I have never draw filed a swamped barrel, but figure that it is likely the same as any other except that you follow the swamped area without trying to reshape it.
Read up on the use of a mill file. This is an expensive file, but is the correct tool because it is wide, stable and has teeth which are well suited to giving a clean finish. Yes, other files can be made to work. Chalk is needed to keep the teeth of the file from clogging and a file card (sort of a wire brush with short wires) is needed for frequent cleaning so as not to scratch the work area with metal that does get caught in the teeth. The stroke is in only one direction and across the flat at a 90. The stroke is not hard, but not exactly gentle either. It is a learned feel.
Be careful to use an even and steady stroke so as not to round the edges.
Of course some use a piece of wood and sandpaper.
CS