flash through somebody's mind
flash through somebody's head
flash through somebody's brain
go through somebody's mind
run through somebody's mind

There was no way to share with him the thought that had suddenly flashed through her mind.

Images from that night seven years before flashed through my mind.

"I hope nothing serious has happened," was the thought that flashed through Tom's mind.

Then, what he wanted to say flashed through his mind.

All of these thoughts flashed through David's mind in a second.

The question hardly had time to flash through his mind before the thing was upon him.

All those things flash through his mind in ten seconds.

The name flashed through her mind but went no further.

It flashed through his mind not to open the door - let them break in.

And then a hot, electric idea flashed through her mind.