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Please use this identifier to cite or link to this item: http://hdl.handle.net/10481/22401

Title: Exact Averaging of Atmospheric State and Flow Variables
Authors: Kowalski, Andrew S.
Issue Date: May-2012
Abstract: A new set of averaging rules is put forward that exactly determines the means of air temperature, mixing ratio, and velocity by incorporating weighting factors in accordance with physical conservation laws. For the temperature and velocity, respectively, the means calculated according to these rules are shown to be in accordance with the gas law and the most fundamental definition from classical mechanics. By contrast, those reckoned according to traditional arithmetic averaging rules are found to be incorrect. For studies of eddy transport, and micrometeorology in particular, such imprecisely determined averages of state and flow variables bias the perturbation variables over the entire averaging domain and thereby skew estimates of mass, heat, and momentum exchange unless appropriate adjustments (such as density corrections) are applied. The exact calculation of gas-phase averages amends this problem and is equally applicable to planetary-, synoptic-, and mesoscale averaging, as well as to climatology.
Sponsorship: This work was supported by funds from the Andalusian regional government (Project GEOCARBO, P08-RNM-3721), Spanish Science Ministry projects (ICOS-Spain, AIC10-A-00474; Carbored-2, CGL2010-22193-C04-02), and the European Community 7th Framework Program project GHG-Europe (Grant Agreement 244122).
Publisher: American Meteorological Society
Keywords: Atmosphere-land interaction
Biosphere-atmosphere interaction
Climate variability
Conservation equations
Mass fluxes/ transport
Surface fluxes
URI: http://hdl.handle.net/10481/22401
ISSN: 0022-4928
1520-0469 (online)
Rights : Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License
Citation: Kowalski, Andrew S. Exact averaging of atmospheric state and flow variables. Journal of the Atmospheric Sciences 69(5): 1750–1757 (2012). [http://hdl.handle.net/10481/22401]
Appears in Collections:OpenAIRE (Open Access Infrastructure for Research in Europe)

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