  In this paper we propose an asymptotic preserving scheme for a family of
Friedrichs systems on unstructured meshes based on a decomposition between the
hyperbolic heat equation and a linear hyperbolic which not involved in the di
usive regime. For the hyperbolic heat equation we use asymptotic preserving
schemes recently designed previously. To discretize the second part we use
classical Rusanov or upwind schemes. To nish we apply this method for the
discretization of the PN and SN models which are widely used in transport
codes.
