dFrom practical and theoretical standpoints, the initiation of combustion i
n gaseous media due to the shock waves focusing process at various reflecto
rs is a subject of much current interest. The complex gas flowfield coupled
with chemical kinetics provides a wide spectrum of possible regimes of com
bustion, such as fast flames: deflagration, detonation etc. Shock wave refl
ection at concave surfaces or wedges causes converging of the flow and prod
uces local zones with extremely high pressures and temperatures. The presen
t work deals with the initiation of detonation due to shock waves focusing
at parabolic and wedge reflectors. Particular attention has been given to t
he determination of the critical values of the incident shock wave (ISW) Ma
ch number, parameters of the combustible mixture, and geometrical sizes of
reflector at which different combustion regimes could be generated.