The goal of the review is to acquaint experts in combustion and explos
ion with the method of cellular automata, also called the lattice-gas
method, a comparatively new approach to modeling of gas-dynamic proces
ses. The motion of a continuous medium is modeled directly by calculat
ing the evolution of a special microworld of particles, which move in
a fixed two- or three-dimensional lattice and collide with each other
at the lattice sites. In essence, what is involved is the most simplif
ied version of molecular dynamics. Examples are given of application t
o various problems, including calculation of reacting flows, unstable
problems, and flows in a complex geometry. Possible applications of th
e method in the physics of combustion and explosion are discussed.