Numerical simulation of inertial effects in Newtonian flows: Application to the filling stage of the die-casting process

International audienceAn updated Lagrangian formulation is used to solve the Navier-Stokes equations. An integration scheme explicit in space and implicit in acceleration allows for the obtaining of a linear incremental fluid flow problem in terms of velocity. To treat complex flow geometry, a finite-element approximation is used as a space discretization