Here is the info for parking on for City Meet (from GKAISA's website).

Parking will be allowed in the parking garage across from the Allan Jones Intercollegiate Aquatic Center. The parking fee for the garage is $5 per vehicle upon each entry. If a vehicle leaves and returns the same date, an additional $5 fee will be charged. Parking fees go to UT- - not GKAISA. Free parking will be available at the Metron/Kingston Building next to Tyson Park (2309 Kingston Pike.) It is approximately one mile from the AJIAC. Shuttle service will NOT be provided between the pool and parking area at the Metron.  

No traffic will be allowed on UT Drive between the Student Aquatic Center and the Allan Jones Intercollegiate Aquatic Center. Drop-off and Unloading will only be allowed in the right lane of Andy Holt Avenue in front of the Student Aquatic Center (SAC). NO PARKING or leaving an automobile will be permitted there at any time during the meet. 

ABSOLUTELY NO UNLOADING in front of the Allan Jones Intercollegiate Aquatic Center. The street is not wide enough, and officers WILL WRITE TICKETS to persons who block traffic by stopping there. Police officers will be present to direct traffic and ensure everyone’s safety

My note...You are also able to park in the spots on the streets around the campus area.  If you park in a metered spot, you will need to pay the meters on Thursday and Friday.  I'm pretty sure they are free on Saturday.

Allison