Localization of combustion in a periodic velocity field

A direct numerical simulation of combustion-front propagation in a specifie d periodic velocity field of a medium was performed within the framework of a two-dimensional thermal diffusion formulation. The calculations showed t hat as the velocity amplitude is increased, the flame front separates into discrete burning segments, i.e., spatial localization of the combustion tak es place. Only when beat losses are introduced into the model, flame quench ing is observed at a certain amplitude of the medium's velocity The level o f heat losses required to extinguish the combustion becomes lower with incr ease hn the amplitude of velocity perturbations. On the whole, the obtained numerical results agree with results of an asymptotic analysis.