Factual error: The old Sky News logo is used in the film, as shown in a broadcast.
Factual error: When the Scottish scientist calls Hall, he tells him that the freezing temperature of fuel is -150° Fahrenheit. This isn't true, Jet A1, which is the type of fuel in such kind of choppers freezes at -52.6° Fahrenheit. The scientist says that he had to look it up, so he should have the correct figures and as this figure is quite important to estimate the temperature in the eye of the storm, he wouldn't mix it up.
Factual error: It is not feasible for a flood to stop the flow of warm air for the northern hemisphere and make it as cold as it did in the movie. The air moves far too fast for anything to stop the flow of warm air in the northern hemisphere.
Suggested correction: As already corrected, just because we can't see an outlet for the smoke doesn't mean there isn't one. White smoke against white snow is very hard to see.
Nik Rolls
But they were still burning the books, which meant the smoke should be black, if they stop burning the books, the smoke would have been white, which isn't the case in the movie.
Just looked at a boatload of videos of burning books, including one in a fireplace, and the smoke was indeed white.