Three-step LES-C models for flows at high Reynolds numbers

We investigate the need for the second correction step in the recently proposed LES-C models for fluid flows at high Reynolds numbers. These models use a predictor-corrector idea to enhance the efficiency of the existing Large Eddy Simulation models. Different three-step (one defect step, two corrections) LES-C models, based on the Leray- \(\alpha \) $\alpha$ , ADM and NS- \(\omega \) $\omega$ LES models, are tested in three different situations. The new Leray- \(\alpha \) $\alpha$ -C2 model (C2 stands for two correction steps) is applied to the Navier–Stokes equations; the ADC2 is applied to the MagnetoHydroDynamic flow; and the NS- \(\omega \) $\omega$ -C2 is used in the fluid-fluid interaction problem. We evaluate the effectiveness of the second correction step in all these settings, using qualitative and quantitative numerical tests.