An asymptotic preserving scheme for P1 model using classical diffusion schemes on unstructured polygonal meshes

Franck, Emmanuel, et al. Cancès, E., et al, eds. "An asymptotic preserving scheme for P1 model using classical diffusion schemes on unstructured polygonal meshes." ESAIM: Proceedings 32 (2011): 56-75. <http://eudml.org/doc/251258>.

@article{Franck2011,
abstract = {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.},
author = {Franck, Emmanuel, Hoch, Philippe, Navaro, Pierre, Samba, Gérald},
editor = {Cancès, E., Crouseilles, N., Guillard, H., Nkonga, B., Sonnendrücker, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {11},
pages = {56-75},
publisher = {EDP Sciences},
title = {An asymptotic preserving scheme for P1 model using classical diffusion schemes on unstructured polygonal meshes},
url = {http://eudml.org/doc/251258},
volume = {32},
year = {2011},
}

TY - JOUR
AU - Franck, Emmanuel
AU - Hoch, Philippe
AU - Navaro, Pierre
AU - Samba, Gérald
AU - Cancès, E.
AU - Crouseilles, N.
AU - Guillard, H.
AU - Nkonga, B.
AU - Sonnendrücker, E.
TI - An asymptotic preserving scheme for P1 model using classical diffusion schemes on unstructured polygonal meshes
JO - ESAIM: Proceedings
DA - 2011/11//
PB - EDP Sciences
VL - 32
SP - 56
EP - 75
AB - 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.
LA - eng
UR - http://eudml.org/doc/251258
ER -