B. Perot et P. Moin, SHEAR-FREE TURBULENT BOUNDARY-LAYERS .2. NEW CONCEPTS FOR REYNOLDS STRESS TRANSPORT-EQUATION MODELING OF INHOMOGENEOUS FLOWS, Journal of Fluid Mechanics, 295, 1995, pp. 229-245
Models for the dissipation tenser and (slow) pressure-strain terms of
the Reynolds stress transport equations are presented which are applic
able near boundaries. These models take into account the large inhomog
eneity and anisotropy that can be present near walls and surfaces, and
are inspired by the physical insights developed in Part 1 of this pap
er. The dissipation tenser model represents a fundamentally new approa
ch to dealing with turbulence inhomogeneities. The pressure-strain mod
el shows how the classic return-to-isotropy model of Lumley (1978) can
be adapted to the near-wall region. The closure hypotheses underlying
these two models are tested in an a priori fashion using direct numer
ical simulation (DNS) data.