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Some aspects of the large‐scale turbulence and diffusion in the atmosphere
Author(s) -
Kao S.K.
Publication year - 1965
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.49709138703
Subject(s) - eulerian path , turbulence , physics , amplitude , atmosphere (unit) , wavenumber , spectral line , diffusion , computational physics , autocorrelation , function (biology) , scale (ratio) , mechanics , classical mechanics , lagrangian , meteorology , mathematics , optics , thermodynamics , statistics , astronomy , evolutionary biology , quantum mechanics , biology , mathematical physics
The Eulerian and Lagrangian autocorrelations and energy spectra of the large‐scale turbulent motion in the atmosphere are computed and analysed. It is found that the distributions of the Eulerian and Lagrangian autocorrelations of the zonal velocities show the characteristic of an exponentially decreasing function, whereas those of the meridional velocities exhibit the behaviour of a sinusoidal function with a damping amplitude. The energy spectra appear to be proportional to the minus second power of the frequency in the high frequencies. Analyses are also made of the energy spectra, autocorrelations, and the Eulerian‐Lagrangian time scale transformation in a planetary wave model. The ratio of the Eulerian and Lagrangian frequencies for the large‐scale atmospheric turbulence is found to be a function of the mean zonal velocity, latitude, and the angular wave number of the planetary wave. Comparisons are made of the energy spectra and autocorrelations derived from the planetary wave model and those found from observations.