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

Emmanuel FranckPhilippe HochPierre NavaroGérald Samba — 2011

ESAIM: Proceedings

A new scheme for discretizing the 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 system.

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