The gas-liquid flow field in a stirred tank with a Rushton disk turbine, including the impeller region,was numerically simulated using the improved inner-outer iterative procedure. The characteristic features of the stirred tank, such as gas cavity and accumulation of gas at the two sides of wall baffles, can be captured by the simulation. The simulated results agree well with available experimental data. Since the improved inner-outer iterative algorithm demands no empirical formula and experimental data for the impeller region, and the approach seems generally applicable for simulating gas-liquid stirred tanks.