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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. Contours of the
temperature perturbation field, Θ, at mid-height (z=0) are shown 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.
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| 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.