[Schéma de relaxation asymptotic-preserving pour le transfert radiatif]
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.
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.
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@article{CRMATH_2007__344_7_467_0,
author = {Berthon, Christophe and Charrier, Pierre and Dubroca, Bruno},
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},
url = {http://www.numdam.org/articles/10.1016/j.crma.2007.02.004/}
}
TY - JOUR AU - Berthon, Christophe AU - Charrier, Pierre AU - Dubroca, Bruno 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 UR - http://www.numdam.org/articles/10.1016/j.crma.2007.02.004/ DO - 10.1016/j.crma.2007.02.004 LA - en ID - CRMATH_2007__344_7_467_0 ER -
%0 Journal Article %A Berthon, Christophe %A Charrier, Pierre %A Dubroca, Bruno %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 %U http://www.numdam.org/articles/10.1016/j.crma.2007.02.004/ %R 10.1016/j.crma.2007.02.004 %G en %F CRMATH_2007__344_7_467_0
Berthon, Christophe; Charrier, Pierre; Dubroca, Bruno. An asymptotic preserving relaxation scheme for a moment model of radiative transfer. Comptes Rendus. Mathématique, Tome 344 (2007) no. 7, pp. 467-472. doi : 10.1016/j.crma.2007.02.004. http://www.numdam.org/articles/10.1016/j.crma.2007.02.004/
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