Simulation of the filtrating gas combustion processes in non-homogeneous porous media

A one-dimensional two-temperature model of a combustion front moving with filtration of a fuel gaseous mixture in chemically inert porous media with discontinuous thermo-physical parameters is numerically investigated. From the algorithmic stand point we deal with the new applications of two-level explicit and semi-implicit difference schemes with moving adaptive meshes. From the stand point of physical features of the processes under consideration, the main attention is given to aspects of stabilization of the combustion front, which is important in some technical applications.