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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.

Paata Ivanisvili

7,544 subscribers

41,249 次观看 • 8 天前 •via X (Twitter)

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14 条评论

dgero 的头像

dgero7 天前

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).

🌍 📈 Ethan Connelly 🍻 的头像

🌍 📈 Ethan Connelly 🍻8 天前

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

Sean Cook 的头像

Sean Cook7 天前

I enjoyed this.

Paata Ivanisvili 的头像

Paata Ivanisvili7 天前

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

Matt Gibson 的头像

Matt Gibson8 天前

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

Dezhe Jin 的头像

Dezhe Jin8 天前

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

Reynolds BEng 2.20 的头像

Reynolds BEng 2.208 天前

PhDad. Appendix A, Project 2 Navier Stokes Solution

DaveJannis 的头像

DaveJannis7 天前

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

S. L. U. 的头像

S. L. U.7 天前

Awesome 👏

ⓧ augerd 🜏 ∞ 🜏 的头像

ⓧ augerd 🜏 ∞ 🜏8 天前

nice!

Dr. D 🌱 的头像

Dr. D 🌱8 天前

Now do 3D

mattyjags 的头像

mattyjags7 天前

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...

Ralf Stephan 的头像

Ralf Stephan7 天前

That looks very fractaly.

Joe Maj 的头像

Joe Maj7 天前

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

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Visualization of the incompressible Navier–Stokes equation. Showing how pressure, inertia, viscosity, and external forces govern fluid motion, from smooth laminar flow to vortices, smoke advection, and turbulence.

Visualization of the incompressible Navier–Stokes equation. Showing how pressure, inertia, viscosity, and external forces govern fluid motion, from smooth laminar flow to vortices, smoke advection, and turbulence.

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