A novel principal component analysis-based acceleration scheme for LES-ODT: An a priori study

Hessam Mirgolbabaei, Tarek Echekki

Research output: Contribution to journalArticlepeer-review

42 Scopus citations


A parameterization of the composition space based on principal component analysis (PCA) is proposed to represent the transport equations with the one-dimensional turbulence (ODT) solutions of a hybrid large-eddy simulation (LES) and ODT scheme. The 1D ODT solutions are embedded in the 3D LES domain and solve for thermo-chemical scalars; while, the LES governing equations solve for the flow. An a priori validation of the proposed approach is implemented based on stand-alone ODT solutions of the Sandia Flame F, which is characterized by different regimes of combustion starting with pilot stabilization, to extinction and reignition and self-stabilized combustion. The PCA analysis is carried out with a full set of the thermo-chemical scalars' vector as well as a subset of this vector. The subset is made up primarily of major species and temperature. The results show that the different regimes are reproduced using only three principal components for the thermo-chemical scalars based on the full and a subset of the thermo-chemical scalars' vector. Reproduction of the source term of the principal components represents a challenge, because of the inherent non-linearity of reaction rates' expressions. It is found that using the subset of the thermo-chemical scalars' vector both minor species and the first three principal components source terms are reasonably well predicted.

Original languageEnglish (US)
Pages (from-to)898-908
Number of pages11
JournalCombustion and Flame
Issue number5
StatePublished - May 2013
Externally publishedYes

Bibliographical note

Funding Information:
The work was supported by the National Science Foundation grant DMS-1217200.


  • Principal component analysis
  • The one-dimensional turbulence model
  • Turbulent flames


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