In the present study a patched grid method is employed to compute the reacting flows of a wedge in a dud and a two–ring flome stabilizer. A previously developed calculation procedure is used, together with the eddy–breakup combustion model. The computed results of the wedge flow compare favorably with the available experimental data. For the two–ring flame stabilizer flaws, as in the nonreacting cases, staggering the distance between the two rings can change the flow pattern, ft is demonstrated that the zonal grid method is a useful approach in simulating both the reacting and nonreacting flame stabilizer flows in a complex geometry.