Pré-Publication, Document De Travail Année : 2008

A gas dynamics scheme for a two moments model of radiative transfer

Résumé

We address the discretization of the Levermore's two moments and entropy model of the radiative transfer equation. We present a new approach for the discretization of this model: first we rewrite the moment equations as a Compressible Gas Dynamics equation by introducing an additionnal quantity that plays the role of a density. After that we discretize using a Lagrange-projection scheme. The Lagrange-projection scheme permits us to incorporate the source terms in the fluxes of an acoustic solver in the Lagrange step, using the well-known "piecewise steady approximation" and thus to capture correctly the diffusion regime. Moreover we show that the discretization is entropic and preserve the flux-limited property of the moment model. Numerical examples illustrate the feasability of our approach.

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Dates et versions

hal-00127189 , version 1 (29-01-2007)
hal-00127189 , version 2 (19-11-2008)

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  • HAL Id : hal-00127189 , version 2

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Christophe Buet, Bruno Despres. A gas dynamics scheme for a two moments model of radiative transfer. 2008. ⟨hal-00127189v2⟩

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