"Gas-film" convective detonation in a rigid porous medium is considered. Th
e motion of the gas phase is described by a discrete stochastic lattice gas
model taking into account the real laws of friction and heat exchange betw
een the phases. The reaction kinetics was specified so that the characteris
tic time of combustion corresponded to experiment. The model simulates the
main characteristics of the phenomenon: a non-flat (irregular) wave front,
smooth increase in the pressure averaged over the charge cross section, fri
ction-dominated mean flow, slow cooling of combustion products after comple
tion of the reaction.