  We numerically investigate the possibility of defining stabilization-free
Virtual Element (VEM) discretizations of advection-diffusion problems in the
advection-dominated regime. To this end, we consider a SUPG stabilized
formulation of the scheme. Numerical tests comparing the proposed method with
standard VEM show that the lack of an additional arbitrary stabilization term,
typical of VEM schemes, that adds artificial diffusion to the discrete
solution, allows to better approximate boundary layers, in particular in the
case of a low order scheme.
