Nonlinear stabilization for Euler equations This project is about viscous regularizations of the compressible Euler equations. The finite element discretization is stabilized using artificial viscosity operators. Invariant domain preserving schemes The aim of the project is to construct positivity, maximum principle, and invariant domain preserving continuous finite element methods for nonlinear conservation laws. Incompressible flows The incompressible Navier-Stokes equations are solved using continuous finite element approximation. Miscellaneous projects The collection of various projects in computational fluid dynamics