Finite-time Lyapunov exponents by Steve Brunton and ?

source: Steve Brunton       2015年9月29日  
Finite-time Lyapunov exponent (FTLE) field for an airfoil in a rapid pitch-up maneuver at low Reynolds number. The airfoil pitches up from 0 deg to 32 deg in a fraction of a convective time at Re=300. For more details, see our papers:

https://scholar.google.com/citations?... 

http://dx.doi.org/10.1063/1.3270044 

http://dx.doi.org/10.1017/jfm.2013.163

1 0:15 FTLE field for a pitching airfoil at low Reynolds number
2 0:15 FTLE field for a pitching airfoil at low Reynolds number (with Force)
3 0:27 Attracting FTLE field for plunging plate in a quiescent fluid
4 0:27 Repelling FTLE field for plunging plate in a quiescent fluid
5 0:27 Vorticity field for plunging plate in a quiescent fluid
6 0:14 FTLE field for a plunging plate at low Reynolds number
7 0:14 FTLE field for a pitching plate at low Reynolds number
8 0:49 FLTE field showing separation bubble bursting for flat plate airfoil
9 0:07 FTLE field for an airfoil in rapid plunge maneuver at low Reynolds number
10 0:10 Validation of forward-time FTLE field for vortex shedding
11 0:10 Validation of backward-time FTLE field for vortex shedding
12 0:41 Particles starting near positive-time LCS attract onto negative-time LCS
13 0:31 Particles starting near positive-time LCS attract onto negative-time LCS (zoom out)
14 0:26 Particle trajectories integrated through the double gyre illustrate heteroclinic tangle
15 0:02 Airfoil pitching about leading-edge (+/- 20 deg, Re=100), with FTLE visualization
16 0:02 Airfoil pitching about quarter-chord (+/- 20 deg, Re=100), with FTLE visualization
17 0:02 Airfoil pitching about mid-chord (+/- 20 deg, Re=100), with FTLE visualization
18 0:02 Airfoil pitching about three-quarter-chord (+/- 20 deg, Re=100), with FTLE visualization
19 0:02 Airfoil pitching about trailing-edge (+/- 20 deg, Re=100), with FTLE visualization
20 0:02 Airfoil pitching about leading-edge (+/- 27.1 deg, Re=100), with FTLE visualization
21 0:02 Airfoil pitching about quarter-chord (+/- 27.1 deg, Re=100), with FTLE visualization
22 0:02 Airfoil pitching about mid-chord (+/- 27.1 deg, Re=100), with FTLE visualization
23 0:02 Airfoil pitching about three-quarter-chord (+/- 27.1 deg, Re=100), with FTLE visualization
24 0:02 Airfoil pitching about trailing-edge (+/- 27.1 deg, Re=100), with FTLE visualization
25 0:02 Airfoil pitching about leading-edge (+/- 43.2 deg, Re=100), with FTLE visualization
26 0:02 Airfoil pitching about quarter-chord (+/- 43.2 deg, Re=100), with FTLE visualization
27 0:02 Airfoil pitching about mid-chord (+/- 43.2 deg, Re=100), with FTLE visualization
28 0:02 Airfoil pitching about three-quarter-chord (+/- 43.2 deg, Re=100), with FTLE visualization
29 3:00 Stirring Faces: Mixing in a Quiescent Fluid