Best way to avoid jet lag: take a boat instead of a plane. They change the clocks one hour each night, and you arrive already on time, with no jet lag.
Since that's not actually an option, I agree with the advice to stay up all day. Make sure you get exercise--walk around outside in natural light. Avoid too much caffeine and alcohol.
Where I differ is, if you find your inner clock hard to reset (like when the time changes in the spring and fall), go inside when it gets to be dusk, do something calm and quiet for a while, and then go to bed as soon as you feel sleepy. I find that I can stay up on the new time, but my clock wakes me up on the old time, so I get pretty much no sleep at all. Going to bed early evening can help you catch up on the sleep you missed while flying overnight, so you feel better the next day, even if you do wake up early.