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InertialObservr's profile
〈 Berger | Dillon 〉
〈 Berger | Dillon 〉
〈 Berger | Dillon 〉
@InertialObservr

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〈 Berger | Dillon 〉

@InertialObservr

PhD student of Theoretical Particle Physics @UCIrvine l @NSF Fellow l Physics & Math Animations l Patreon: https://www.patreon.com/inertialobserver …

DC → CA
youtube.com/c/InertialObse…
Joined August 2015

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    〈 Berger | Dillon 〉‏ @InertialObservr Feb 9
    • Report Tweet
    • Report NetzDG Violation

    One of the simplest fluid models is the so-called Trochoidal Wave •It describes each water particle as tracing out a circle whose radius decreases exponentially with depth, & has each particle share the same rotation frequencypic.twitter.com/i5fx93TXQQ

    3:06 PM - 9 Feb 2020
    • 980 Retweets
    • 4,780 Likes
    • Cem Ersöz Ancapcitor Navarro Lena Ibrahim The Thirst Pt. 4 зd flеsh Hervé Nicol Denizcan Çevik Jishu Guchhait
    31 replies 980 retweets 4,780 likes
      1. New conversation
      2. Dan Russell (Zoom Background Aficionado)‏ @drussellpsu Feb 10
        • Report Tweet
        • Report NetzDG Violation
        Replying to @InertialObservr

        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 …

        2 replies 2 retweets 31 likes
      3. 〈 Berger | Dillon 〉‏ @InertialObservr Feb 10
        • Report Tweet
        • Report NetzDG Violation
        Replying to @drussellpsu

        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

        1 reply 1 retweet 15 likes
      4. 2 more replies
      1. New conversation
      2. murat‏ @mayfer Feb 9
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        Replying to @InertialObservr

        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)

        1 reply 0 retweets 0 likes
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      1. New conversation
      2. Yassine Alouini‏ @YassineAlouini Feb 9
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        Replying to @InertialObservr

        Awesome! Do you know if any PDE describes this "wave"?

        1 reply 0 retweets 20 likes
      3. 〈 Berger | Dillon 〉‏ @InertialObservr Feb 9
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        • Report NetzDG Violation
        Replying to @YassineAlouini

        indeed, the Trochoidal waves are an exact solution of the Euler equations for periodic surface gravity waves

        2 replies 2 retweets 86 likes
      4. 2 more replies
      1. New conversation
      2. Joel David Hamkins‏ @JDHamkins Feb 10
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        Replying to @InertialObservr @MrHonner

        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.

        1 reply 0 retweets 11 likes
      3. 〈 Berger | Dillon 〉‏ @InertialObservr Feb 10
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        Replying to @JDHamkins @MrHonner

        Good question .. my understanding is that this does describe a wave of an incompressible fluid of infinite depth

        2 replies 0 retweets 5 likes
      4. 4 more replies
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      2. Akiva Weinberger‏ @akivaw Feb 9
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        Replying to @InertialObservr

        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

        1 reply 7 retweets 150 likes
      3. Akiva Weinberger‏ @akivaw Feb 9
        • Report Tweet
        • Report NetzDG Violation
        Replying to @akivaw @InertialObservr

        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?

        2 replies 1 retweet 20 likes
      4. 1 more reply

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