Etude theorique et numerique de deux problemes couples stefan-transport; Application au stockage thermique

In this paper, we study a model of thermal energy storage by solid-liquid phase change. Writing the equations reveals Stefan problems and Transport equations. Reducing them to a variational formulation, we get some results about the existence and uniqueness of solutions using different properties of variational inequalities. Then we propose two finite difference methods of approximation (explicit and implicit) and numerical results.