Residual-Based Variational Multiscale Large Eddy Simulation Of Turbulent Channel Flow

Recently, Calo [V.M. Calo, Residual-based multiscale turbulence modeling, PhD thesis, Stanford University, 2004] devised the so-called residual-based variational multiscale (RB-VMS) formulation for large-eddy simulation, that uses both the scale separation and the coupling terms in the variational multiscale equations. Using arguments from traditional stabilized methods, an approximation for the unresolved part of the solution was constructed and substituted into the resolved-scale coupling terms to obtain a closed system of equations. The resulting formulation was implemented within a ?nite-volume method, and showed promising results. In order to understand if the basic RBVMS formulation and Calo’s approximation for the unresolved scales was transferable to other discretization techniques, an incompressible RBVMS method has been implemented. The method gives results which are at least as good as the more conventional large-eddy simulation methods with which it was compared. However, the unresolved-scale approximation, which constitutes a signi?cant part of the computational work, was seen to produce no better results than those obtained with traditional residual scaling. It was concluded that unresolved-scale approximation still has shortcomings, but that the residual-based approach is a promising method for the future.Engineering MechanicsAerospace Engineerin