Mathematical models for investigating the formation and propagation of hybrid combustion waves in the stationary layer of a catalyst are developed. In spherical and cylindrical symmetry reactors, the linear velocity of a flow is a radial variable. Therefore, the heat and mass transfer coefficients and the heat conductivity coefficient of the charge, which vary with the reactor radius, are taken into account in the mathematical model. The nonlinear dependence of the heat conductivity coefficient on reemission is also taken into account.

To numerically calculate these regimes a special algorithm with an adaptive space-time grid in the gas-phase combustion zone is developed. The proposed algorithm allows us to effectively carry out the numerical investigation of the dynamical characteristics of hybrid waves in the combustion zone.

We simulate the process of reaching the stationary mode in a spherical reactor and obtain the dependence of the position of the standing wave on the gas flow rate.