Developing a Simple Numerical Model in Moist Air for Studying Cloud Formation Processes in the Tropics

A simple numerical model for demonstrating local cloud formation processes in the tropics is being developed. This paper shows development of a simple numerical model in moist air by a deep convection approximation. The model equations are derived from the fundamental system of partial differential equations of computational fluid dynamics and the deep convection approximation is used to eliminate sound waves. The model domain is two-dimensional with length 100 km and height more than 16 km. The Arakawa-C grid is used for the leapfrog method and forward Euler method. The results of experiments to investigate the error and stability effects of the deep convection approximation and the treatment of velocities at the boundaries are discussed.