On the Parameterization of Cumulus Convection by Lateral Mixing and Compensating Subsidence. Part 1

Abstract

Lateral mixing and compensating subsidence of penetrative convection are two different techniques of parameterizing the large-scale effects of deep cumuli. Both methods are jointly derived by averaging the conservative quantities: total and potential heat separately over the area of the hot towers and the environment. If separated, lateral mixing and compensating subsidence are equivalent with respect to their energetical effect integrated over the large-scale system. Due to this fact the fractional area covered by updrafts results in a simple relation.