Turbulence Modeling of Wall Jets using the Algebraic Structure Based Model

Report PRE-2628. The Algebraic Structure Based Model (ASBM) of Langer and Reynolds (2003) provides an innovative approach for modeling the turbulent stresses, while incorporating information on the structure of turbulence and providing closure for Reynolds-averaged Navier-Stokes equations. The normal turbulent stresses, for which the ASBM has shown superior results, are difficult to replicate using the conventional Boussinesq hypothesis that forms the backbone of common eddy-viscosity models. The results for mean velocities and diagonal turbulent stresses, and the computational cost are kept at an acceptable level to allow the model to compete effectively with common eddy-viscosity models. In this work, the ASBM has been applied to two new validation cases; the plain wall jet of Eriksson et al. (1998) and the slot impinging jet of Zhe and Modi (2001). Encouraging results are obtained for the normal turbulent stresses, while the mean velocities and turbulent shear stress are comparable to the v2f eddy-viscosity model of Lien and Durbin (1996). Also drawbacks of the ASBM are pointed out that emerge from the fact that the model is algebraic and hence relies only on local flow properties.