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Numerical modeling of waves for a tsunami early warning system

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ηR1(m)<br />

ηR2(m)<br />

<strong>Numerical</strong> <strong>modeling</strong> <strong>of</strong> <strong>waves</strong> <strong>for</strong> a <strong>tsunami</strong> <strong>early</strong> <strong>warning</strong> <strong>system</strong><br />

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0 2 4 6 8 10 12 14 16 18 20<br />

0.02<br />

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0<br />

−0.01<br />

−0.02<br />

0 2 4 6 8 10 12 14 16 18 20<br />

Figure 4.22: Comparison <strong>of</strong> the numerical data (thick black line) and the<br />

analytical solution one (black thin line)<br />

The general properties <strong>of</strong> the wave field are predicted with satisfactory<br />

accuracy by both mathematical models. Quantities <strong>of</strong> fundamental<br />

engineering insterest such as the maximum elevation are very well<br />

reproduced. The biggest difference in the comparison <strong>of</strong> figure 4.22 appears<br />

in the first incoming wave, which is overestimated in the analytical model<br />

based on shallow water equations.<br />

4.5 Landslide generated <strong>waves</strong> around a<br />

conical island<br />

Further physical experiments which aims at studying the <strong>tsunami</strong> wave field<br />

generated by landslide have been carried out in a large wave tank at the<br />

Research and Experimentation Laboratory <strong>for</strong> Coastal Defence (LIC) <strong>of</strong> the<br />

Technical University <strong>of</strong> Bari, Italy, in cooperation with the Environmental<br />

and Maritime Hydraulics Laboratory Umberto Messina (LIAM) <strong>of</strong> the<br />

University <strong>of</strong> L’Aquila, Italy. They simulate landslide body falling on the<br />

flank <strong>of</strong> a conical island. The conical island was built in order to approximatly<br />

Università degli Studi di Roma Tre - DSIC 67<br />

t(s)

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