A Lagrangian finite element method for non-Newtonian free-surface fluid flows and fluid-structure interaction problems

A Lagrangian Finite Element method is applied to the discretization of the Navier-Stokes equations to simulate fluid problems with significant evolution of the free-surfaces. The same approach is also used to treat fluid-structure interaction problems. Both Newtonian and non-Newtonian fluid behaviours are considered. Different examples are performed to show the potentialities of the approach