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An asymptotic preserving scheme for hydrodynamics radiative transfer models

Numerics for radiative transfer

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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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Authors and Affiliations

  1. Département des Sciences de la Simulation et de l’Information, CEA-DIF, 91680, Bruyères le Châtel, France

    Christophe Buet

  2. MAPMO-UMR CNRS 6628, Fédération Denis Poisson, Université d’ Orléans, B.P. 6759, 45067, Orléans Cedex, France

    Stéphane Cordier

Authors
  1. Christophe Buet
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  2. Stéphane Cordier
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Correspondence to Stéphane Cordier.

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Buet, C., Cordier, S. An asymptotic preserving scheme for hydrodynamics radiative transfer models. Numer. Math. 108, 199–221 (2007). https://doi.org/10.1007/s00211-007-0094-x

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  • DOI: https://doi.org/10.1007/s00211-007-0094-x

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