Abstract:
This study presents a physical-mathematical model, computational algorithms, and results of calculations for ignition and detonation in a combustible mixture behind a reflected shock wave. The problem is solved numerically using the Godunov method for two-dimensional unsteady gas dynamics equations coupled with chemical kinetics. Calculations of detonation wave initiation and propagation in a methane-air mixture are performed using a simplified kinetic mechanism for methane combustion. Two propagation regimes are identified: a steady regime with constant velocity and an unsteady oscillatory mode. It is demonstrated that, far from the wall, the average detonation velocity and the key flow parameters behind the wave front can be accurately determined from the solution of a self-similar problem of shock wave reflection from a wall, under the assumptions of frozen flow ahead of the wave and thermodynamic equilibrium behind it.
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