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Vorticity-streamfunction formulation of 2D incompressible N-S:
∂ω/∂t + (u·∇)ω = ν∇²ω
∇²ψ = −ω
u = ∂ψ/∂y, v = −∂ψ/∂x
Click canvas to inject vorticity. Color = vorticity ω (blue=−, red=+).
Vortex stretching is absent in 2D — vorticity is materially conserved in inviscid flow. Real 3D turbulence involves vortex stretching cascade.