Td. Dreeben et Sb. Pope, PROBABILITY DENSITY-FUNCTION AND REYNOLDS-STRESS MODELING OF NEAR-WALL TURBULENT FLOWS, Physics of fluids, 9(1), 1997, pp. 154-163
Probability density function (pdf) methods are extended to include mod
eling of wall-bounded turbulent flows. A pdf near-wall model is develo
ped in which the generalized Langevin model is combined with an exact
model for viscous transport. Then the method of elliptic relaxation is
used in incorporate the wall effects without the use of wall function
s or damping functions. Information about the proximity of the wall is
provided only in the boundary conditions so that the model can be imp
lemented without ad hoc assumptions about the geometry of the flow. A
Reynolds-stress closure is derived from this pdf model, and its predic
tions are compared with DNS and experimental results for fully develop
ed turbulent channel flow. (C) 1997 American Institute of Physics.