Cook 1997: A laminar flamelet approach to subgrid-scale chemistry in turbulent flows
Reaction model
We solve the flamelet equations for
All other thermochemical quantites can then be computed from
This can be considered the flamelet reaction model.
Mixing model
Average quantities are computed by convolving over the joint pdf:
The joint pdf is modeled assuming independence between
This gives
RANS
where
LES
The turbulent diffusivity
- See Pierce 1998
- See also Knudsen 2012
Dissipation pdf
- The scalar dissipation rate pdf is sometimes modeled as a lognormal distribution:
- In this case, the distribution depends on the mean and variance.
- See Heyl and Bockhorn 2001
- They used a constant variance.
Flamelet Progress Variable (FPV) models
- Instead of parameterizing the flamelets in terms of
and , the FPV model parameterize in terms of and a progress variable. - Selected references: