From Longman Dictionary of Contemporary Englishdamp something ↔ down phrasal verbBURNto make a fire burn more slowly, often by covering it with ash → damp→ See Verb table
Examples from the Corpus
damp down• Sandra: I turned a tap on and damped it down.• Then, as he climbed higher, a thick, damp mist came down and covered everything.• The damp retreated down the walls, the gardens came back to life and there was fresh food in the kitchen.