I had a tour of the USS Nimitz in the '70s when she was anchored in Spithead.
I recall being shown the lower hangar deck which had an engine running bay at the aft end where jets could do runs without affecting flight ops. There were shutter doors to open at the back and side and shut off the rest of the hangar.
I think an F14 or F18 at full re-heat should help the ship along, but with two neuclear reactors I doubt it needs any help.