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From the article, it seems like what they're doing is equivalent to typical "super-resolution" tasks where you refine a coarse grid into a (consistent) fine one using AI heuristics. This one even has a GAN to make sure the difference between original and super-resolved data isn't easy to spot (which should be possible if the physics was wrong).

This is fine in physics generally, since the initial conditions aren't exact, often you just want some plausible result, rather than the one that corresponds exactly to the exact (microphysical) details of your input.

If someone else wants to actually read the paper and double check, that would be great.