Quadrant analysis of the scalar and momentum fluxes in the stable marine atmospheric surface layer

Abstract

The quadrant technique, a conditional sampling approach that allocates Reynolds stresses into four different types of events (ejections or bursts, sweeps, inward interactions and outward interactions), is applied to stable marine atmospheric boundary-layer data, collected in the framework of the Coupled Boundary Layer Air—Sea Transfer, Low wind component experiment at Nantucket Island, Massachusetts, USA. The general properties of both scalar and momentum transport are analyzed under the scope of quadrant analysis experimentally and theoretically. It is shown that the third-order Gram–Charlier series is necessary and even sufficient in most of the cases, in describing the experimental time and flux contributions of each quadrant to the total transfer, for both scalar and momentum transport, while the ability of the Gaussian distribution is limited to outlining the general pattern of these quantities. Moreover, a threshold value is applied to the conditional analysis, separating the most important events from the less significant ones and the sensitivity of the flux and especially the time fraction of each quadrant on the choice of this value is presented and discussed. Also, a set of numerically extracted equations, completing the analytical relations, is derived, enabling the prediction of the time and flux fractions of each quadrant, for a wide range of correlation coefficient and threshold values. Finally, the sensitivity of the analysis to the atmospheric stability and the Reynolds averaging scales showed that correlated and uncorrelated motions tend to balance for increasingly stable conditions and/or for large time scales.