The tool of choice in computing turbulent flows of engineering interes
t is the Reynolds averaged Navier-Stokes equations for the mean motion
, coupled with a closure scheme for the unknown higher-order turbulent
correlations. The focus of this paper is to discuss some recent advan
ces in turbulent closure schemes and their application to a weakly com
pressible flow. Specifically highlighted are the development and utili
zation of formulations for obtaining explicit algebraic stress and dis
sipation rate models. Results are presented for the flow over a two-di
mensional single element airfoil as well as the downstream wake flow u
sing the explicit algebraic stress model with a comparison to both exp
eriment and a standard isotropic eddy viscosity model.