Donner, L. J., 1993: Radiative interactions with convective systems: implications for cumulus parameterization. In IRS '92: Current Problems in Atmospheric Radiation, Hampton, VA; A. Deepak Publishing, 27-31.

Abstract: The requirements which must be satisfied by cumulus parameterizations, if they are to be useful for treating cloud-radiative interactions involving convective systems, are considered. The primary requirement for a cumulus parameterization to calculate the large-scale tendencies of temperature and humidity is the distribution of mass fluxes associated with the parameterized ensemble. To understand radiative transfer in a convective system, the areas and microphysical properties of the cumulus ensemble must be known. A basis for their evaluation is provided by simultaneously determining the distribution of both mass fluxes and vertical velocities in a cumulus ensemble. Treating radiative-convective interactions also requires that the mesoscale stratiform circulations associated with deep convection be represented. A parameterization which satisfies these criteria is discussed.