At university and in the first few years of my career (1970’s) I spent a lot of time working to simulate with mathematics and computers the motion of water waves and the resulting forces when those waves hit shallow water, ships in that shallow water, etc. Frankly, we never figured it out as it was all second order non-linear differential equations and we gave up. We never got to the point of visualizing those motions.
Well, it’s now 2011 and time has moved on. Evan Wallace has released an immensely impressive demonstration of web technology to display water waves in small container. He also has a sphere you can drag and drop around the small container of water. And the watch the waves. Impressive.