Visualization: Lagrangian mixing

Lagrangian particle trajectories of a spanwise - wall-normal sheet of initial "die" points, tracked until they cross the spanwise, streamwise (periodic b.c.) walls

Eulerian velocity field u = (u,v,w), time independent

Lagrangian x(t) trajectories
[laminar equilibrium] uUB mixing
(John R. Elton)

uUB Nagata upper branch equilibrium.

Stagnation points, heteroclinic connections, periodic orbits can be determined for each Eulerian equilibrium solution.

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