A hybrid adaptive gridding procedure is applied to the computation of two-dimensional, turbulent, recirculating flows. The procedure combines both the local refinement method and the global moving grid method. The moving grid method is applied to obtain the initial adaptive solution. The local refinement method is then used on the targe error regions flagged by using the weight function approach. The test cases are a backward facing step flow, a two-dimensional side jet flow, and an axisymmetric swirling flow. By comparing with the fine uniform grid solution, the numerical efficiencies ranging from 20 to 40 are obtained in these test problems. The most attractive feature of the procedure is its ease of application.