Abstract: Turbulent flows in cavities play an important role in the generation of cavity noise and are inevitably modulated by moving doors. This paper proposes a dynamic hierarchical overset method and integrates it into Improved Delayed Detached-Eddy Simulations to characterize the impact of non-stationary doors on cavity flows. The numerical methods, validated using a canonical cavity (M219), are applied to simulate subsonic (Ma = 0.6) flow fileds in cavities (C201) without doors, with stationary doors (with opening angles of 30°, 60°, 90°, and 120°), and with moving doors. Turbulence statistics and cavity noise in a statistically unsteady flow induced by moving doors are analyzed using the Empirical Mode Decomposition. For stationary doors with an opening angle of 30°, cavity flow is constrained in the cross-flow directions, suppressing the mixture between flows inside and outside the cavity. This results in a lower Overall Sound Pressure Level (OASPL) by 5～8 dB compared to the one in a cavity without doors and the frequency of the second Rossiter mode becomes higher, while the trend exhibits similar changes. In contrast, when the opening angles of stationary doors are larger (≥60°), shear layers over cavities are further away from the cavity floor than those in cases with smaller opening angles. The noise propagation is restricted in the spanwise direction, yielding higher OASPL (by 3～10 dB) at the cavity floor and amplified second Rossiter mode. OASPL for cavities with the opening of doors is comparable to those in a clean cavity. However, when the opening angle of moving doors is around 90°, the distribution of OASPL is similar to that in a cavity with stationary vertical doors.