The optimization of supersonic turbines is a rapidly evolving field of research whose main objectives are improving the performance of the turbine and increasing the life of the machine. Achieving these goals becomes even more challenging when high-energy working fluids are used, as in the rocket industry. This project focuses on the aerodynamic design and numerical analysis of supersonic turbines, encompassing turbine mean-line design, design of vane and blade profiles, culminating in computational fluid dynamics simulations of the blade passages. The project aims at investigating the impact of design parameters on the flow structure of supersonic turbines, as well as on the reliability of isolated stator calculations -very widespread for stator shape optimization- compared to coupled stator-rotor calculations.