Parameterizations for convective transport in various cloud-topped boundary layers
Abstract. We investigate the representation of convective transport of atmospheric compounds that can be applied in large-scale models. We focus on three key parameterizations that, when combined, express this transport: the area fraction of transporting clouds, the upward velocity in the cloud cores and the chemical concentrations at the cloud base. The first two parameterizations combined represent the mass flux by clouds. To investigate the key parameterizations under a wide range of conditions, we use Large-Eddy Simulation model data for 10 meteorological situations, characterized by either shallow cumulus or stratocumulus clouds. In the analysis of the area fraction of clouds, we (i) simplify the independent variable used for the parameterization, Q1, by considering the variability in moisture rather than in the saturation deficit. We show that there is an unambiguous dependence of the area fraction of clouds on the simplified Q1, and update the parameters in the parameterization to account for this simplification. We (ii) further demonstrate that the independent variable has to be evaluated locally to capture cloud presence. Furthermore, we (iii) show that the area fraction of transporting clouds is not represented by the parameterization for the total cloud area fraction, as is currently applied in large-scale models. To capture cloud transport, a novel active cloud area fraction parameterization is proposed. Subsequently, the scaling of the upward velocity in the clouds' core by the Deardorff convective velocity scale and the parameterization for the concentration of atmospheric reactants at cloud base from literature are verified and improved by analyzing 6 SCu cases. For the latter, we additionally discuss how the parameterization is affected by wind conditions. This study contributes to a more accurate estimation of convective transport in large-scale models, which occurs there at sub-grid scale.