In this paper, the turbulent jet diffusion flame stabilized behind a bluff body (HM1) is simulated using the Flamelet Generated Manifold (FGM) model. Interactions between turbulence and chemistry are detailed in this paper. In HM1 flame, ignition mainly occurs in the outer shear layer while mixing effects dominate in the recirculation zone. Turbulence is modeled by using variants of two-equation Reynolds Averaged Navier Stokes (RANS) models (steady and unsteady RANS), whilst turbulence-chemistry closure is based on FGM approach. Results are compared with experimental data to validate the dynamics and spatial structure of bluff-body flames. Different approaches based on the variants of steady RANS and unsteady RANS are compared for three mesh resolutions. Definitive advantages and disadvantages of each approach are identified on the basis of computational cost and accuracy. The results provide important insights into the simulation of bluff-body flames approaching the blow-off limit.