A computer code has been developed to simulate the turbulent combustion flowfield of an axisymmetric swirling flow in a typical combustor. Fuel enters centrally through a round cross-sectioned inlet while air enters through a concentric annular injet. Combustion flowfield predictions are given to illustrate the reacting flowfield prediction with color graphic interpretation of the results. One, two and four-step chemical schemes are used for the combustion simulation based on Arrhenius and Eddy-Break-Up concepts. Turbulence simulation is by way of the standard two-equation k-e model. Results compare favorably with available experimental data, and are easily interpreted via a newly-developed combustor flowfield color display.