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REPRODUCTION OF 2D CHAOTIC ZONAL FLOWON A ROTATING SPHERE

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We study the properties of chaotic solutions under steady zonal forcing at high Reynolds number using the steady solutions, which bifurcate from the basic zonal flow solution at low Reynolds number. We reproduce the zonal-mean zonal velocity of the chaotic solution from those of the unstable bifurcating solutions by making a linear mapping from the solution space to the zonal-mean zonal profiles. The reproduction of the zonal-mean profiles is satisfactory although the linear mapping assumes the linear inter- and extra-polation of the profile of the bifurcating solutions in the solution space.

Author(s):

Eiichi Sasaki    
Research Institute for Mathematical Sciences, Kyoto University
Japan

Shin-ichi Takehiro    
Research Institute for Mathematical Sciences, Kyoto University
Japan

Michio Yamada    
Research Institute for Mathematical Sciences, Kyoto University
Japan