Pattern Formation in Two-Dimensional Turbulence on a Rotating Sphere

  • Shigeo Yoden
  • Keiichi Ishioka
  • Michio Yamada
  • Yoshi-Yuki Hayashi
Conference paper


Series of numerical experiments on two-dimensional decaying turbulence are performed for a non-divergent barotropic fluid on a rotating sphere to survey the nature of pattern formation from random initial fields. Time evolution of the flow field is highly dependent on the rotation rate of the system. In non-rotational cases, isolated coherent vortices emerge in the course of time development as in the planar two-dimensional turbulence. As the rotation rate increases, however, the evolution of the flow field changes drastically, and a westward circumpolar vortex appears in high-latitudes as well as zonal band structures in mid- and low-latitudes. Dependence of these features on the initial energy spectrum is investigated and the dynamics of such pattern formations is discussed with a weakly nonlinear Rossby wave-zonal flow interaction theory.


Rossby Wave Vorticity Field Coherent Vortex Latitudinal Position Rotating Sphere 
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Copyright information

© Springer Japan 2003

Authors and Affiliations

  • Shigeo Yoden
    • 1
  • Keiichi Ishioka
    • 2
  • Michio Yamada
    • 2
  • Yoshi-Yuki Hayashi
    • 3
  1. 1.Department of GeophysicsKyoto UniversityKyotoJapan
  2. 2.Graduate School of Mathematical SciencesUniversity of TokyoTokyoJapan
  3. 3.Division of Earth and Planetary SciencesHokkaido UniversitySapporoJapan

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