On the Dissipative Effects of Riemannian Waves Interactions for Vorticity Convection

A commonality of the Reynolds- Averaged Navier-Stokes codes developed on the conservative laws formulations in pressure-velocity variables is the deficiency in vorticity transport. Typically, the reasons for this deficiency are looked mainly in the grid resolution and the embedded numerical viscosity. A new look into the correlations between Riemann solvers, spatial reconstruction methods and temporal schemes is proposed in this paper.