A stretched laminar flamelet model is used to simulate the turbulent combustion in a ram combustor with jet stabilized flames using a 28-step reaction mechanism with 10 species. Favre averaging is employed for the three-dimensional governing equations for continuity, momenta, mixture fraction and the variance of mixture fraction. Turbulence is simulated by a low Reynolds number κ-ϵ. model which is also Favre averaged. The presumed-PDF method is used for the closure of the chemistry. For this purpose a β-pdf is used for the mixture fraction and a log-normal-pdf is used for the modeled scalar dissipation. All other mass averaged thermo-chemical variables are computed off-line after a converged solution has been achieved. Solution of the continuity equation and the three momentum equations is achieved using the SIMPLER algorithm. An incomplete lower upper pre-conditioned conjugate gradient method is used for the solution of the linearized system of equations. Simulation results showing the recirculation zones, distribution of species and temperature are presented.