Applied Mathematics PhD student at CERMICS, École des Ponts ParisTech and LaCàN, Universitat Politècnica de Catalunya under the joint supervision of Alexandre Ern, Antonio Huerta and Xavier Chateau. The field of interest is the development of Hybrid High-Order (HHO) and Hybridizable discontinuous Galerkin (HDG) methods for the simulation of droplets in complex shear flows.
This PhD has the objective to extend HHO and HDG framework to handle interface problems evolving in time. We focus on the physical burdensome problem of the dynamics of bubbles into a Bingham fluid. Therefore a twofold difficulty: on one hand the physical model, on the other hand the numerical analysis. In particular, we rely on fictitious domain methods (level set tecnique) to describe the moving interface.
CERMICS, École Nationale des Ponts et Chaussées
6 et 8, av. Blaise Pascal
Cité Descartes - Champs-sur-Marne
77455 Marne-la-Vallée cedex 2