Statistics of velocity and of pressure-velocity correlations in isotropic turbulence

Some pressure and pressure-velocity correlations in a direct numerical simulations of a three-dimensional turbulent flow at moderate Reynolds numbers have been analyzed. We have identified a set of pressure-velocity correlations which possess a good scaling behavior. Such a class of pressure-velocity correlations is determined by looking at the energy-balance across any sub-volume of the flow. According to our analysis, pressure scaling is determined by the dimensional assumption that pressure behaves as a “velocity squared,” unless finite-Reynolds effects are overwhelming. The SO(3) decompositions of pressure structure functions has also been applied in order to investigate anisotropic effects on the pressure scaling.