![[movie of plane couette flow]](Images/EQ4_3x2.png)
time step: dt = 0.03125. (2007-09-11, 25 MB)
These solutions are unstable
Any perturbation of a periodic solution decays quickly to the sustained turbulence state.
Periodic solutions are solutions of the full, unrestricted plane Couette flow |
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| A (numerically exact) solution periodic in a cell is also a solution in all larger cells tiled by it, so it is also a solution of the infinite plane Couette, of fixed spatial wavelengths: | |
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Spatial grid: 96 x 33 x 128; time step: dt = 0.03125. (2007-09-11, 25 MB) |
Here the initial state is 3 x 4 copies of
the T=35.77 orbit, slightly perturbed by being scaled to fit
[Lx, Ly, Lz] = [15, 2, 15] .
These solutions are unstable |
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A periodic solution extended across a large-aspect cell and perturbed slightly:
Any perturbation of a periodic solution decays quickly to the sustained turbulence state. |
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