Directed Relation Graph with Error Propagation (DRGEP)

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The DRGEP (Directed Relation Graph with Error Propagation[1]) method calculates the contribution of all species and reactions on the production rate of the targeted species. We present here a modified method[2] from the original one[1]. First, the influence of a species B on the consumption/production of a target species A is calculated :

with :

and the rate of reaction j. Next, the indirect impact of a species D on A is also considered :



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 and the indirect one

  • 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


Bibliography

  1. 1.0 1.1 T. Lu and C. K. Law. A directed relation graph method for mechanism reduction. Proceedings of the Combustion Institute, 30(1):1333–1341, 2005
  2. N. Jaouen. An automated approach to derive and optimise reduced chemical mechanisms for turbulent combustion