An asymptotic preserving scheme for hydrodynamics radiative transfer models |
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Authors: | Christophe Buet Stéphane Cordier |
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Institution: | (1) Département des Sciences de la Simulation et de l’Information, CEA-DIF, 91680 Bruyères le Chatel, France;(2) MAPMO-UMR CNRS 6628, Fédération Denis Poisson, Université d’ Orléans, B.P. 6759, 45067 Orléans Cedex, France |
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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. |
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Keywords: | |
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