Fire is an extremely complex phenomenon that is responsible for loss of human life and considerable property and environmental damages every year around the world. Significant progress during the last few decades in modeling of pool, compartment (enclosure), urban and outdoor (i.e., forest and woodland) fires has manifested in improved understanding of fire phenomenology, fire-safety regulations and fire-fighting techniques. Recent research efforts to develop numerical CFD (computational fluid dynamics) models for simulating fire phenomena from first principles are discussed. Since both thermal and oxygen-limited feedback processes can affect fire dynamics, quantitative description of fire development requires understanding of materials, turbulence, chemical kinetics, heat and mass transfer, radiation, and other important physical processes. Focus in the discussion is on radiative transfer (one of the most complex and time consuming process) in numerical simulation of large pool, compartment, urban and outdoor fires. The overview discusses current trends and identifies the outstanding problems requiring research attention.