2008 , Volume 13, № 1, p.88-98

System of equations for an ideal non viscous gas and the kinetic equation in an integral form were used for investigation of an axially symmetric detonation in gas mixes. For numerical simulation of this flows the $TVD$ Harten's scheme of second order of accuracy was used. Calculation grids where constructed on the basis of the Thompson algorithm. Two problems of engineering importance were calculated, namely, flows arising during an ignition of the pulsing detonation engine and the detonation process arising under the containment of a nuclear reactor. Chapman-Juguet wave propagation was calculated as a test problem.