Everything San R said. My guess would be water pump. Pretty common, pretty easy. I'm a little mystified as to why it dumps when it is stopped and not while it's running but my guess will be that it is now running a little over hot all the time and your pump is just keeping up but when you turn it off any natural hot spots within the system just can't cope and cause the whole thing to spew.
Start by looking for leaks and then if you can't find one and your car has more than 50K go to a replacement water pump.
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