The Centre Lawn Building opened in 1924 housing 300 patients in what was originally the Acute Psychopathic Wing. Closed down in July of 2012 making it the last operational wing of the hospital.
Barry, Oliver, and Kara plan their search for Dr. Deegan and are joined by Caitlin, Cisco, and Diggle who tell them about the message from Earth-90 in episode 7x09 “Elseworlds, Part 2”.
A new soul is transferred into Agent Weedle's body in episode 1x04 “Watkin”. The two detectives find a pile of bodies in the building in episode 1x05 “Very Erectus”. Dirk and Todd are taken to be interrogated by Gordon Rimmer in episode 1x06 “Fix Everything”.
Russell is dropped off at the mutant facility and later Wade accompanies Negasonic Teenage Warhead and Colossus to try to deescalate the situation with Russell.
Kate fights off several members of Alice's gang but is eventually captured and brought before Alice herself in pilot episode.
Hospital (exterior)
Alice kills a Crows Security guard and steal his uniform in episode 1x12 “Take Your Choice”.
Arkham Asylum (exterior)
A linen van is stopped at the gate and the guards discover a fake bomb strapped underneath in episode 1x16 “Through the Looking-Glass”. Marquis holds a press conference in front of the asylum dissing Batwoman and announcing his investment in Arkham in episode 3x11 “Broken Toys”.