Effect of turbulence on zonal jet flows in equivalent-barotropic quasi-geostrophic model

Kiori Obuse, Shin-ichi Takehiro, Michio Yamada


The linear stability of zonal flows superposed upon a sinusoidal, slightly supercritical background flow in an equivalent-barotropic quasi-geostrophic model on a \(\beta\) plane is investigated using asymptotic analysis. Consistent with results of full numerical simulations, all the steady isolated zonal jet solutions were found to be linearly unstable, and specifically, the mode independent of longitudinal direction was found to be most unstable, even when the amplitude equation of the zonal flows has longitudinal dependence.

  • K. Obuse, S. Takehiro and M. Yamada, Long-time asymptotic states of forced two-dimensional barotropic incompressible flows on a rotating sphere. Phys. Fluids 22:156601, 2010. doi:10.1063/1.3407652
  • R. K. Scott and L. M. Polvani, Forced-dissipative shallow-water turbulence on the sphere and the atmospheric circulation of the giant planets. J. Atmos. Sci. 64:3158–3176, 2007. doi:10.1175/JAS4003.1
  • A. J. Manfroi and W. R. Young, Slow evolution of zonal jets on the beta plane. J. Atmos. Sci. 56:784–800, 1999. doi:10.1175/1520-0469(1999)056<0784:SEOZJO>2.0.CO;2
  • K. Obuse, S. Takehiro and M. Yamada, Linear stability of steady zonal jet flows induced by a small-scale forcing on a \(\beta \) plane. Physica D 240:1825–1834, 2011. doi:10.1016/j.physd.2011.08.009
  • S. Takehiro, M. Odaka, K. Ishioka, M. Ishiwatari, Y.-Y. Hayashi and SPMODEL Development Group, A series of hierarchical spectral models for geophysical fluid dynamics. Nagare Multimedia, 2006. http://www.nagare.or.jp/mm/2006/spmodel/


76U05 Rotating fluids

Full Text:


DOI: http://dx.doi.org/10.21914/anziamj.v58i0.11782

Remember, for most actions you have to record/upload into this online system
and then inform the editor/author via clicking on an email icon or Completion button.
ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.