In this paper, Large Eddy Simulation (LES) and G-equation model based on flamelet concept are demonstrated in axially staged annular combustor of gas turbine engine. G-equation model is extended for combustion in a non-uniform equivalence ratio of premixed gas. Using this model, the simulations of the flame propagation are executed with different spatial distribution of the equivalence ratios. In order to compare the results, experiments for combustion and non-combustion flows in the modeled combustor are also performed. The flow field can be predicted by LES and be agreed with the experimental results essentially. The flame propagating behaviors depending on the equivalence ratios are represented by the extended G-equation model.

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