Radiative, conductive and convective heat-transfers in a single Monte Carlo algorithm

Richard A Fournier (1) , Stéphane Blanco (1) , Vincent Eymet (2) , Mouna El-Hafi (3) , Christophe Spiesser (3)

1 LAPLACE-GREPHE - Groupe de Recherche Energétique, Plasmas et Hors Equilibre
2 Méso-Star
3 RAPSODEE - Centre de recherche d'Albi en génie des procédés des solides divisés, de l'énergie et de l'environnement

It was recently shown that null-collision algorithms could lead to grid-free radiativetransfer Monte Carlo algorithms that immediately benefit of computer-graphics tools for an efficient handling of complex geometries [1, 2]. We here explore the idea of extending the approach to heat transfer problems combining radiation, conduction and convection. This is possible as soon as the model can be given the form of a second-kind Fredholm equation. In the following pages, we show that this is quite straightforward at the stationnary limit in the linear case. The oral presentation will provide corresponding simulation examples. Perspectives will then be drawn concerning the extension to non-stationnary cases and non-linear coupling.

Mots clés: Monte carlo method; Monte carlo method

Domaines: Thermique [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Génie des procédés

Richard A Fournier, Stéphane Blanco, Vincent Eymet, Mouna El-Hafi, Christophe Spiesser. Radiative, conductive and convective heat-transfers in a single Monte Carlo algorithm. Journal of Physics: Conference Series, 2016, 676 (1), art. 012007 - 3 p. ⟨10.1088/1742-6596/676/1/012007⟩. ⟨hal-01706727⟩