Consequences of symmetries on the analysis and construction of turbulence models

Abstract:
Each symmetry of Navier-Stokes equations has a physical role in the description of a fluid flow (conservation laws, wall laws, ...). However, as shown by Oberlack, many existing turbulence models do not respect these symmetries. In this communication, a class of models which preserve the symmetry group of Navier-Stokes equations, with or without a stratification term, is proposed. In addition, this class is refined such that the models do not induce a negative dissipation.