Geodesic
An asymptotic preserving scheme for P1 model using classical diffusion schemes on unstructured polygonal meshes
Emmanuel Franck1 ; Philippe Hoch1 ; Pierre Navaro2 ; Gérald Samba1
1CEA, DAM, DIF, Bruyères-le-Chatel, F-91297 Arpajon Cedex France
2IRMA, Strasbourg University France
ESAIM. Proceedings, Tome 32 (2011), pp. 56-75
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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 
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     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},
     year = {2011},
     volume = {32},
     doi = {10.1051/proc/2011012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/2011012/}
}
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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

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