Throughout the movie, everytime some type of casualty occurs or an alarm sounds, police type lights go off throughout the ship. Submarines don't have flashing lights or grated decks for that matter throughout the ship. The sound of the alarm is enough, since there are no deaf personnel on board a submarine.
I just saw the movie Crash Dive 2 (which is also about submarines and also involves an enemy Akula-class sub) and it has many recycled scenes from Crimson Tide. To name a few: the scene where the sub does a "snap shot" of two torpedoes, the scene of the Akula being hit, and the scene where a torpedo barely misses the heroes' sub.