In a continuing effort to develop a full-physics hurricane model, we have been applying the radical (classical) formulation of thermodynamics to a nonhydrostatic, cloud-resolving, vertical 2--D model on multiple horizontally nested domains. The original theory (Ooyama 1990) of reversible thermodynamics has been extended to include the irreversible precipitation process using parameterized microphysics, and was successfully demonstrated in a simulation of long-lasting squall lines in a sheared atmosphere.
The present paper reports another extension of the theory to the irreversible process of eddy transport in the atmospheric boundary layer. The process is parameterized according to a method that is available in the literature, and a few methods of different complexity will be examined for comparison. From a theoretical point of view, the main problem is the formulation of the eddy process in terms of our prognostic variables, the mass densities of dry air and airborne water, and the moist entropy. The interaction, or interplay, of the boundary layer and the precipitation from resolved convective clouds will be investigated by model simulations.