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Numerical modeling of waves for a tsunami early warning system

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<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 />

experimental results are cut at that frequency in order to compare the same<br />

range <strong>of</strong> frequency. Now similar considerations can be made, when a near<br />

ηS15(m)<br />

ηS24(m)<br />

ηS16(m)<br />

0.02<br />

0.01<br />

0<br />

−0.01<br />

−0.02<br />

0.02<br />

0.01<br />

0<br />

−0.01<br />

−0.02<br />

0.02<br />

0.01<br />

0<br />

−0.01<br />

−0.02<br />

15 20 25 30<br />

15 20 25 30<br />

15 20 25 30<br />

t(s)<br />

ηS22(m)<br />

ηS19(m)<br />

0.02<br />

0.01<br />

0<br />

−0.01<br />

−0.02<br />

0.02<br />

0.01<br />

0<br />

−0.01<br />

−0.02<br />

15 20 25 30<br />

15 20 25 30<br />

t(s)<br />

Figure 4.32: Comparison <strong>of</strong> the free surface elevations at the far field gauges<br />

position, measured (red dashed line) and obtained from the numerical model<br />

(black solid line). The numerical results are achieved by using the registration<br />

<strong>of</strong> the free surface elevation at the gauge 12S to estimate the wave source<br />

term.<br />

field sea level gauge is used to determine the source term and the wave field<br />

is calculated at all the other gauges by means <strong>of</strong> the inversion technique. The<br />

laboratory registration <strong>of</strong> the free water surface elevation at the gauge 12S<br />

is taken as the available measurement to correct the pre-calculated unitary<br />

simulations. In the following figures, as <strong>for</strong> the previous one, the red dashed<br />

lines refer to the physical model results and the solid black lines to those <strong>of</strong><br />

the numerical model. In figure 4.31 the comparison <strong>of</strong> the free water surface<br />

elevation is shown at the near shore gauges. The comparison at the gauge<br />

12S is perfect because mathematically imposed; at the gauges 7S and 10S<br />

the numerical model reproduces a high frequency wave packet which does not<br />

compare in the physical model. Looking at the figure 4.32 this discrepancy<br />

Università degli Studi di Roma Tre - DSIC 78

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