Transformations for Temperature Flux in Multiscale Models of the Tropics

Details Transformations for Temperature Flux in Multiscale Models of the Tropics Transformations for Temperature Flux in Multiscale Models of the Tropics

Nov 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006thcfd..20..405b&link_type=abstract

Theoretical and Computational Fluid Dynamics, Volume 20, Issue 5-6, pp. 405-420

Statistics

Computation

1

Multiscale Models, Tropical Meteorology, Transformed Eulerian Mean

Scientific paper

How much of the observed planetary-scale heating in the tropics is due to eddy flux convergence? A mathematical framework to address this important practical issue is developed here. We describe a pair of velocity transformations that remove components of the upscale temperature flux in the multiscale intraseasonal, planetary, equatorial synoptic-scale dynamics (IPESD) framework derived by Majda and Klein [J. Atmos. Sci. 60: 393 408, (2003)]. Using examples from the models of the Madden-Julian Oscillation of Biello and Majda [Proc. Natl. Acad. Sci. 101: 4736 4741, (2004); J. Atmos. Sci. 62: 1694 1721, (2005); Dyn. Oceans Atmos., in press] we demonstrate that the transformation for the meridional temperature flux convergence is possible with any restrictions on the heating profile, we show under which conditions the transformation for the vertical temperature flux convergence exists and, further, that the meridional transformation leads to a reinterpretation of lower troposphere Ekman dissipation as active heating plus zonal momentum drag. The meridional temperature flux transformation and induced meridional circulation is a new, tropical wave example of the transformed Eulerian mean theory in the case of strong vertical stratification of potential temperature. The asymptotic ordering of the flows means that the removal of the meridional temperature flux convergence has implications for how planetary-scale heating rates are inferred from velocity convergence measurements.

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