Examples of numeric modeling of complex combustion processes in supersonic flows are presented which illustrate the possibility of obtaining useful information which may reveal their basic regularities determined by the parameters of the entrance streams, mode of injection, type of fuel, and the interaction of various factors pertaining to combustion. Hydrogen combustion was used in the analysis. Peculiar results are presented on numerical modeling in situations where the kinetics of the exothermal reactions were subject to limitations imposed by the hydrodynamic conditions, and where the development of the motion of a continuous medium was part of the combustion process. The discovery of small supersonic velocities in the reverse flow in the recirculation zone, confirmed by the presence of static pressure distributions, was noted and studied.