Advanced regression methods for combustion modelling using principal components

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Publication Type pre-print
School or College College of Engineering
Department Chemical Engineering
Creator Sutherland, James Clayton
Other Author Isaac, Benjamin J.; Thornock, Jeremy N.; Smith, Philip J.; Parente, Alessandro
Title Advanced regression methods for combustion modelling using principal components
Date 2014-01-01
Description Modelling the physics of combustion remains a challenge due to a large range of temporal and physical scales which are important in these systems. Detailed chemical kinetic mechanisms are used to describe the chemistry involved in the combustion process yielding highly coupled partial differential equations for each of the chemical species used in the mechanism. Recently, Principal Components Analysis (PCA) has shown promise in its ability to identify a low-dimensional manifold describing the reacting system. Several PCA-based models have been developed which may be well-suited for combustion problems; however, several challenging aspects of the model must be addressed. In this paper, the parameterization of state-space variables and PC-transport equation source terms are investigated. The ability to achieve highly accurate mapping through various nonlinear regression methods is shown. In addition, the effect of PCA-scaling on the ability to regress the surface is investigated. Finally, the present work demonstrates the capabilities of the model by solving a reduced system represented by several PC-transport equations for a perfectly stirred reactor (PSR) configuration.
Type Text
Publisher Elsevier
First Page 1
Last Page 30
Language eng
Bibliographic Citation Isaac, B. J., Thornock, J. N., Sutherland, J., Smith, P. J., & Parente, A. (2014). Advanced regression methods for combustion modelling using principal components. Combustion and Flame, 1-30.
Rights Management (c) Elsevier ; Authors manuscript from Isaac, B. J., Thornock, J. N., Sutherland, J., Smith, P. J., & Parente, A. (2014). Advanced regression methods for combustion modelling using principal components. Combustion and Flame. http://dx.doi.org/10.1016/j.combustflame.2015.03.008.
Format Medium application/pdf
Format Extent 2,168,601 bytes
Identifier uspace,19402
ARK ark:/87278/s6jq494r
Setname ir_uspace
Date Created 2015-05-04
Date Modified 2015-05-04
ID 713032
Reference URL https://collections.lib.utah.edu/ark:/87278/s6jq494r
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