Lagrangian Particle Tracking
Chaotic advection in 2D flows: stretching, folding, and Poincaré sections
0
Particles
0.0
Time
—
Lyapunov est.
—
Flow mode
Flow type
ABC
DG
vortex
Particles
300
A parameter
1.00
B parameter
0.50
ε (time-dep.)
0.25
Speed
1.0
Run
Reset
Add
Lagrangian tracking: particles follow dx/dt=u(x,t). ABC flow (Arnold-Beltrami-Childress) is a 3D steady chaotic flow — 2D slice shown. Double gyre (DG) has a time-periodic separatrix creating chaotic lobe dynamics. Poincaré section: dots plotted once per period.