Td. Dreeben et Sb. Pope, PROBABILITY DENSITY-FUNCTION MONTE-CARLO SIMULATION OF NEAR-WALL TURBULENT FLOWS, Journal of Fluid Mechanics, 357, 1998, pp. 141-166
Probability density function (p.d.f.) methods are extended to include
modelling of wall-bounded turbulent flows. A p.d.f near-wall model is
developed in which the generalized Langevin model is combined with a m
odel for viscous transport. This provides exact treatment of viscous i
nhomogeneous effects, and enables consistent imposition of the no-slip
condition in a particle framework. The method of elliptic relaxation
is combined with additional boundary conditions and with the generaliz
ed Langevin model to provide an analogy for the near-wall fluctuating
continuity equation. This provides adequate representation of the near
-wall anisotropy of the Reynolds stresses. The model is implemented wi
th a p.d.f./Monte Carlo simulation for the joint p.d.f. of velocity an
d turbulent frequency. Results are compared with DNS and experimental
profiles for fully developed turbulent channel flow.