Ok, I tried making a few stopped flutes which terminate with a taper
using a wedge as discussed in a previous thread. (Suggested by
SonomaProducts)

Here is the result:

http://www.garagewoodworks.com/shop_talk.php

Came out ok. You can definitely see where the taper begins in the
flute (not a completely smooth transition). This can probably be
fixed with a piece of sandpaper or just leaving it alone.