Contribution à la simulation numérique des écoulements non permanents en milieu poreux

The present article is a contribution to the study of unsteady, nonlinear, Darcy flow through porous media by use of a finite element approximation. Many mathematical models proposed assume that the acceleration is small and has nearly the same orientation as the velocity. Those hypotheses seem to be debatable in breakwater studies. A new treatment of the relevant equations is presented and the determination of the free surface is made by the residual flow scheme.