Algorithm to refine a finite volume mesh admissble for parabolic problems

International audienceWe present a simple algorithm to refine a finite volume bidimensional mesh admissible to solve elliptic or parabolic partial differential equations. The approximation of the Laplace operator reduces to the one of the normal fluxes along the edges of control volumes. These normal fluxes can be computed in a consistent way by a classical two points flux approximation simple if the mesh is admissible in the finite volume sense. The originality of the mesh refinement technique that we propose, is to preserve the admissibility property of the meshes. Therefore it can be used in a wide classic context