Re-entry capsules are blunt bodies and, as such, tend to exhibit dynamic instability, especially in the low-supersonic to transonic regime. The amplification of the capsule’s oscillatory motion becomes critical in missions requiring parachute deployment at low altitude and low Mach numbers. To design such vehicles effectively, a thorough understanding of their aerodynamic stability characteristics is essential. At present, experimental techniques remain the most reliable approach for assessing dynamic stability; however, combining experimental data with numerical simulations offers significant potential. Developing a validated numerical methodology can provide a powerful, flexible, and cost-effective complement to wind tunnel testing. CFD simulations not only minimize the need for expensive physical models and extensive test campaigns, but also provide full-field data, enabling the exploration of a wide range of flow conditions and geometries.