Une méthode de simulation d'écoulements diphasiques sans reconstruction d'interfaces

We develop a technique for computing incompressible two-phase flows on a fixed grid without using any interface reconstruction procedure. We discuss the grounds, the motivations and the advantages of such an approach and we present several tests of validation, especially concerning the constitutive law for the viscosity. We finally show that the method is able to reproduce the essential features of the flow induced by the rise of a Taylor bubble in a vertical tube.