Symmetry-preserving discretizations applied to Large-Eddy Simulation techniques in Navier-Stokes equations

Abstract

Direct Numerical Simulations of the incompressible Navier-Stokes equations for relatively high Reynolds numbers, as required for airfoils, are extremely expensive in terms of number of CPUs as well as processing time. Thus, small-scale modelling is a clever way to reduce this cost by introducing an extra dissipation in the form of a turbulent viscosity. In this thesis, the turbulence phenomenon is reviewed, from both theoretical and technical points of view, and applied to a turbulent Lid-Driven Cavity. In order to do so, different eddy viscosity models are applied in a Large Eddy Simulation formulation melded into a symmetrypreserving discretization that presents the optimal conditions for turbulence simulation. In fact, S3PQ model developed by CTTC is used and tested in a Lid-Driven Cavity at Re = 10000, provided its remarkable turbulent properties, in which the properties of a turbulent boundary layer are studied and compared to the theoretical approach, previously developed.