Numerical calculations (2) Convection in a rotating cylindrical annulus with fixed heat flux boundaries Numerical calculations (1) -parameter Numerical calculations (3)
Fig.6

Time evolution of convection in (a). The upper and lower panels are stream function and temperature, respectively.

** MOVIE **

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Figure 6 shows the time evolution of convection at   R=10000. In the initial stage, convection cells with small horizontal scales develop quickly. However, a large horizontal scale structure emerges at about t=20, and finally, the large horizontal scale convection cells are superimposed on the small horizontal scale convection cells. It seems that the development of convection is dominated by the effect of rotation in the initial stage and convection cells with small horizontal scales emerge, while the fixed heat flux condition forces the transition at the later stage and the convection cells with large horizontal scales appear.

Since the neutral curve of   h=103 in Figure 5 has a local minimum, there are two types of unstable modes with k~0 and k~6 at R=104. It appears that the initial development of small convection cells corresponds to the growth of unstable modes with k~6 and the emergence of the large horizontal scale structure corresponds to the growth of unstable modes with k~0. Comparison of growth rates and frequencies between the linear theory and the numerical calculations is in Appendix D.


Numerical calculations (2) Convection in a rotating cylindrical annulus with fixed heat flux boundaries Numerical calculations (1) -parameter Numerical calculations (3)