MOVIES
(Made in collaboration with Dr. K. Indireshkumar; with technical assistance of Dr. I. Yakushin.)
Here is a general introduction to all three groups of movies (see also the review paper, Section 3.1; for more details, see a related paper , which is also found in PUBLICATIONS — “Spatiotemporal patterns in a 3-D film flow“.)
Movies of large-dispersivity regimes (see introduction to this group of movies)
| Movie number | Link to movie | A brief description | Comments |
|---|---|---|---|
| 1 | Movie | The outcome of evolution: Spatiotemporal pattern of strange attractor, 159696 < t < 159816. | Two subpatterns |
| 2 | Movie | Evolution starts from the “white noise” initial conditions. 0 < t < 8.2 . | The fastest growing mode in linear theory is 1D. |
| 3 | Movie | A transient stage, 160 < t < 520. | So, the waves become nearly 1-dimensional. |
| 4 | Movie | A transient stage, 1760 < t < 2360. | Now, the 1D waves break down into 2D structures due to nonlinearity. |
| 5 | Movie | A transient stage, 3200 < t < 3280. | Structures have separated into larger-amplitude “bulges” and small-amplitude background. |
| 6 | Movie | A transient stage, 4960 < t < 5080. | Background is nearly 1D. Bulges are identical but disarranged. |
| 7 | Movie | A transient stage, 6480 < t < 6880. | The number of bulges has decreased to 13 (through inelastic collisions; see movie 9). |
| 8 | Movie | A transient stage, 23000 < t < 26192. | Bulges are almost aligned. Background breaks down into 2D-localized “bumps”. |
| 9 | Movie | Collisions of 2D localized surface structures. | A transient stage, 85200 < t < 86200. |
Movies of small-dispersivity regimes (see introduction to this group of movies)
| Movie number | Link to movie | A brief description | Comments |
|---|---|---|---|
| 10 | Movie | Subharmonic instability (simplified initial wave); 0 < t < 1.73. | High frequencies of forcing: Checkerboard pattern |
| 11 | Movie | Subharmonic instability (more realisitic initial wave); 0 < t < 2.62. | High frequencies of forcing: Checkerboard pattern. |
| 12 | Movie | Synchronous instability; 0 < t < 7. | Intermediate frequencies of forcing: Spanwise-wavy crests. |
| 13 | Movie | Steepening of solitary waves; 0 < t < 1.37. | Low frequencies of forcing: Solitary waves. |
Movies of intermediate-dispersivity regimes (see intro to this group of movies)
| Movie number | Link to movie | A brief description | Comments |
|---|---|---|---|
| 14 | Movie | Time-asymptotic regime; dispersivity=0.125. | Normal view |
| 15 | Movie | Time-asymptotic regime; dispersivity=0.5: Horseshoe structures. | Normal view |
| 16 | Movie | Time-asymptotic regime; dispersivity=1.0: Horseshoe structures. | Normal view |
| 17 | Movie | Time-asymptotic regime; dispersivity=2.0: Horseshoe structures. | Normal view |
| 18 | Movie | Time-asymptotic regime; dispersivity=8.0. | Oblique view |