I wonder to know if there is a phrasal verb as" add to (something) with (something)" regarding to the sentence below?
Overall, we add to the body of knowledge in the field o f distributed agile, with an additional field study where we describe and compare the migration from RUP to Scrum, and the implications of this transition.
Could I summarize this phrase into: We add to an additional field study to the body of knowledge?
No, that is the simply verb "add". You add one thing to another.
Your sentences don't make sense. The original means, "We add an additional field study to the body of knowledge."