Singularities in Surface Waves - Selected Topics of Computational and Experimental Fluid Mechanics - page 215

Fig. 9 Monochromatic wave
of frequency f

4

7Hz along
the symmetry axis. Before
y

=

3

15 cm the wave
amplitude grows
monotonically, but after this
position there are important
modification in wave, for
instance around the peaks
located approximately at
y = 26 cm and y = 30 cm we
found two local maxima

=

2

1

0

−1

−2

30 25 20 15 10

Y (cm)

Fig. 10 Wave fie ld of a
monochromatic wave of f =

7Hz produced by a parabolic
wave maker. a Linear wave
and b nonlinear wave with
an initial amplitude of 2% of
the liquid depth. Wave
progresses from right to left .
In the figure the maximal
amplitude occurs after
passing the cusp. Maximal
amplitude for non linear
wave is greater with respect
the linear wave

and outside the caustics. In the same manner, after passing the Huygens cusp, the
amplitude decreases because wave becomes divergent. However some differences
must be highlighted. A first thing to emphasize is that the peaks around the cusp