SPATIAL TRANSPORT OF REYNOLDS STRESSES BY PRESSURE-FLUCTUATIONS

The spatial transport of Reynolds stresses by the pressure fluctuations, the so-called pressure transport, is analyzed by investigating the potential flow equation for the fluctuating pressure. Adopting the convection velocity concept for the unsteady term in the Euler equation, and integrating over space, the pressure-velocity correlation vector is decomposed into a bulk convective transport term (rapid part) and a turbulent diffusion term (slow part). Subsequent modeling of the convection velocity in terms of the intensity of turbulence, skewness, and the velocity scale of large-scale eddies results in a new computational model for the pressure transport.