A dictionary random choice method for turbulent combustion

A random numerical method is used to study turbulent combustion phenomena. A hybrid random vortex method is used for solving the Navier-Stokes equations which govern the fluid motion. We consider a two-step chemical reaction in the combustion process, which is governed by a reaction-diffusion system for the conservation of energy and for the chemical species participating in the reaction. A random choice method with a dictionary approach is used for modeling the reaction-diffusion equations. The method is applied to a pre-mixed gas past a heated circular cylinder. The numerical results for both hydrodynamics and flame propagation are obtained and have good agreement with experimental observations.