Attenuating artificial dissipation in the computation of Navier-Stokes turbulent boundary layers

We propose a new formulation of the fourth-difference artificial dissipation coefficient needed for the Navier-Stokes solutions. This coefficient is scaled by a damping function which is expressed in terms of the Baldwin-Lomax algebraic turbulence model. The suggested scaling function damps the artificial dissipation across the boundary layer. The objective of this paper is to test the ability of the suggested damped scaling coefficient lo provide (a) a given accuracy on a coarser grid; and (b) an accurate computing of turbulent boundary layers. To accomplish this, attached and separated transonic flows over the NACA 0012 airfoil, and turbulent flow over a flat plate have been considered.