Wave shoaling
effect by which surface waves entering shallower water change in wave height

In fluid dynamics, wave shoaling is the effect by which surface waves, entering shallower water, increase in wave height. It is caused by the fact that the group velocity, which is also the wave-energy transport velocity, decreases with water depth. Under stationary conditions, a decrease in transport speed must be compensated by an increase in energy density in order to maintain a constant energy flux. Shoaling waves will also exhibit a reduction in wavelength while the frequency remains constant.
In other words, as the waves approach the shore and the water gets shallower, the waves get taller, slow down, and get closer together.
Particularly in a waterbody shallow enough for its surface to be affected by its bottom and where depth contours parallel the shore, a wave packet that does dissipate its energy by breaking will rise in height as it enters yet shallower water. This is plainly evident for tsunamis as they wax in height when approaching a coastline, often with devastating results.
Overview
Waves nearing the coast experience changes in wave height through different effects. Some of the important wave processes are refraction, diffraction, reflection, wave breaking, wave–current interaction, friction, wave growth due to the wind, and wave shoaling. In the absence of the other effects, wave shoaling is the change of wave height that occurs solely by changes in mean water depth – without alterations in wave propagation direction or energy dissipation.
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This entry incorporates text from “Wave shoaling” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.