équations de mouvement de l'air

Abstract

This work focuses on modeling the movement of air while accounting for the condensation of water vapor, using equations derived from fluid mechanics. These equations are nonlinear and generally do not admitanalytical solutions. The main objective is to construct a model that describes the motion of air with phase transitions of water, and to study the existence and uniqueness of solutions for density and temperature under hydrostatic conditions. The thesis also includes a numerical component dedicated to computing these quantities in an intermediate hydrostatic state using the finite difference method. This work highlights the importance of mathematical and numerical modeling in analyzing atmospheric phenomena and understanding the behavior of air under various physical conditions