An asymptotic preserving scheme for hydrodynamics radiative transfer models: Numerics for radiative transfer

Authors:
Christophe Buet;Stéphane Cordier
Affiliations:
CEA-DIF, Département des Sciences de la Simulation et de l’Information, 91680, Bruyères le Châtel, France;Université d’ Orléans, MAPMO-UMR CNRS 6628, Fédération Denis Poisson, B.P. 6759, 45067, Orléans Cedex, France
Venue:
Numerische Mathematik
Year:
2007

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Abstract

In this paper, we present a numerical scheme for a hydrodynamics radiative transfer model consisting of two steps: the first one is based on a relaxation method and the second one on the well balanced scheme. The derivation of the scheme relies on the resolution of a stationary Riemann problem with source terms. The obtained scheme preserves the limited flux property and it is compatible with the diffusive regime of hydrodynamics radiative transfer models. These properties are illustrated by numerical tests, one of them involves a radiative transfer model coupled with an equation for the temperature of the material.