Turbulence-radiation interactions (TRI) are important and must be considered in many combustion applications. A phton Monte Carlo method combined with a composition PDF method is employed to model radiative heat transfer in such applications. TRI can be fully taken into account using the proposed method. Sandia's Flame D and artificial flames derived from it are simulated and good agreement with experimental data is found. The effects of different TRI components are investigated. It is shown that, to predict the radiation field accurately, emission TRI must be taken into account, while, as expected, absorption TRI is negligible in the considered nonluminous jet flames if the total radiation quantities are concerned, but non-negligible for evaluation of local quantities.