Physics – Geophysics
Scientific paper
Jul 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004georl..3113109t&link_type=abstract
Geophysical Research Letters, Volume 31, Issue 13, CiteID L13109
Physics
Geophysics
Meteorology And Atmospheric Dynamics: General Circulation, Meteorology And Atmospheric Dynamics: Theoretical Modeling, Meteorology And Atmospheric Dynamics: Turbulence, Meteorology And Atmospheric Dynamics: Waves And Tides, Mathematical Geophysics: Nonlinear Dynamics
Scientific paper
In this study, energy spectrum of the large-scale atmospheric motions is examined in the framework of the 3D normal mode decomposition. The horizontal scale of disturbance is measured by the phase speed of a Rossby mode c. According to the analysis result for the barotropic component of the atmosphere, we obtain a characteristic energy spectrum with distinct slopes for the turbulence and wave regimes separated by the spherical Rhines speed. In order to explain the observational finding that the energy spectrum is proportional to c2, we put forward a hypothesis based on the criterion of Rossby wave breaking such that the local meridional gradient of potential vorticity becomes negative, ∂q/∂y < 0, somewhere in the domain. With a constant m describing a total mass of the atmosphere for unit area, we have shown that the barotropic energy spectrum of the general circulation E can be represented as E = mc2.
Kanda Takahiro
Tanaka Hiro Lee
Watarai Yasushi
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