Geodesic
Diffusion approximation in a radiative transfer model for astrophysical flows
Laurent Di Menza1 ; Claire Michaut2 ; Océane Saincir1
1 LMR, FRE CNRS 2011, Université de Reims Champagne-Ardenne, Moulin de la Housse, 51687 Reims Cedex 2 France and LUTH, Observatoire de Paris, PSL Research University, CNRS, Université Paris Diderot, 92190 Meudon, France
2 LUTH, Observatoire de Paris, PSL Research University, CNRS, Université Paris Diderot, 92190 Meudon, France
ESAIM. Proceedings, Tome 64 (2018), pp. 78-92.

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In this work, we present the diffusion approximation model for radiative transfer when we deal with optically thick astrophysical flows. Since the initial model is high CPU time demanding when dealing with its numerical approximation, solving this simpler system can provide a low cost strategy for the simulation of radiative media. We then use a finite-volume algorithm coupled with an implicit scheme for radiative contributions to solve this simplified system. Numerical experiments in the one-dimensional and two dimensional cases are presented to validate our numerical strategy and to prove the relevance of this asymptotic model.
DOI : 10.1051/proc/201864078

Laurent Di Menza 1 ; Claire Michaut 2 ; Océane Saincir 1

1 LMR, FRE CNRS 2011, Université de Reims Champagne-Ardenne, Moulin de la Housse, 51687 Reims Cedex 2 France and LUTH, Observatoire de Paris, PSL Research University, CNRS, Université Paris Diderot, 92190 Meudon, France
2 LUTH, Observatoire de Paris, PSL Research University, CNRS, Université Paris Diderot, 92190 Meudon, France 
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     author = {Laurent Di Menza and Claire Michaut and Oc\'eane Saincir},
     title = {Diffusion approximation in a radiative transfer model for astrophysical flows},
     journal = {ESAIM. Proceedings},
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Laurent Di Menza; Claire Michaut; Océane Saincir. Diffusion approximation in a radiative transfer model for astrophysical flows. ESAIM. Proceedings, Tome 64 (2018), pp. 78-92. doi : 10.1051/proc/201864078. http://geodesic.mathdoc.fr/articles/10.1051/proc/201864078/

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