File:Tsunami (simplified).gif

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Tsunami_(simplified).gif(360 × 223 pixels, file size: 409 KB, MIME type: image/gif, looped, 101 frames)

Captions

Captions

Shallow water wave slowed down by change of depth

Summary[edit]

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[edit]

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[edit]

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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Date/TimeThumbnailDimensionsUserComment
current07:49, 22 October 2019Thumbnail for version as of 07:49, 22 October 2019360 × 223 (409 KB)Berto (talk | contribs)User created page with UploadWizard

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