Hybrid Mixed Discretization Methods for Combustion Problems in Porous Media

This paper presents numerical methods for the simulation of combustion processes in porous media. The equations governing the ow in the porous medium are discretized by the mixed nite element method on Raviart{Thomas elements of lowest order. Hybridization is applied to transform the resulting equations into a form more convenient for the solution by multigrid methods. Special emphasis is put on the elimination of the mass ux values which requires the solution of local nonlinear subsystems. For the discretization of the species and energy conservation equations a cell-centered nite volume scheme is used. Some results of numerical simulations demonstrate the innuence, which layers of diierent porosity of the solid matrix can have on the localization of the combustion zone.