It has been asked many times, that the tournaments would start their next round before every game is finished, and it has always been answered that it would consume to much resources to calculate every tournament at every hour.
How about something like a way for the creator or any player could manually submit an "unfinished" tournament or section to that calculation (maybe limited to once a day/per tournament, so it would prevent a player from forcing the system to calculate the tournaments positions recursively, making the system near a crash). There would still be the need that the system could calculate the maximum number of points a player could still get, but I don't think anyone would try it (specially if it was independent for each section), if most of the games wouldn't be already finished and the final positions were almost obvious (or at least the winner of the section)

Hope it's not to confusing