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Modulated rotating convection: Radially traveling concentric rolls

A. Rubio, J. M. Lopez & F. Marques

Journal of Fluid Mechanics, vol. 608 (2008),   pp. 357-378

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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, Ω0m=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, Ω0m=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, Ω0m=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, Ω0m=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.