TOWARD CONSISTENT FORMULATION OF REYNOLDS STRESS AND SCALAR FLUX CLOSURES

Langevin stochastic differential equations provide a consistent basis for Reynolds stress, scalar transport and p.d.f. models. However, the stochastic equations must be capable of representing existing closures , like the General Linear Model, or the Rotta and Monin return to isot ropy formulations. A consistent approach to derive both Reynolds stres s and scalar flux transport equations, starting from a stochastic diff erential equation for velocity fluctuations, is presented here. A set of algebraic relations for the dispersion tensor is derived for homoge neous shear flow and for the log-layer.