| Issue |
ESAIM: Proc.
Volume 32, October 2011
CEMRACS'10 research achievements: Numerical modeling of fusion
|
|
|---|---|---|
| Page(s) | 56 - 75 | |
| DOI | https://doi.org/10.1051/proc/2011012 | |
| Published online | 03 November 2011 | |
An asymptotic preserving scheme for P1 model using classical diffusion schemes on unstructured polygonal meshes
1
CEA, DAM, DIF, Bruyères-le-Chatel, F-91297
Arpajon Cedex France
2
IRMA, Strasbourg University
France
A new scheme for discretizing the P1 model on unstructured polygonal meshes is proposed. This scheme is designed such that its limit in the diffusion regime is the MPFA-O scheme which is proved to be a consistent variant of the Breil-Maire diffusion scheme. Numerical tests compare this scheme with a derived GLACE scheme for the P1 system.
Résumé
Un nouveau schéma de discrétisation du modèle P1 sur maillage non structuré composé de polygones est proposé. Ce schéma est construit pour que sa limite en régime diffusion soit le schéma MPFA-O qu’on démontre être une variante consistante du schéma de diffusion de Breil-Maire. Ce schéma est comparé sur des cas tests avec un schéma dérivé du schéma GLACE pour le modèle P1.
© EDP Sciences, SAIM 2011
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