Urgh! Please don't use those horrible warm advection/cold advection ideas that plague meteorology these days!
It's just a overly complex way of describing the mean structure of a mid latitude cyclone. A lot of meteorologists use this type of technobabble to make things more complicated than they actually are and themselves seem more clever. A lot of the (US) national weather service guys use it in their forecasts to attribute developments if I ask them to explain physically they scrabble around for about fifteen minutes and then give up.
Gareth.
P.S. I better add I work in weather research and in collaboration with students and forecasters this has been become a regular pet peeve!