Turbulent chemical reacting transient flows in the annular combustor were studied by the large-eddy simulation (LES). Three-dimensional body-fitted grid was generated by an elliptical grid generation procedure. In the large-eddy simulation, the k-equation sub-grid scale model was used to simulate the sub-grid eddy viscosity. The EBU combustion sub-grid scale model was employed to determine the chemical reaction rate. The heat flux model was applied to prediction of the heat flux. SIMPLE algorithm and hybrid scheme were used. Wall function was applied to treating near wall region. Comparisons between simulation results and measurements show the large-eddy simulation method with body-fitted grid may be used to investigate chemical reacting flows and combustion process in combustors.