Consequences of Averaging Operations and Grid Stretching on the 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 be 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 a model filter and on atmospheric measurements treatment. We also analysed the consequences of the assumption of commutativity of averaging and derivative operators in reaction to the grid-streching. A correction term has to be accounted depending on the stretching factors used.
GALMARINI Stefano;
THUNIS Philippe;
1997-08-11
JRC15198
https://publications.jrc.ec.europa.eu/repository/handle/JRC15198,
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