Statistics
Scientific paper
Nov 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007georl..3422801o&link_type=abstract
Geophysical Research Letters, Volume 34, Issue 22, CiteID L22801
Statistics
11
Atmospheric Processes: Turbulence (4490), Atmospheric Processes: General Circulation (1223), Atmospheric Processes: Theoretical Modeling
Scientific paper
The closure problem of turbulence arises because nonlinear interactions among turbulent fluctuations (eddies) lead to an infinite hierarchy of moment equations for flow statistics. Here we demonstrate with an idealized general circulation model (GCM) that many atmospheric flow statistics can already be recovered if the hierarchy of moment equations is truncated at second order, corresponding to the elimination of nonlinear eddy-eddy interactions. Some, but not all, features of the general circulation remain the same. The atmospheric eddy kinetic energy spectrum retains a -3 power-law range even though this is usually explained in terms of an enstrophy cascade mediated by nonlinear eddy-eddy interactions. Our results suggest that it may be possible to construct fast general circulation models that solve for atmospheric flow statistics directly rather than via simulation of individual eddies and their interactions.
O'Gorman Paul A.
Schneider Tapio
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