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Navier–Stokes equation (2D incompressible), solved live numerically on a discrete grid ρ (∂u/∂t + u·∇u) = −∇p + μ Δu + f, ∇·u = 0 The ink (the white stuff on the left) is added so you can see the motion of the fluid.

41,383 Aufrufe • vor 2 Monaten •via X (Twitter)

14 Kommentare

Profilbild von dgero
dgerovor 2 Monaten

Nice live visualization of the equations! Here’s a real-world laminar → turbulent transition in the Isar Canal (single frame vs. average from a 4K video).

Profilbild von 🌍 📈 Ethan Connelly 🍻
🌍 📈 Ethan Connelly 🍻vor 2 Monaten

Built something similar a while ago for reaction-diffusion patterns!

Profilbild von Sean Cook
Sean Cookvor 1 Monat

I enjoyed this.

Profilbild von Paata Ivanisvili
Paata Ivanisvilivor 1 Monat

I’ve watched this over and over, and it never gets boring

Profilbild von Matt Gibson
Matt Gibsonvor 2 Monaten

The contest/prize is rigged though because nature and reality is not smooth. Any thoughts on that?

Profilbild von Dezhe Jin
Dezhe Jinvor 2 Monaten

Where is cascade to larger scales? 2D turbulence is very different from 3D turbulence. The movie says nothing about the correctness of the simulation

Profilbild von Reynolds BEng 2.20
Reynolds BEng 2.20vor 2 Monaten

PhDad. Appendix A, Project 2 Navier Stokes Solution

Profilbild von DaveJannis
DaveJannisvor 1 Monat

What does this conjecture try to prove/disprove...sry, im lost

Profilbild von S. L. U.
S. L. U.vor 1 Monat

Awesome 👏

Profilbild von ⓧ augerd 🜏 ∞ 🜏
ⓧ augerd 🜏 ∞ 🜏vor 2 Monaten

nice!

Profilbild von Dr. D 🌱
Dr. D 🌱vor 2 Monaten

Now do 3D

Profilbild von mattyjags
mattyjagsvor 1 Monat

Thats interesting as i dont see the way you designed said grid. I happen to know the only determanistic grid that can do this because i built it....the question then becomes why...

Profilbild von Ralf Stephan
Ralf Stephanvor 2 Monaten

That looks very fractaly.

Profilbild von Joe Maj
Joe Majvor 1 Monat

How about air over an airfoil, Reynolds number ~10^6

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216,446 Aufrufe • vor 1 Monat