I see lots of info in the thread on how to not use wet wood, so here is a little input on how to have a fire with it.
Having been raised and spent many weekends in my teens camping on the North Coast of BC (100inchs of rain a year") you learn how to have a fire with wet wood or stay cold and wet.
Split all the wet wood rounds into at least 6 pieces. You want the wood smaller rather than bigger.
Start with as much dry small stuff as you can get. Get a small hot fire going with this and build up a good bed of coals. Nowadays a fire log is a good way to get it going and saves time.
Once you have a good small fire going use the log cabin method to add fire wood on top/around your fire. Think walls with floors every seocnd layer. The trick it to keep space between each piece/layer of wood. Once this wood starts burning, keep the pile of wood on top the fire as big as is practical. This help preheat/dry the wood at the top so as it works its way down to the flames/bottom it is heated and dryer and will burn better.
This also helps reduce smoke but smokie fires with wet wood is just the way it is. I have never heard of the OSB squares on top of the fire to reduce smoke. I will have to try that one out.
Hope this helps a little.
Edit/side note: The other thing we learn young is how to string up big blue tarps to stay dry and withstand wind. I always have at least three tarps and a few hundred feet of halilbut line or 5/16 line to tie them up with. Have one tarp just for stringing up high over a fire so you can stand around in the rain and keep dry. Thats camping on the North Coast :)