Brain Storm - A Percy Jackson and Supergirl Crossover

Things were just starting to get back to normal for Annabeth and the other demigods after the war with Gaea. Normal for a demigod that is. But that is all disrupted when blueish-gray portal thingies start popping up for no reason and swallow Annabeth, taking her to National City where she meets Supergirl. While they're trying to figure out a way to send Annabeth home, a new, unknown threat arises. Maybe Annabeth's visit to National City wasn't an accident. Maybe, there's something big behind all of this. Maybe, there is a new villain on the rise.
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Disclaimer: I own nothing, just the plot.