CFX provides two Reynolds Stress-
models: the
Omega Reynolds Stress and Baseline (BSL) Reynolds stress models. The
two models relate to each other in the same way as the two equation 
and BSL models. For details, see The Baseline (BSL) k-omega Model.
The Reynolds Stress-
turbulence model, or SMC-
model,
is a Reynolds stress model based on the 
-equation.
The advantage of the 
-equation is that it allows for
a more accurate near wall treatment with an automatic switch from
a wall function to a low-Reynolds number formulation based on the
mesh spacing.
The modeled equations for the Reynolds stresses can be written as follows:
 | (2–110) |
The production due to buoyancy is modeled in the same way as
given in the Equation 2–93 and Equation 2–94. The default value of 
is 0.9 for the Boussinesq buoyancy model
and 1.0 in the full buoyancy model based on density differences.
The Omega Reynolds Stress Model uses the following equation
for 
:
 | (2–111) |
The following coefficients apply:
 | (2–112) |
The coefficients 
and 
of the 
-equation, as well as both the turbulent Prandtl numbers 
and 
, are blended between values from the two sets of constants,
corresponding to the 
-based model constants and the 
-based model constants transformed to an 
-formulation:
 | (2–113) |
Set 1 (SMC-
zone):
(2–114)
The value of
here corresponds to the 
model. For details, see The Wilcox k-omega Model. The von Karman constant 
has a commonly used value of 0.41.Set 2 (SMC-
zone):
(2–115)
The blending of coefficients is done by smooth linear interpolation with the same weight
function F1
as the one used in a
cross-diffusion term of the 
-equation (Equation 2–113):
 | (2–116) |
where 
with:
 | (2–117) |
and
 | (2–118) |
The constitutive relation for the pressure-strain correlation is given by:
 | (2–119) |
The production tensor of Reynolds stresses is given by:
 | (2–120) |
The tensor D ij, participating in the pressure-strain model Equation 2–119, differs from the production tensor in the dot-product indices:
 | (2–121) |
The turbulent viscosity in the diffusion terms of the balance
equations (Equation 2–110 and Equation 2–111) is calculated in the same
way as in the Wilcox 
model. For details, see The Wilcox k-omega Model.
 | (2–122) |
The coefficients for the model are:
