Geodesic
An asymptotic preserving scheme for P1 model using classical diffusion schemes on unstructured polygonal meshes
Emmanuel Franck1 ; Philippe Hoch1 ; Pierre Navaro2 ; Gérald Samba1
1 CEA, DAM, DIF, Bruyères-le-Chatel, F-91297 Arpajon Cedex France
2 IRMA, Strasbourg University France
ESAIM. Proceedings, Tome 32 (2011), pp. 56-75.

Voir la notice de l'article provenant de la source EDP Sciences

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.
DOI : 10.1051/proc/2011012

Emmanuel Franck 1 ; Philippe Hoch 1 ; Pierre Navaro 2 ; Gérald Samba 1

1 CEA, DAM, DIF, Bruyères-le-Chatel, F-91297 Arpajon Cedex France
2 IRMA, Strasbourg University France 
@article{EP_2011_32_a5,
     author = {Emmanuel Franck and Philippe Hoch and Pierre Navaro and G\'erald Samba},
     title = {An asymptotic preserving scheme for {P1} model using classical diffusion schemes on unstructured polygonal meshes},
     journal = {ESAIM. Proceedings},
     pages = {56--75},
     publisher = {mathdoc},
     volume = {32},
     year = {2011},
     doi = {10.1051/proc/2011012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/2011012/}
}
TY  - JOUR
AU  - Emmanuel Franck
AU  - Philippe Hoch
AU  - Pierre Navaro
AU  - Gérald Samba
TI  - An asymptotic preserving scheme for P1 model using classical diffusion schemes on unstructured polygonal meshes
JO  - ESAIM. Proceedings
PY  - 2011
SP  - 56
EP  - 75
VL  - 32
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc/2011012/
DO  - 10.1051/proc/2011012
LA  - en
ID  - EP_2011_32_a5
ER  - 
%0 Journal Article
%A Emmanuel Franck
%A Philippe Hoch
%A Pierre Navaro
%A Gérald Samba
%T An asymptotic preserving scheme for P1 model using classical diffusion schemes on unstructured polygonal meshes
%J ESAIM. Proceedings
%D 2011
%P 56-75
%V 32
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/proc/2011012/
%R 10.1051/proc/2011012
%G en
%F EP_2011_32_a5
Emmanuel Franck; Philippe Hoch; Pierre Navaro; Gérald Samba. An asymptotic preserving scheme for P1 model using classical diffusion schemes on unstructured polygonal meshes. ESAIM. Proceedings, Tome 32 (2011), pp. 56-75. doi : 10.1051/proc/2011012. http://geodesic.mathdoc.fr/articles/10.1051/proc/2011012/

Cité par Sources :