show up vs turn up

show up and turn up both are verbs.

Word	Noun	Adjective	Verb	Adverb
show up	No	No	Yes	No
turn up	No	No	Yes	No

As verbs, show up and turn up are synonyms defined as:

Other synonyms of show up include come on, come out, surface.

show up (verb)	turn up (verb)
appear or become visible; make a showing	appear or become visible; make a showing
be or become visible or noticeable	bend or lay so that one part covers the other
	find by digging in the ground
	discover the location of; determine the place of; find by searching or examining
	be shown or be found to be