Numerical simulations of premixed gas flame moving in the presence of inert particles are presented. This paper provides background information concerning the use of numerical methods employed that allow for elucidation of the effect of particles on the structure, dynamics and extinction of a premixed flame evolving in a closed planar channel. The results obtained for zero-gravity and full-gravity are compared. An essential element is a comparison of (suitably defined) burning velocities as obtained using numerical simulation and asymptotic formula obtained previously. In contrast to the zero-gravity case, the full-gravity results display an interesting feature: a flame propagating upward through falling particles may abruptly extinguish provided the particles are large enough.
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