Old Stuff

The following links are for deep-water waves of wavelength 10 meters and surface amplitude (vertical=horizontal) 0.5 meters.
Click
**here**
to read brief description of wave simulation.

Click
**here**
to see raw tex file of brief description above.

Click
**here**
to see figure 1.

Click
**here**
to see figure 2.

Click
**here**
to see fortran program used to simulate deep-water waves.

New Stuff

Click
**here**
to see magnification of original crest for t/T = 0.00, 0.05 and
0.10.

Click
**here**
to see magnification of original crest for t/T = 0.15, 0.20 and
0.25.

More New Stuff

The following links are for shallow-water waves of wavelength 10 meters, vertical surface amplitude 0.5 meter (which is no longer the same as a surface particle's horizontal amplitude), and a channel depth of 3.0 meters. Note that the vertical scale is greatly exaggerated in the figures.

Click
**here**
to see t/T = 0.00 and 0.25.

Click
**here**
to see t/T = 0.50 and 0.75.

Click
**here**
to see fortran program used to simulate shallow-water waves.

Still More New Stuff

The following links are for "standing waves" created by an obstacle (in this case, a cosine-bump) at the bottom of a trough in which water is flowing steadily from left to right at velocity V. Downstream waves are due to gravity, upstream waves to surface tension.

Formulas used are taken from Lighthill Chapter 3. For some cases, the parameters used violate Lighthill's conditions for linear solutions. So the plots shouldn't be taken too seriously. They merely indicate the qualitative growth of wave amplitude as stream velocity approaches the critical value and the bump dimensions approach those of resonance.

Following are two sets of three plots. The sets correspond to nominal water depths of 1 and 2 feet, respectively. In each case, the bump height is set to 20% of water depth. Within each set are shown results for bump lengths of 0.5, 1.0, and 2.0 feet.

Set 1: Depth = 1.0 feet

Set 2: Depth = 2.0 feet

Click
**here**
to see fortran program used to simulate the standing waves.