A simulation with a “cellular automaton” for turbulent combustion modelling

The modeling of turbulent combustion is a crucial problem for the numerical simulation of flames and combustion chambers. An important point in this respect is the relevance of k 1/2 / u L (the square root of turbulence kinetic energy divided by the laminar flame speed) as a parameter to the mean reaction rate for premixed turbulent flames. In order to get more insight to this problem, we have built a special simulation method, of the type of a “cellular automaton,” which includes all the physical phenomena that are thought to be important. The result of several statistical simulations gives a new closure formula that can be included in classical turbulent combustion models; it takes explicitly into account k 1/2 / u L , which plays a role in the so called “wrinkled flame” regime only.