한국어로 읽기 The Long Journey of a Wave

All scenes › Chapter 4 Breaking on the beach

When the seabed rises

As the seabed gets closer, circles flatten into ovals and waves slow down — try it yourself

View in 3D

Raise the seabed

This time you can raise the seabed yourself. Use the “Water depth” slider to change how deep the sea is. Once the seabed is closer than half the crest-to-crest distance, the circles are squashed from above and below into flat ovals. Dots near the bottom move almost only back and forth. And the wave slows down.

Why?Water cannot move down through the seabed. So water near the bottom has less room to move up and down, and is only pushed forward and back. That is why the circles flatten.

Learn moreAn 8-second wave travels at 45 km/h in water 60 m deep, but at 32 km/h in water 10 m deep. At 60 m the surface circle is 100% as tall as it is wide — almost round — but at 10 m it is 71%, clearly flatter. Wave height on screen is drawn 2× larger.

Crest speed at this depth
32 km/h
60 m deep
45 km/h · circle 100%
10 m deep
32 km/h · circle 71%

calculated from the textbook equations for water waves (linear wave theory)

View this scene in 3D →

Read more

Wikipedia: Airy wave theory

More in the series

The numbers come from the textbook equations for water waves (linear wave theory, the dispersion relation and shoaling). In the 3D view, wave heights are drawn larger; the seabed slope and the shape of breaking waves are rough sketches.