Dr. Matteo Giacomini is a postdoctoral researcher in Prof. Huerta’s group. He holds a BS and a MS in Mathematical Engineering from Politecnico di Milano. During his PhD in Applied Mathematics at École polytechnique, Université Paris-Saclay, he developed fully-computable a posteriori error estimators for finite element-based shape optimization problems. He currently works on high-fidelity discretization and model order reduction techniques with applications to computational fluid dynamics.

The majority of today’s commercial softwares for CFD simulations relies on either cell-centered or vertex-centered finite volume approximations.

After recalling the interpretation of these schemes in the framework of low-order finite element methods, a new finite volume paradigm based on collocating the unknowns on the edges in 2D (respectively, faces in 3D) of the mesh elements is described. Numerical experiments are presented to show the potentialities of the method in efficiently solving large-scale problems and the precision in evaluating quantities of interest for industrial problems (e.g. the drag force).