Global spectra of energy and enstrophy and their fluxes during July 1979 |
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| Authors: | S S Desai S K Mishra |
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| Institution: | (1) Indian Institute of Tropical Meteorology, 411 008 Pune, India;(2) National Centre for Medium Range Weather Forecasting, Mausam Bhavan, Lodi Road, 110 003 New Delhi, India |
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| Abstract: | Transient and stationary spectra of kinetic energy (KE), available potential energy (APE) and enstrophy (EN), and their spectral fluxes as a function of the two-dimensional wavenumbern were computed for July 1979. Triangular truncation at zonal wavenumber 42 was used for computation. The slopes of various
spectra in the wavenumber range 14≤n≤25 were obtained by fitting a straight line in log-log scale by the least square method. The transientKE, APE andEN spectra in the lower (upper) troposphere had slopes −2·21 (−2·30), −2·65 (−2·64) and −0·36 (−0·46), respectively. The effect
of stationary and divergent motion on the slope values was investigated. The possible correlation between the slope and percentage
of transient component in the combined energy and enstrophy was examined to identify the transient motion of the atmosphere
with the two-dimensional homogeneous isotropic turbulence. The vertically averaged slope of kinetic energy and enstrophy in
the lower (upper) troposphere was close to the value at 700 (200) hPa level.
The spectral fluxes of kinetic energy and enstrophy in the wavenumber range 14≤n≤25 satisfied, to a very rough approximation, the criteria of inertial subrange. The stationary fluxes were small. The estimated
stationary-transient component of flux was larger, comparable and less than the corresponding transient flux of APE, KE and
EN.
Representative levels for computation of energy and enstrophy spectra and their fluxes in the lower and upper troposphere
were identified. |
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| Keywords: | Energy and enstrophy spectra spectral fluxes turbulent power laws inertial subrange |
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