1. Non-premixed turbulent combustion (Flamelet Progress Variable Approach (FPVA))

2. Flamelet-based combustion model for compressible flows

3. Source term is highly non-linear
The source term:
with

4. Model algorithm All other quantities Transported variables Temperature
EOS
Mixing rules
NSE
Temperature
Turbulence
Newton iteration
Not looked up from table
Tabulated chemistry
Combustion
Table lookup
Pre-computed chemistry
Chemistry does not account for compressibility effects and viscous heating

5. Flamelet models for non-premixed combustion
The basic assumption is that the chemical time-scales are short enough so that reactions occur in a thin layer around stoichiometric mixture on a scale smaller than the small scales of the turbulence. Physically, the flame structure is locally one-dimensional and depends only on time and on the coordinate normal to the flame front (or on z).
This has two consequences: the structure of the reaction zone remains laminar, and diffusive transport occurs essentially in the direction normal to the surface of stoichiometric mixture. Then, the scalar transport equations can be transformed to a system where the mixture fraction is an independent coordinate.
A subsequent asymptotic approximation leads to the flamelet equations.
The species mass fractions are related to the mixture fraction Z by the solution of the steady flamelet equations, parameterized by the scalar dissipation rate.

6. Compute flamelet equations and create chemistry table from the solutions
Step 1:
Inputs : batesgn.therm (thermodata)
batesgn.trans (transportdata)
batesgn.mech (reactions)
1) CreateBinFile
batesgn.therm
batesgn.trans
thermo.bin
2) ScanMan
batesgn.mech
 batesgn.pre
3) FlameMaster
batesgn.pre
.in (input file with start profile)
 Flamelet solution
Step 2:
Goal : Create chemistry table
Introducing the assumption of a beta-function sub-filter distribution of the mixture fraction leads to
CreateChemTable
Mum/bin/CreateChemTable
Input : CreateChemTable.in
thermo.bin
Flameletlist.txt
Output : table (binary file)

8. Jet in crossflow for combustion
9 species 28 reactions : N2 H O2 O OH H2 H2O HO2 H2O2
Global reaction : H2 + ½ ( N2)  H20 + ½(3.76N2)
fuel + air