Mathematics – Logic
Scientific paper
Apr 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009eguga..11..867p&link_type=abstract
"EGU General Assembly 2009, held 19-24 April, 2009 in Vienna, Austria http://meetings.copernicus.org/egu2009, p.867"
Mathematics
Logic
Scientific paper
Up until now, attempts to systematically understand the space-time statistical structure of the atmosphere (including precipitation) have been hampered by both inappropriate theoretical frameworks and inadequate, problematic data. On the one hand, the theories have concentrated on classical turbulent fluxes especially the energy and enstrophy fluxes which are only justified with strong but unrealistic isotropy assumptions: on the contrary, the real atmosphere is strongly anisotropic (stratified) but nevertheless scaling. On the other hand, if we restrict our attention to the wind, temperature and other standard meteorological fields, then only very narrow ranges of space-time scales are empirically accessible. If the stratification is scaling, then atmospheric dynamics can be governed by anisotropic cascades of nonstandard turbulent fluxes. In this generalized scaling framework we expect scaling relations of the (generalized) Kolmogorov form to hold: F(L) = e(L) L**H where F(L) is the fluctuation in a field at scale L and H is a scaling exponent and e(L) is the underlying resolution L flux. We use this approach to estimate e(L) and then to systematically degrade it to lower and lower resolutions. The cascade hypothesis predicts that
Lovejoy Shaun
Pinel J.
Schertzer Daniel
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