Etude théorique et numérique d'une hiérarchie de modèles aux moments pour le transfert radiatif

Abstract

As in kinetic theory approach, we study the minimum entropy principle applied on the radiative transfer equation coupled with matter. As a result of this principle we present a hierarchy of closed systems of moments. Every member of the hierarchy is hyperbolic, flux-limited and possesses an entropy locally dissipated. Moreover, every member formally recovers the diffusion limit. The first model of the hierarchy is analyzed.