put (on); work away (Sergei Aprelikov); bucket; gang up on (someone Anglophile); close in on (на кого-либо scherfas); heap up (on); incline; overload (with); pile (on); come full (напр., о воспоминаниях tess durbey); lean heavily on (kee46); put all one’s weight on; have a lot on one's plate (о делах Taras)

context.

feel overwhelming (It really just felt incredibly overwhelming. – Всё просто навалилось на нас. ART Vancouver)

fig.

load (with); hit it quick and hard (Luckily, assistant fire chief Gareth Michael and a crew of firefighters were already nearby on a training exercise when multiple 911 calls started coming in for a home on the 2300 block of Dunlewey Place. “We hit it quick and hard and managed to put the fire out quickly,” he said. -- Мы сразу навалились, и нам удалось быстро потушить пожар. (nsnews.com) ART Vancouver)

inf.

dig in (на еду Andrey Truhachev); attack; bring all weight to bear (on); drop; fall (upon); fall in large quantity; lean (on, upon); list; tear into; tilt; dog-pile on someone (на к-либо Халеев); pitch into (If everyone pitches into the job we'll get it finished by noon – Если все дружно навалимся, то мы закончим эту работу к полудню VLZ_58); pounce on

Makarov.

lean on; press on; press upon

nautic.

pull bard; set on (на судно, стенку и т.п.); fall foul (of)

навалить v

gen.