Everyone seems to be assuming that you have a big fan which actually changes the air flow in the whole room in a major way. If that's the case, great, put it any way you like - it doesn't matter.

For people like me, who use a cheap fan in the summer. Put it in front of you facing towards you. You will feel cooler.

If you are still interested in CFD I can give you a hand, but this is answer we are going to get from it anyway.