[jjav]

A tsunami wave isn't necessarily high, it is not at all like a regular wave which arrives on shore, breaks and immediately dissipates. A tsunami wave could be just a handful of inches high but it keeps coming on and on and on, pushing more and more water in as the incoming rush of water seems to never stop.

[somat]

It is why I don't think tidal wave is a bad term for the phenomena, A wave that comes in like the tide. at least as good as tsunami, literally harbor wave, Which I guess is a wave you get in a harbor(a place with no waves usually)

[bombcar]

Tsunamic tide would be better - as it operates like a high tide, which can be relatively shallow but still cause a lot of action.