Vortex Deformation · HIT
Homogeneous Isotropic Turbulence — Vortex Tube Dynamics
t/τ = 0.00
INITIAL VORTEX RING
VELOCITY FIELD
Simulation Control
TURBULENCE INTENSITY
0.35
Re
λ
(Taylor)
150
SPEED
1.0×
▶ PLAY
↺ RESET
VELOCITY
VORTICITY
Q-CRIT
Live Statistics
ENSTROPHY
1.00
DISS. RATE ε
0.00
STRAIN S
ij
0.00
COHERENCE
1.00
Current Stage
Initial vortex tube — coherent, axisymmetric. Strain and rotation are balanced. No significant deformation yet.
Key Physics
Vorticity transport equation:
Dω/Dt =
ω·∇u
+ ν∇²ω
The
vortex stretching
term ω·∇u amplifies vorticity along strain eigenvectors. Tubes stretch → thin → cascade energy to smaller scales.
⟨ω_i S_ij ω_j⟩ > 0
Vorticity preferentially aligns with the
intermediate
strain eigenvector in HIT (Ashurst et al. 1987).
Biot-Savart coupling between tubes induces
reconnection
events — topology changes that break coherent structures into rings and filaments.
Legend
Primary vortex tube / high ω
Secondary/reconnected structures
Background velocity/Q-criterion
Passive tracer particles