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| Movie 1. | Movie 2. |
Movie 1. Numerical simulation of Küpper-Lortz spatio-temporal
chaos in Rayleigh-Bénard convection with constant rotation,
showing contours of the temperature perturbation
field, Θ, at mid-height (z=0)
for Ra=2868.8, Ω0=23.6, &
γ=11.8 over 450 viscous times at 108
viscous times per second, repeated 10 times. This movie
corresponds to figure 1 in the paper.
Download movie 1.
Movie 2. Numerical simulation of a pulsed target pattern in
Rayleigh-Bénard convection with modulated rotation. At each forcing
period, Stokes layers form at the top and bottom boundaries before
being deflected into the sidewall to create a strong radial jet
that displaces the target pattern over the course of the forcing period.
Shown are contours of the temperature field for Ra=2700,
Ω0=Ωm=23.6, A=0.05,
& γ=11.8. Ten forcing periods are shown at a rate
of 0.266 viscous times per second. This movie corresponds to
figure 7(b) in the paper.
Download movie 2.
| Movie 3. | Movie 4. | Movie 5. |
Movie 3. Numerical simulation of a traveling target state in
Rayleigh-Bénard convection with modulated rotation. By raising
the Rayleigh number from Ra=2700 to Ra=2705 the target
pattern loses stability to a traveling target pattern in which the
axisymmetric plumes slowly recede into the center. Shown are contours
of the temperature field for Ra=2705,
Ω0=Ωm=23.6, A=0.05, &
γ=11.8 over 2500 viscous times at a rate
of 102 viscous times per second. This movie corresponds to the
space-time diagram shown in figure 12(a) in the paper.
Download movie 3.
Movie 4. Numerical simulation of a traveling target state.
Beyond the onset of the traveling target patterns,
the solution behaves more like a harmonic oscillator,
although the slow-fast nature of the solution is still
evident. Shown are contours of the temperature field at Ra=2844,
Ω0=Ωm=23.6, A=0.18, &
γ=11.8 over 2500 viscous times at a rate
of 102 viscous times per second. This movie corresponds to the
space-time diagram shown in figure 12(b) in the paper.
Download movie 4.
Movie 5. Numerical simulation of a traveling target state.
Far beyond the onset of the traveling target patterns,
the solution behaves like a harmonic oscillator.
Shown are contours of the temperature field at Ra=2840,
Ω0=Ωm=23.6, A=0.06, &
γ=11.8 over 2500 viscous times at a rate
of 102 viscous times per second. This movie corresponds to the
space-time diagram shown in figure 12(c) in the paper.
Download movie 5.