A key problem in the numerical model of tropical cyclones.

Abstract

A difficulty in previous numerical experiments on development of tropical cyclones based upon Navier·Stokes hydrodynamic equations is that the growth of cumulus-scale convections in a conditionally unstable atmosphere is so enormous that eventually it obscures large scale motions in the system (Kasahara, 1961; Syono, 1962). It is evident that this growth is not due to a "computational" instability which arises from an incorrect formulation of finite difference equations, but is due to a "physical" instability caused by the released latent heat of condensation in the convective cells.