PhD defence of Ali-Malek Boubaya

This thesis is part of the desire to have a numerical framework dealing with complex industrial cases. For this reason, it is necessary to develop new solvers that enrich the library of methods currently used in the team. This desire relies on the will to consider a new approach of interface capturing enabling the obtaining of new information about the physics of the system and bringing numerical robustness.

The phase-field method is based on an energetic approach of the interface separating the phases that which is not the case for the currently used interface capturing method. Furthermore, the method owns good properties to model the capillary action, involved in the wetting, and consider contact angles. Directed by a perspective of industrial applications, this interface capturing aims to be unified with other physical models for a multiphysics characteristic and a multiple applications to the industrial numerical simulation.