I didn't downvote you, I'm not part of that select club.
It is funny that you say "you run fast enough to make wind blow" and then you fly, because at a very simplistic level, that is exactly what is happening.
Making the wind "blow" (and not necessarily under the wing only, mind you) implies a change in velocity, which can only be the result of a change in momentum imparted by a force (the force of the wing on the air). By Newton's third law this generates a reaction force and then you get your "poof flying" moment :)
You really should read the content I mentioned, it kinda is explained all in there.
Not a downvoter, and I haven't looked at the parent comment's reference recently, but any explanation that doesn't involve forcing a parcel of air down in order to generate a force on the aircraft up probably isn't useful.
Edit: Instead of downvoting, how about an explanation as to why this is not a layman's interpretation of the parent comment?