A rescaled elliptic relaxation approach: Neutralizing the effect on the log layer

R. Manceau, J. R. Carlson, T. B. Gatski
2002 Physics of Fluids  
An alternative scaling for the relaxation function describing the velocity pressure-gradient correlation used in the elliptic relaxation procedure for both eddy-viscosity and Reynolds stress models is presented. While other alternatives have been proposed to neutralize the adverse effect on log-layer dynamics, they have relied on altering the original differential formulation. A simpler alternative is presented here that involves a rescaling of the relaxation function with the isotropic
more » ... ion rate as well as the turbulent kinetic energy. Various comparative tests are made and the new rescaled formulation is shown to provide improved and accurate predictions for both the eddy-viscosity and Reynolds stress models. vicinity of the wall, and ⌸ ij a high-Reynolds number pressure-strain rate correlation model. Different ͑high Reynolds number͒ pressure-strain rate models can be used. For example, Wizman et al. 1 compared the results in a channel flow using three different models for ⌸ ij : Launder, Reece, and Rodi, 11 Craft and Launder, 12 and Speziale, Sarkar, and Gatski 13 ͑SSG͒. They have shown that since and ͑any͒⌸ ij model behave as y Ϫ1 along with K constant in the logarith-a͒ Electronic
doi:10.1063/1.1511547 fatcat:syimaj2cvjg6jaoltcrkthpgza