Honest question after reading your complaint about others "stealing/sharing" your anims => is recreating an anim nearly identical to someone else's a form of plagiarism? Your water wave anim looks amazingly similar to mine (original b&w 1998, color 2016): https://www.acs.psu.edu/drussell/Demos/waves/wavemotion.html …
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You do raise an interesting question. It's not like I went to your Desmos and ripped the source code and changed some colors I went to Wiki to find the EOM and wrote my own https://github.com/InertialObservr/twitter_gifs/blob/master/fluid_trochoidal_waves.nb … My professor as an undergrad showed us a similar animation .. 1/2
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There is no compression of the fluid here, right? What I'm curious about is, given the math you provided, if each fluid particle fills an unoccupied spot in the next iteration (or if there is overlap -- and therefore compression)
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Awesome! Do you know if any PDE describes this "wave"?
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indeed, the Trochoidal waves are an exact solution of the Euler equations for periodic surface gravity waves
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The video seems to show violations of the incompressibility of the fluid, since the density of the dots varies far from uniform. Doesn't this make the model unrealistic? After all, we don't expect parts of the water to be much denser than others, just because there is a wave.
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Good question .. my understanding is that this does describe a wave of an incompressible fluid of infinite depth
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And here's an example, courtesy of Wikipedia, that exhibits drift https://upload.wikimedia.org/wikipedia/commons/4/4a/Deep_water_wave.gif …pic.twitter.com/unSPVuvfYQ
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Which makes me wonder: it can drift with the waves, and it can have zero drift. Can it have drift in the opposite direction of the waves?
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