Courtesy of BananaDoc, I can show you some great new photos from the Batman v Superman set being built in Corktown, Detroit.
We can see that these large painted chunks of Styrofoam are being made to look like pieces from buildings and pavements (notice the rods sticking out of the "concrete"), and the supports are designed to keep them at an angle, as though they have just been smashed from a building or up out from the sidewalk.
BananaDoc speculates about the level of destruction that we will see in this scene:
...now it looks more like they are destined to be pieces of the building that have crashed to the ground after some kind of superhero-induced disaster. Similarly the large pieces of styrofoam are in the process of being painted gray to look like large pieces of concrete, torn up pavement, and other disaster-debris.
What does this mean for the movie? Well, there is never any doubt that we will see some big fight scenes, with plenty of city destruction; that's a staple of every superhero movie! But Batman and Superman aren't usually big destruction types - at least not on this scale! These look like buildings have been torn down and sidewalks torn up. Superman certainly has the strength, so is this his doing? Or could it be new weaponry belonging to the Dark Knight?
To me, this looks more like the work of a separate character, our villain perhaps. Something oversized, along Hulk lines (although obviously not the Hulk! Just something with a similar size and tendency to rip buildings apart with his/her bare hands), or maybe a flying vehicle of some sort, crashing into buildings and pavements.
Those are pretty huge chunks of building to come down courtesy of a Batman/Superman stand-off, in any case!
It sounds like the set is being kept on a tight leash to avoid leaks, but if you happen to be in the Detroit area, a list of filming locations has also been released, so you can go see more for yourself.