This thesis investigates the modeling and analysis of Rotating Detonation Engines (RDEs), an innovative propulsion technology with potential advantages over conventional engines. The study begins with an introduction to deflagration, detonation, and various RDE configurations, followed by an exploration of detonation cycles. The research employs a comprehensive approach to RDE modeling, encompassing mathematical, thermodynamic, and numerical methodologies. Particular attention is given to balance laws and the application of OpenFOAM solver for computational fluid dynamics simulations. The methodology section details the CFD simulation setup, including mesh generation, boundary conditions, initial conditions, and CPU scaling considerations. A thorough test case analysis is conducted, focusing on standard RDE configurations and stability results.