The Micro-Macro Model for Transient Radiative Transfer Simulations

Maxime Roger (1) , Nicolas Crouseilles (2, 3) , Pedro J Coelho (4)

1 CETHIL - Centre d'Energétique et de Thermique de Lyon
2 IRMAR - Institut de Recherche Mathématique de Rennes
3 IPSO - Invariant Preserving SOlvers
4 DEM - Departamento de Engenharia Mecanica [Lisboa]

The micro-macro model is investigated for transient radiative transfer simulations with the discrete-ordinate method. The model decomposes the radiative intensity into its macroscopic and its mesoscopic parts. A coupled system of two equations, one at the macroscopic and the other at the mesoscopic scale, is obtained and solved. The radiative transfer predictions are more accurate with the micro-macro model than with the radiative transfer equation when the scattering optical thickness becomes important, since the in-scattering term in the micro-macro model is decreased with the help of the macroscopic equation. The micro-macro model is therefore an efficient alternative to the transient radiative transfer equation when the physical conditions are close to the diffusive regime.

Mots clés: transient radiative transfer; micro-macro model; multi-scale model; discrete-ordinate method

Domaines: Thermique [physics.class-ph]

Maxime Roger, Nicolas Crouseilles, Pedro J Coelho. The Micro-Macro Model for Transient Radiative Transfer Simulations. 15th International Heat Transfer Conference, Aug 2014, Kyoto, Japan. ⟨10.1615/IHTC15.rad.009222⟩. ⟨hal-01288439⟩