The paper is devoted to the numerical modeling of detonation initiation in the "multifocused" system - the flat channel with the profiled end-wall. Mathematical model is based on two-dimensional Euler equations supplemented by one-stage chemical kinetics model for the detonation of hydrogen-oxygen mixture under the low pressure. The specific feature of the numerical algorithm of the second approximation order is the usage of fully unstructured computational grids with the triangular cells. The mechanism of detonation initiation by the incident shock wave with the Mach number 2.58 in case of one elliptical reflector is described.
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