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

Remi Manceau (1, 2) , J. R Carlson (3) , T. Gatski (3)

1 CNRS - Centre National de la Recherche Scientifique
2 LEA - Laboratoire d'Études Aérodynamiques
3 LaRC - NASA Langley Research Center [Hampton]

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 dissipation 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.

Domaines: Mécanique des fluides [physics.class-ph]

Remi Manceau, J. R Carlson, T. Gatski. A rescaled elliptic relaxation approach: Neutralizing the effect on the log layer. Physics of Fluids, 2002, 14 (11), pp.3868-3879. ⟨10.1063/1.1511547⟩. ⟨hal-02990484⟩