Navier-Stokes · vorticity-stream function · Reynolds number effects
100
Reynolds #
0
Iterations
-
Max |v|
Vorticity-stream formulation: ∂ω/∂t + u·∇ω = (1/Re)∇²ω, ∇²ψ = -ω.
Lid (top) moves at u=1; all other walls no-slip. As Re increases: single primary vortex →
secondary corner vortices appear → transition to unsteady flow at Re ≈ 5000.
Re = UL/ν