Abstract
The treatment of eutrophized lake in arid and semi-arid areas is a priority since it concerns water, a scare resources in these areas. The dynamic aeration technique seems to be very interesting to treat this phenomena. The study of the generated two phase flow (water-air bubbles) by classical models leads to many difficulties. In this work, we suggest and compare two simplified models taking into account the aeration effect in the first hand through boundary condition and in the other hand through lumped two phase flow correction term. Both models are built on a finite element approximation combined to characteristic method. Numerical experiments are then performed on a real 2D lake cross section. KEY WORDS Two phase flow, Navier-Stokes, numerical simulation, eutrophication, F.E method, Characteristic method.