Some meteorological conditions, especially deep depressions such as tropical cyclones,
can generate a type of storm surge called ameteotsunami which raises water heights above normal levels, often suddenly at the shoreline.
In the case of deep tropical cyclones, this is due to very low atmospheric pressure and inward swirling winds causing an uplifted dome of water to form under and travel in tandem with the storm. When these water domes reach shore, they rear up in shallows and surge laterally like earthquake-generated tsunamis, typically arriving shortly after landfall of the storm's eye.