A new relaxation scheme is exhibited to approximate the weak solutions of the model to simulate radiative transfer. This numerical method uses better wavespeed approximations than the current schemes. In addition, it is proved to satisfy all the required stability properties and the asymptotic preserving property.
Les solutions faibles du modèle pour le transfert radiatif sont approchées par un nouveau schéma de relaxation. Cette méthode propose une meilleure approximations des vitesses d'onde que celle habituellement considérées par les schémas actuels. De plus, nous établissons les propriétés de stabilité nécessaires ainsi que la satisfaction de la limite diffusive.
Accepted:
Published online:
Christophe Berthon 1, 2; Pierre Charrier 1; Bruno Dubroca 1, 3
@article{CRMATH_2007__344_7_467_0,
author = {Christophe Berthon and Pierre Charrier and Bruno Dubroca},
title = {An asymptotic preserving relaxation scheme for a moment model of radiative transfer},
journal = {Comptes Rendus. Math\'ematique},
pages = {467--472},
publisher = {Elsevier},
volume = {344},
number = {7},
year = {2007},
doi = {10.1016/j.crma.2007.02.004},
language = {en},
}
TY - JOUR AU - Christophe Berthon AU - Pierre Charrier AU - Bruno Dubroca TI - An asymptotic preserving relaxation scheme for a moment model of radiative transfer JO - Comptes Rendus. Mathématique PY - 2007 SP - 467 EP - 472 VL - 344 IS - 7 PB - Elsevier DO - 10.1016/j.crma.2007.02.004 LA - en ID - CRMATH_2007__344_7_467_0 ER -
%0 Journal Article %A Christophe Berthon %A Pierre Charrier %A Bruno Dubroca %T An asymptotic preserving relaxation scheme for a moment model of radiative transfer %J Comptes Rendus. Mathématique %D 2007 %P 467-472 %V 344 %N 7 %I Elsevier %R 10.1016/j.crma.2007.02.004 %G en %F CRMATH_2007__344_7_467_0
Christophe Berthon; Pierre Charrier; Bruno Dubroca. An asymptotic preserving relaxation scheme for a moment model of radiative transfer. Comptes Rendus. Mathématique, Volume 344 (2007) no. 7, pp. 467-472. doi : 10.1016/j.crma.2007.02.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.02.004/
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