If possible, try adjusting your body to the time zone you'll be visiting over the 2 or 3 days prior to the trip. Go to sleep at bedtime Europe time and set the alarm for wakeup Europe time. This is usually do-able if you're leaving on a Monday.
Also, as soon as the plane leaves the gate to taxi, adjust your watch to your European time zone and behave accordingly. Eat, sleep (or at least try to), wake up, etc., at the hours you normally would, but on the new time zone.