Navier-Stokes 2D — Lid-Driven Cavity Flow

Incompressible viscous flow in a square cavity. Top lid moves right at velocity U.

Velocity magnitude + streamlines

Vorticity ω = ∂v/∂x − ∂u/∂y

Re (Reynolds #) 200

Grid N 40

Speed 5

Step: 0

Re: 200

Max |u|: —

Vorticity range: —

The lid-driven cavity is a benchmark for incompressible NS solvers. Uses fractional step (projection) method: advect+diffuse velocity, solve Poisson for pressure, project to divergence-free field. At Re~1000 corner vortices develop (Moffatt eddies).