Click to inject a counter-rotating vortex pair
Click & drag to apply force in drag direction
★ Use "Add Vortex Pair" button for symmetric injection

Physical Parameters

Solver Settings

Actions

Statistics

Grid: 256×256
FPS: 60
Max |u|: 0.0
Max |ω|: 0.0
Max |S|: 0.0
Max |Ω|: 0.0

Tensor Decomposition

The velocity gradient tensor ∇u decomposes into:

∇u = S + Ω

S = ½(∇u + ∇uᵀ) — Symmetric strain rate
Ω = ½(∇u − ∇uᵀ) — Antisymmetric rotation

Strain deforms fluid elements without rotation. Rotation spins them without deformation.