A numerical model has been developed to predict the confined swirling spray-combusting flows. The governing gas phase equations in Eulerian coordinates are solved by a lime-marching multiple pressure-correction procedure based on the operator-splitting technique. The droplet dispersion by turbulence is handled by a stochastic discrete particle-tracking technique. The droplet / wall impingement process is modeled by adopting the jet treatment method and the empirical correlation approach. To appraise the relative performance of turbulence models, computations are carried out by the k-e model and the algebraic stress model. The present numerical results for the swirling spray-combusting flows show qualitative agreement with experimental data. In terms of overall local flow properties, the algebraic stress model improves conformity to the experimental data due to its ability to introduce nonisotropic turbulence effects.