The Equations of Flow

Advect: carry velocity and dye along with the flow (the (u·∇)u term).
Diffuse: blend each cell with its neighbours (the ν∇²u term).
Project: solve for the pressure that removes any compression, so ∇·u = 0 (the ∇p term).

What the Navier–Stokes equations say, how Euler, Navier, Stokes, Reynolds and Kolmogorov built our picture of flow and turbulence, and the million-dollar question about blow-up behind an unverified 2026 AI claim. With a live fluid simulation you can stir.

Read the full story as text · อ่านภาษาไทย

This interactive 3D film needs JavaScript. PlanetPast home