A New Dynamical Subgrid Model for the Planetary Surface Layer. Part II: Analytical Computation of Fluxes, Mean Profiles, and Variances

Abstract

A new dynamical subgrid model for turbulent flow is used to derive the structure of the heat and momentum fluxes, mean wind and temperature profiles, and temperature and velocity variances, as a function of the Richardson number, in the surface layer of the planetary boundary layer. Analytical solutions are obtained for stationary, homogeneous surface layers and are compared with field observations. The theory allows for analytic nonperturbative solutions in any turbulent surface layer and can be generalized in a straightforward fashion to include other effects, for example, rotation, and thus could potentially be used to estimate momentum and temperature fluxes in the planetary boundary layer for larger-scale (e.g., climate) models.