Integrated Computation of Finite Time Lyapunov Exponent During ...

Computing the forward time flow map, Φ t 0+T
t 0
(3) Communicate
Φ t0+T = x(t = t
t0 0 + T )
to takeoff cell
(2) Tracer advection
to time t = t 0 + T
The Lagrangian Treatment:
1 Launch tracer from each
cell center at t = t 0
2 Update tracer position
dx
dt
= u(x, t) (4)
3 Communicate tracer
position to launch cell
(1) Launch tracers
from cell centers,
x(t = t 0 ) = x cv
Nothing new here, but what do we do about backward time
Finn & Apte FTLE & DNS Integration 6