Meanings
upwards movement
auf- + nehmen (“to take, hold”) → aufnehmen (“to pick up”)
change to a different, better state (chiefly with adjectives or verbs from adjectives)
auf- + besser (“better”) + -en → aufbessern (“to improve, supplement”)
amassing
auf- + häufen (“to pile (up)”) → aufhäufen (“to form a pile or stack”)
spontaneous appearance
auf- + lachen (“to laugh”) → auflachen (“to laugh suddenly, bark out a laugh”)
opening
auf- + decken (“to cover”) → aufdecken (“to uncover, reveal”)
putting something in contact with a surface (from above)
auf- + tragen (“to bear, carry”) → auftragen (“to apply”) (e.g. cream or salve)
1 more meanings
finishing
auf- + essen (“to eat”) → aufessen (“to eat up, eat completely”)