Second-moment calculation procedure for turbulent flows with collocated variable arrangement

The paper presents a finite-volume calculation procedure using second-moment turbulence closure. A special interpolation technique is employed in connection with a collocated variable arrangement to avoid oscillatory solutions that might otherwise result from inappropriate coupling of the mean velocity, pressure, and Reynolds stress fields. The apparent diffusion fluxes arising from the interpolation procedure ensure numerical stability of the iterative solution process. The application of the second-moment closure model to backward-facing step flows yields slightly improved results as compared with k-ε model predictions. Shortcomings of the current second-moment model are an overproportionally large damping of normal stresses due to inadequacies in the modeling of the pressure-strain terms and the predicted behavior in the reattachment region.