a reduced model for internal waves interacting with submarine ...
a reduced model for internal waves interacting with submarine ...
a reduced model for internal waves interacting with submarine ...
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−η<br />
0.1<br />
0.08<br />
0.06<br />
0.04<br />
0.02<br />
0<br />
60<br />
50<br />
40<br />
30<br />
20<br />
t<br />
10<br />
0<br />
0 5 10 15 20 25 30 35 40 45 50<br />
ξ<br />
Figure 4.18: Numerical solution of the WNFM <strong>for</strong> the fission of a single solitary<br />
wave.<br />
traveling in opposite directions <strong>with</strong> approximate speed 0.9846. When they coincide<br />
(overlap) in space and time, the initial condition is recovered <strong>with</strong> an error<br />
of 9.8510×10 −4 , see Fig. 4.19. This behaviour of the wave is observed <strong>for</strong> long<br />
times as shown in Fig. 4.20.<br />
The examples in this chapter suggest that the <strong>model</strong> proposed in Chapter 2<br />
can be implemented numerically and that its basic qualitative properties are well<br />
captured by the numerical solutions.<br />
84
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