Newtonian Fluid Computations in Lagrangian Variables with a Remeshing Technique. Application to the Filling Stage of the Diecasting Process

International audienceThe Navier Stokes incompressible model is used to describe 2-dimensional metal casting flow. In a die-filling simulation the free moving boundary must be known precisely. For this reason the Lagrangian formulation is chosen instead of the Eulerian one. The computation domain and the velocity field are approached by means of the finite element method. A non-structured mesh is built by using quadratic six-noded triangular elements. In time the mesh degenerates. A remeshing technique, based on the Delaunay algorithm, provides a new computation mesh. As for the application, we present the computation of a die-filling case with low Reynolds number