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Abstract: Our contribution consists of the demonstration of the advantages of LES-WALE coupled with PDF approach including progress variable (c) in reacting flow, by using the Fluent-CFD. The confirmation is based on the comparison of three parameters: mean longitudinal velocity, intensity of longitudinal velocity and lengths of recirculations zones. In line with what was observed by the experimental reference study, the simulation succeeds to detect the flame zone of the recirculating region and shows the differences between the different cases of flows in variable equivalence ratio (Φ=0.60 and 0.75) or in variable mass flow rate (Q= 65 and 195g/s). All cases of study considered the identical conditions from the tow supply channels of the burner. The main issue is the modeling of the closure of the turbulent combustion. In addition, the numerical simulation predicts as well as the asymmetry and the symmetry flow, respectively, for inert and reacting flows. [Copyright &y& Elsevier]