On the approximation of turbulent fluid flows by the Navier-Stokes-$\alpha$ equations on bounded domains

Juan Vicente Gutiérrez-Santacreu, Marko Antonio Rojas-Medar

The Navier-Stokes-$\alpha$ equations belong to the family of LES (Large Eddy Simulation) models whose fundamental idea is to capture the influence of the small scales on the large ones…