Sur la modélisation de la stabilité d'une colonne atmosphérique avec gravité dépendant de l'altitude

The measures of the fields of density, pressure and temperature of an atmospheric column are often scarce and sometimes inaccurate, which needs a necessary reconstruction. An original technique of reconstruction with a confined storage reduced to 6 parameters only, is proposed and validated by using a mathematical model with an altitude dependent gravity, and a discretization by an original well-balanced scheme. To cite this article: A.-Y. LeRoux, L. Vignon, C. R. Acad. Sci. Paris, Ser. I 346 (2008).