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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0.6<br />
0.4<br />
0.2<br />
η<br />
0<br />
−0.2<br />
40<br />
35<br />
30<br />
25<br />
20<br />
15<br />
10<br />
t<br />
5<br />
0<br />
0 5 10 15 20 25 30 35 40 45 50<br />
ξ<br />
Figure 4.3: Travelling wave on a periodic domainΠ[0, 16π]. The numerical<br />
solution was obtained using AM4 <strong>with</strong> N = 512,∆ξ = 2π/N = 0.098175,<br />
∆t=∆ξ=0.098175.<br />
0.6<br />
0.5<br />
0.4<br />
0.3<br />
η<br />
0.2<br />
0.1<br />
0<br />
−0.1<br />
0 10 20 30 40 50 60<br />
ξ<br />
Figure 4.4: Travelling wave. Dotted line: numerical solution <strong>for</strong> the nondispersive<br />
LFM using AM4 <strong>for</strong> t=39.2699 and N= 512,∆ξ=2l/N= 0.098175,∆t=<br />
∆ξ=0.098175, dashed line: initial condition, solid line: exact solution.<br />
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