The old timers say to stack your wood with spaces in between each piece, so a squirrel can run through it, but the cat chasing it can't.
What I believe to be true, is that unless you live somewhere like Seatle, where it rains constantly, leaving your wood open to the exposure, including rain, makes for the fastest curing time.
You see, the rain soaks the wood which causes swelling and pore expansion then the rain is quickly evaporated shortly after it rains, leaving more open pores to dry the inner portions of wood.
Not covering it also allows hot sun to shine on the wood, that also helps the cycle, not to mention, open areas allow more air movement.
Once your wood is dry the way you like it, cover it up to retain the remaining moisture so it doesn't get too dry, and keep the snow off.