Sounds like rainwater is getting in a and pooling somewhere. Do you have a sunroof? The sunroofs have a drain hose that runs down the side of the windshield to drain any water that gets in the channel. If it came loose, the water may be pooling somewhere and leaking out on hard turns.
Not sure if it's the same on your generation but my 87 always leaked there when it poured...thought it was the window gasket...turned out it was the rubber gasket for the radio antenna on the passenger fender - there was none (aftermarket antenna)!
I found this out after someone snapped off my aftermarket antenna and I had to replace with OEM
The water sounds like it is being pushed out with alot of pressure and not leaking. I have also noticed that there is never any water pool underneath after using the a/c.
Is there a hose under the dash that could either have a hole or come off?
What was the result of the water coming from under the passenger dash? I have the same issue. I know for a fact that the water is coming from the A/C. Not from antenna, windshield, sunroof. Was it a hose? What was the issue? And how was it fixed?