Journal
COMBUSTION AND FLAME
Volume 187, Issue -, Pages 30-41Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.combustflame.2017.08.012
Keywords
Combustion; Nonlinear regression; Local regression; Low-dimensional manifolds; Principal component analysis
Categories
Funding
- European Research Council [714605]
- Federation Wallonie-Bruxelles via 'Les Actions de Recherche Concertee (ARC)'
- European Research Council (ERC) [714605] Funding Source: European Research Council (ERC)
Ask authors/readers for more resources
Large kinetic mechanisms are required in order to accurately model combustion systems. If no parameterization of the thermo-chemical state-space is used, solution of the species transport equations can become computationally prohibitive as the resulting system involves a wide range of time and length scales. Parameterization of the thermo-chemical state-space with an a priori prescription of the dimension of the underlying manifold would lead to a reduced yet accurate description. To this end, the potential offered by Principal Component Analysis (PCA) in identifying low-dimensional manifolds is very appealing. The present work seeks to advance the understanding and application of the PC-transport approach by analyzing the ability to parameterize the thermo-chemical state with the PCA basis using nonlinear regression. In order to demonstrate the accuracy of the method within a numerical solver, unsteady perfectly stirred reactor (PSR) calculations are shown using the PC-transport approach. The PSR analysis extends previous investigations to more complex fuels (methane and propane), showing the ability of the approach to deal with relatively large kinetic mechanisms. The ability to achieve highly accurate mapping through Gaussian Process based nonlinear regression is also shown. In addition, a novel method based on local regression of the PC source terms is also investigated which leads to improved results. (C) 2017 The Combustion Institute. Published by Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available