The exhaust smoke-superstructure interaction for a generic frigate is investigated numerically. The frigate was driven by a CODOG system. The k-epsilon model is adopted for turbulent closure, and the governing equations in three dimensions are solved using a finite volume technique. The computations were performed for different yaw angles, efflux velocities and temperatures of the exhaust smoke. The cases with diesel engines and gas turbines are considered. The calculated streamlines, temperature contours and smoke concentrations are presented and discussed. Furthermore, the detailed predictions are compared with the available experimental measurements. A good agreement between the predictions and experiments is obtained. The study has demonstrated that computational fluid dynamics is a powerful tool to study the problem of exhaust smoke-superstructure interaction on ships.