Como dizer "surgir aos montes" em inglês

Português: surgir aos montes, chegar a toda velocidade, vir de rodo.
Inglês: to come thick and fast.

Exemplo 1: Almost from the moment the chancellor sat down after delivering last year’s speech, the bad fiscal news has come thick and fast. Ref. independent.co

OBS.: Se quisermos dizer o oposto, podemos usar o verbo to trickle in/through.

Exemplo 2: I think it's just trickling in across our whole society really and we can't accommodate everything all the time, but we should in our own country be able to say what we want. Ref. bbc

Exemplo 3: And yet some news has trickled through, with reports of shooting in the streets and mass casualties of protesters, killed by regime security forces. Ref. reutersinstitute.politics.ox.ac

Cf. Como dizer "Vir aos poucos" em inglês