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

A new scheme for discretizing the P 1 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 P 1 system.