Modern, taller, wind turbines can now interact with the geostrophic layers of the atmosphere, triggering the formation of gravity waves. However, there remains limited understanding of how these waves interact with flows at the turbine scale. Using Large Eddy Simulations (LES) of a wind turbine represented by an actuator line model, the impact of turbine generated gravity waves on the wake dynamics, blade loading and power production was investigated. The waves were found to induce a sinusoidal variation in wake width in both the vertical and horizontal directions. Wake recovery was observed to be non-monotonic, with an inverse relationship between the peaks and troughs in velocity deficit and the waves aloft. An evaluation of the turbulent and mean energy budget terms of the turbine wake showed the gravity waves had relatively little impact on the instantaneous flow. The effect of turbine lateral spacing was also investigated by varying the domain width. The strength of the waves triggered, and consequently the wave induced wake variations, was found to be negatively correlated with the lateral spacing. Furthermore, a wave-induced upstream deceleration was observed in all cases. The magnitude of the deceleration decreased with wave strength, with both the wave strength and deceleration asymptotically approaching non-zero values as lateral spacing increased. The simulations in this work demonstrate that waves can be initiated despite only modelling one turbine, offering a lower computational cost methodology for investigating gravity waves. This approach also suggests that relatively small clusters of turbines may be capable of triggering gravity waves, rather than just the large wind farms of 100+ turbines which have been commonly the focus of previous gravity wave research. Finally, simulations with turbulent and uniform inflows showed good agreement in the gravity waves produced and the resulting wave-induced flow variations. The consistency between the inflow cases, further supports the gravity waves and their impacts being relatively independent of the instantaneous variations in the turbine-scale flow field.