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In this article on atmospheric conservation equations, A running mean operator is used to average pre-defined signals and to calculate SubGrid-Scale (SGS) contributions. The role of Leonard and Cross terms is studied in relation to the signal spectrum and averaging interval width. The study indicates that these terms can neglected in the estimate of the SGS contribution with a running mean only if a well-marked scale separation is shown. This has consequences on the formal definition of model filters and on atmospheric measurements treatment. The consequences of the assumption of commutativity of averaging and derivative operators in relation to the grid-stretching were also analysed. A correction term has to be accounted depending on the stretching factors used.

Additional information

Authors: GALMARINI S, JRC Ispra (IT);THUNIS P, JRC Ispra (IT)
Bibliographic Reference: Article: Journal of the Atmospheric Sciences (1997)
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