File:Tsunami (simplified).gif
Summary
| Description |
English: The velocity of propagation of a sea wave depends on the depth of the water: the shallower the water the slower the wave. So if the depth reduces the wave will "accumulate" (like in a traffic jam).
Notice that this is just the propagation of a gaussian pulse with the shallow water dispersion relation, not a solution of the 1D Saint-Venant equations. |
| Date | |
| Source | https://twitter.com/j_bertolotti/status/1186229487874260992 |
| Author | Jacopo Bertolotti |
| Permission (Reusing this file) |
https://twitter.com/j_bertolotti/status/1030470604418428929 |
Mathematica 11.0 code
f = 0.5*Sum[(E^(I k x) E^(-(k - k0)^2/(2 \[Sigma]^2)) E^(-I \[Omega] t)) /. {\[Omega] -> Sqrt[g k Tanh[k (Erfc[0.2 (x - 25)]/1 + 0.1)]]} /. {\[Sigma] -> 0.2, k0 -> 2, g -> 1, h -> 2}, {k, 0, 15, 0.05}];
p1 = Table[
Show[
Plot[{Re[f], Erf[0.2 (x - 25)]/1 - 8}, {x, -20, 50}, PlotStyle -> {Directive[Blue, Thick], Directive[Brown]}, PlotRange -> {-11, 10}, Axes -> False, Filling -> {1 -> {{2}, Blue}, 2 -> {Bottom, Brown}}]
]
, {t, 0, 100, 1}];
ListAnimate[p1, 10]
Licensing
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