Integrated Computation of Finite Time Lyapunov Exponent During ...

Efficient composition of evolving FTLE fields
Evolve time h flow maps during the simulation, store them on hard disk, construct time T flow
maps as needed
Approximate reconstruction of Φ t 0+2h+T
t 0 +2h
Approximate reconstruction of Φ t 0+h+T
t 0 +h
Approximate reconstruction of Φ t 0+T
t 0
}Fwd. time
constructions
Exact Φ t 0+T
t 0
t 0 t 0 +h t 0 +2h . . . . . . t 0 +T-h t 0 +T t 0 +h+T t 0 +2h+T
Simulation
Time (t)
Exact Φ t 0
t0 +T
Approximate reconstruction of Φ t 0
t0 +T
Approximate reconstruction of Φ t 0+h
t 0 +h+T
}Bkwd. time
constructions
Approximate reconstruction of Φ t 0+2h
t 0 +2h+T
Finn & Apte FTLE & DNS Integration 8