164 Computational Modelling in Hydraulic and Coastal Engineering
0.01
0.008
0.006
0.004
0.002
–0.002
–0.004
–0.006
–0.006
–0.01
0
0
5
10
15
20
25
30
35
40
Wave number of Fourier series terms
Fourier series coefficients at midpoint of the basin
Coefficient a
Coefficient b
Figure 6.11 Fourier series α k and β k coefficients at the midpoint of the basin.
0.01
0.009
0.008
0.007
0.006
0.005
0.004
0.003
0.002
0.001
0 0
5
10
15
20
25
30
35
40
Wave number of Fourier series terms
Amplitude of Fourier components
Location x = nx/2
Location x = nx/5
Periodogram
Figure 6.12 Free surface Fourier series periodogram.