assault
attack
storming (e.g., of a building or position)
Les forces spéciales ont lancé l'assaut à l'aube.
Special forces launched the assault at dawn.
onslaught
barrage
flood (of something, e.g., questions, messages)
On a dû faire face à un assaut de questions pendant la réunion.
We had to deal with a barrage of questions during the meeting.