     doi = {10.1051/proc/201238011},
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     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. http://geodesic.mathdoc.fr/articles/10.1051/proc/201238011/

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