240 Computational Modelling in Hydraulic and Coastal Engineering
Water density = 1000 kg/m 3
Mean particle diameter = 0.001 m
The spatial discretization length is set as Δx = 3 m and the time step
as Δt = 12 s. After the continuous wave action for a 5-hour period, the
deformed beach profile and the evolution of the water depth over the
sandbar are shown in Figures 8.12 and 8.13, respectively.
0
–0.5
–1.5
–2.5
–3.5
–4.5
–1
–2
–3
–4
–5 0
10
20
30
40
50
60
70
80
90
Longitudinal distance × 3 (m)
Beach profile (m)
Evolved beach profile
Original beach profile
Figure 8.12 Beach profile and the development of a sandbar.
2.8
2.6
2.4
2.2
1.8
1.6
1.4
2
0
500
1000
1500
Time × 12 (s)
Water depth over the sandbar (m)
Figure 8.13 Reduction of the water depth due to the development of a sandbar.