SYMMETRY-PRESERVING REGULARIZATION MODELS OF TURBULENT CHANNEL FLOW

We consider regularizations of the convective term in the Navier-Stokes equations that preserve the con-servation and symmetry properties. These regularizations restrain the production of small scales of motion by vortex stretching in an unconditionally stable manner, meaning that the velocity cannot blow up in the energy-norm (in 2D also: enstrophy-norm). The regularization model is successfully tested for numerical simulations of fully-developed turbulent channel flow (Reτ=180 and Reτ=395)