Numerical modeling of waves for a tsunami early warning system

η1 (m)
η2 (m)
η3 (m)
η4 (m)
η5 (m)
0.05
0
Numerical modeling of waves for a tsunami early warning system
−0.05
0
0.05
1 2 3 4 5 6 7 8 9 10
0
−0.05
0
0.05
1 2 3 4 5 6 7 8 9 10
0
−0.05
0
0.05
1 2 3 4 5 6 7 8 9 10
0
−0.05
0
0.05
1 2 3 4 5 6 7 8 9 10
0
−0.05
0 1 2 3 4 5 6 7 8 9 10
t(s)
Figure 4.4: Surface elevation at gauges 1, 2, 3, 4, 5 (from top to bottom). The
dashed red lines again represent the experimental values. The dashed black
lines are the present model results solved with the long wave approximation.
The thin black line represents the model based on the BTE (Nwogu, 1993).
Please note that the dashed black line is truncated after the first two waves,
to make the results more readable.
identical for the models.
The results of the present numerical model, as seen in figure 4.3, appear
to compare satisfactorily with the experimental data. Important properties
of the waves at hand, such as the arrival time of the crest, the wave height
and the wave period are reproduced with high accuracy. The elevation of
the first wave crest at the gauge 5 is evaluated with an underestimation of
about 12%. The solution of the BTE (figure 4.4), as expected, also results to
be in perfect agreement with the experiments. On the contrary the LSWE
reproduce waves that propagate with a frozen shape along the domain. The
Università degli Studi di Roma Tre - DSIC 44