Integrated Computation of Finite Time Lyapunov Exponent During ...

Efficient composition of evolving FTLE fields
When computing evolving FTLE fields, redundant tracer integrations eliminated by splitting time T
flow map into N time h substeps.
Φ t 0+T
t 0
Φ t 0+T
t 0
= Φ Nh
(N−1)h ◦ · · · ◦ Φt 0+2h
t 0 +h ◦ Φt 0+h
t 0
(6)
= IΦ t 0+Nh
t 0 +(N−1)h ◦ · · · ◦ IΦt 0+2h
t 0 +h ◦ Φt 0+h
t 0
(7)
[Brunton and Rowley, 2010]
Finn & Apte FTLE & DNS Integration 8