Directed Relation Graph with Error Propagation (DRGEP)

The DRGEP (Directed Relation Graph with Error Propagation) method calculates the contribution of all species and reactions on the production rate of the targeted species. First, the rate of direct inter-relation between two species A and B is calculated :

$r_{A-B}={\frac {\sum _{j=1}^{N_{r}}|\nu _{Aj}{\dot {Q}}_{j}\delta _{B_{j}}|}{\sum _{j=1}^{N_{r}}|\nu _{Aj}{\dot {Q}}_{j}|}}$

Then the indirect rate of a species D on A :

$r_{AD}=$

The DRGEP repertory contains two files :

- drgep.cpp

- drgep.h

where the DRGEP analysis of species and reactions is defined through the following functions :

• drgep_species :

Calculates the rate of direct inter-relation between species r_AB and the indirect one r_AD

• drgep_reaction :

Calculates the impact of each reaction on the creation and destruction of the target species

• drgep_0D_species :

Runs the analysis of drgep_species for 0D auto-ignition or multiple inlet regime

• drgep_0D_reactions :

Runs the analysis of drgep_reaction for 0D auto-ignition or multiple inlet regime

• drgep_1D_species :

Runs the analysis of drgep_species for 1D premix regime

• drgep_1D_reactions :

Runs the analysis of drgep_reaction for 1D premix regime