The two-dimensional Navier Stokes equations are often used as a model for describing turbulence in the atmosphere. Indeed, atmospheric phenomena are confined in a layer of fluid whose dimensions are only a few kilometers in the vertical direction and thousands of kilometers in the horizontal directions. Even if this model cannot completely describe the complexity of the atmosphere, two dimensional simulations can still be used to mimic large-scale structures motion in the atmosphere. Quite recently H. Kellay et. al designed a new physical experiment: a thermal convection cell composed by a half soap bubble heated at the equator. This device allowed them to study thermal convection and the movement of vortices on the surface of the bubble. The purpose of this talk is to present the mathematical model and the numerical simulations of this hemispherical bubble heated at the equator and to compare the results to known behavior in classical Rayleigh-Benard convection in three (or two) dimensional containers.