A flag 'flies' in front of the building. = There is a flag 'flying' in front of the building.
The restaurant 'made a flying start' by filling up on opening night.
After some difficult years, the company is 'flying high' again.
(..) Great friend, there is something you should know. -Nay! There is nothing I should know. You are Beowulf! Beowulf the mighty, the hero! The slayer and destroyer of demons. Now let's kill this flying devil when he sleeps, and go on with our bloody lives. Do you want me to go in with you? Good. (..)2007 Beowulf