In order to get the trigger to fire you have to perform the DML that calls the trigger, e.g. I understand in your case perform an update. One option to consider is to perform an update that doesn't actually change anything. I must admit I've never tried this but it would be the first thing I would try (in a test instance of course)
Update [table]
set [column_1] = [column_1]
Alternately you might consider directly calling the function in an update statement. Either disable the trigger when doing this or accept that there will be about twice the work done as actually required.
update [table]
set [column to change] = [function call]
Test both options first in a test instance or (not recommended approach) by copying the table (structure and data) and trigger to a new table and perform the action on the new table first.