The present study details the inclusion of radiative heat transfer phenomena in the numerical simulation of reactive hypersonic and atmospheric reentry flows. Truly two-dimensional algorithms are developed for the radiative source term in the governing equations, whereby the determination of the specific intensity field is obtained by means of a numerical integration over directions of propagation of radiation. The one-dimensional Slab approximation is lifted, and the analysis presented allows the determination of the radiative characteristics of the entire flowfield, rather than being limited to the stagnation streamline, thereby providing the potential for an accurate assessment of two-dimensional relieving effects throughout the flowfield. A few preliminary results are presented for the Mach 47 flow over a cylinder and a sphere, including a comparison of the two-dimensional algorithms with the one-dimensional approximation and an emission-dominated-case. The effects of improving the modeling of radiative heat transfer are demonstrated. The present approach can be easily extended to three-dimensional problems. © 1995.