The SAT's psychometric test is still the Swissair's one, so it may be correct to call it Swissair test.
It consists of performing up to 5 runs on a aircraft-like machine, called the "Gubsomat" (after its inventor Mr. Gubser). There had been a pretty correct simulation on MS DOS for PCs, but I lost it.
The Gubsomat is a cockpit with 4 or so different instruments, all resembling aircraft instruments, but without units inscription. You have to do "climbs", "descents" and "turns" with a yoke. In a later stage you have to press a foot pedal everytime you fullfill a certain amount of degrees on the instruments. To make things more difficult you see 2 sets of symbols on top of the panel, and perform the correct actions. If that wouldn't be enough you have to do some number crunching and remember them.
If you deviate too much from the intended path, a red lamp starts to blink to confuse you, when it gets more off, you hear an alarm.
It's all pretty brain cracking but it shows if you have a certain degree of stress resistance.
If you do the full Swissair test, it consists of 5 days, first paper and pen, IQ tests, English, handwritten text in German, interviews, medical, the Gubsomat and a real simulator (link trainer).
hth,
Dani