The vertical-velocity skewness in the atmospheric boundary layer without buoyancy and Coriolis effects

Abstract

One of the main features of near-neutral atmospheric boundary layer (ABL) turbulence is the positive vertical velocity skewness Sk_w above the roughness sublayer or the buffer region in smooth-walls. The Sk_w variations are receiving renewed interest in many climate-related parameterizations of the ABL given their significance to cloud formation and to testing sub-grid schemes for Large Eddy Simulations (LES). The vertical variations of Sk_w are explored here using wind tunnel and flume experiments collected above smooth, rough, and permeable-walls in the absence of buoyancy and Coriolis effects. These laboratory experiments form a necessary starting point to probe the canonical structure of Sk_w as they deal with a key limiting case (i.e. near-neutral conditions). Diagnostic models based on cumulant expansions, realizability constraints, and constant mass flux approach routinely employed in the convective boundary layer as well as prognostic models based on third-order budgets are used to explain variations in Sk for the idealized laboratory conditions. The failure of flux-gradient relations to model Sk_w from the gradients of the vertical velocity variance \sigma_w^2 are explained and corrections based on models of energy transport offered. Novel links between the diagnostic and prognostic models are also featured, especially for the inertial term in the third order budget of the vertical velocity fluctuation. The co-spectral properties of w′/\sigma_w versus w′^2/\sigma_w^2 are also presented for the first time to assess the dominant scales governing Sk_w in the inner and outer layers, where w′ is the fluctuating vertical velocity and \sigma_w is the vertical velocity standard deviation.