A filter-independent model identification technique for turbulent combustion modeling

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Publication Type Manuscript
School or College College of Engineering
Department Chemical Engineering
Creator Sutherland, James Clayton
Other Author Biglari, Amir
Title A filter-independent model identification technique for turbulent combustion modeling
Date 2012-01-01
Description In this paper, we address a method to reduce the number of species equations that must be solved via application of Principal Component Analysis (PCA). This technique provides a robust methodology to reduce the number of species equations by identifying correlations in state-space and defining new variables that are linear combinations of the original variables. We show that applying this technique in the context of Large Eddy Simulation allows for a mapping between the reduced variables and the full set of variables that is insensitive to the size of filter used. This is notable since it provides a model to map state variables to progress variables that is a closed model. As a linear transformation, PCA allows us to derive transport equations for the principal components, which have source terms. These source terms must be parameterized by the reduced set of principal components themselves. We present results from a priori studies to show the strengths and weaknesses of such a modeling approach. Results suggest that the PCA-based model can identify manifolds that exist in state space which are insensitive to filtering, suggesting that the model is directly applicable for use in Large Eddy Simulation. However, the resulting source terms are not parameterized with an accuracy as high as the state variables.
Type Text
Publisher Elsevier
Volume 159
Issue 5
First Page 1960
Last Page 1970
DOI http://dx.doi.org/DOI: 10.1016/j.combustflame.2011.12.024.
Dissertation Institution University of Utah
Language eng
Bibliographic Citation Biglari, A., & Sutherland, J. C. (2012). A filter-independent model identification technique for turbulent combustion modeling. Combustion and Flame, 159(5), 1960-70.
Rights Management (c) Elsevier http://dx.doi.org/[place doi for article here]
Format Medium application/pdf
Format Extent 988,949 bytes
Identifier uspace,17331
ARK ark:/87278/s6p84wmt
Setname ir_uspace
Date Created 2012-08-28
Date Modified 2012-08-28
ID 708053
Reference URL https://collections.lib.utah.edu/ark:/87278/s6p84wmt
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