Section: New Results

Newtonian fluid flows simulations and their analysis

• Development of a high-order (third order in time and space) level-set method which allow to compute consistently the curvature of the interface even for long times (L. Weynans, F. Luddens and M. Bergmann)

• Development of a sharp cartesian method for the simulation of incompressible flows with high density ratios, like air-water interfaces. This method is inspired from the second-order cartesian method for elliptic problems with immersed interfaces developed in Cisternino-Weynans [69]

• Study of the convergence in 1D and 2D of the method developed in Cisternino-Weynans [69]