AirflowNetwork for multizone controlled by single zone

I am trying to model the temperature distribution in a building with three glass walls. I have split the space into 4 perimeter and 1 central zone. Zone 1 (east facing parrimeter zone) is equipt with a zone evaporative cooler and zone 3 (west facing perimeter zone) contains a zone exaust fan. Is there a way to model the air flow between these zones using an airflow network? I have included opperable widows between each zone and referenced them in the AirflowNetwork:MultiZone:Surface, AirflowNetwork:MultiZone:Component:HorizontalOpening and AirflowNetwork:MultiZone:Component:SimpleOpening. Except for zone 1 (which contains the evaporative cooler), there is no change in air temperature when mechanical systems are on vs. off. Thank you

Without an input file to look at it is difficult to determine if there is an issue or not, but here are a couple of things to check:

Double check that your AirflowNetwork:SimulationControl object is set up properly. It sounds like the simulation you want would have the "AirflowNetwork Control" field set to MultizoneWithoutDistribution, but I can't be sure. Make sure all those fields make sense in your case.
Add output variables for the flow rate between zones along your network linkages to see if you have flow through your windows, etc. If those come up as zero, then something fundamental is going wrong.

I am puzzled as to why you are including horizontal openings in the situation that you have described. Those should be used for penetrations in floors or ceilings, not "regular" windows. It still might work, but you'd be better off going with one of the other openings if you are modeling a window-like opening in a wall.