Michele Giuliano Carlino, PhD
My name is Michele Giuliano, but for everyone I'm simply Giuliano.
I am postdoctoral fellow at the Department of Mathematics and Computer Science of the University of Ferrara, supervised by Prof. Walter Boscheri. My current research project concerns the numerical modeling of algorithm for the discretization of solution of partial differential equations for conservation laws.
My ongoing research is on high-order numerical methods for hyperbolic and elliptic differential problems spatially discretized through meshes with Voronoi tasselation or Chimera\Overset type. In particular, my activities are mainly focused on the combination of Virtual Element Methods and Finite Volume approaches. This choice is led by the possibility of having polygons as cells in the mesh partition. The study is mainly concentrated in numerical model definition, and applications include the main equations of computational fluid-dynamics, such as shallow water equations and incompressible Navier-Stokes equations. This research will be partially conducted at the University of Bordeaux, in collaboration with DR Raphaël Loubere.
I have a PhD in Applied Mathematics and Scientific Computing. It was achieved at University of Bordeaux and INRIA Bordeaux Sud-Ouest under the supervision of CR Michel Bergmann and Prof. Angelo Iollo. During the PhD, I studied ALE ADER-like methods for the incompressible Navier-Stokes equations by discretizing the space through Chimera/Overset meshes. In addition, during this period, I was visiting researcher at Optimad Engineering in Turin.
I was previosuly postdoc fellow at INRIA Bordeaux Sud-Ouest in team lead by CR Mario Ricchiuto and under the supervision of Dr. E. Gaburro. My research of that period adresses to structure preserving schemes for conservation laws on manifolds.
Other topics related to my reserach and pubblications deal with model order reduction and hyper-reduction (e.g. POD, reduced basis, PGD, ...).
Keywords & Scientific Interest:
Numerical Analysis for Partial Differential Equations;
Scientific Computing; Fortran MPI and OpenMP;
Hyperbolic PDEs on manifolds;
ADER Finite Volume schemes and Discontinuous Galerkin methods; well balanced methods;
Incompressible Navier-Stokes Equations;
Moving and overlapping Overset Meshes, Chimera Grids;
Model Order Reduction: Proper Orthogonal Decomposition (POD), Reduced Basis (RB), Proper Generalized Decomposition (PGD).