A novel method for chemistry tabulation of strained premixed/stratified flames based on principal component analysis

doi:10.1007/s10483-018-2326-6

Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (6): 855-866.doi: https://doi.org/10.1007/s10483-018-2326-6

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A novel method for chemistry tabulation of strained premixed/stratified flames based on principal component analysis

Peng TANG^1,2, Hongda ZHANG³, Taohong YE¹, Zhou YU¹, Zhaoyang XIA¹

1. Department of Thermal Science and Energy Engineering, University of Science and Technology of China, Hefei 230027, China;
2. School of Mechatronics Engineering, Chizhou University, Chizhou 247000, Anhui Province, China;
3. Shenyang Engine Research Institute, Aero Engine(Group) Corporation of China, Shenyang 110015, China

Received:2017-07-20 Revised:2017-10-25 Online:2018-06-01 Published:2018-06-01
Contact: Taohong YE E-mail:thye@ustc.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 91441117 and 51576182) and the Natural Key Program of Chizhou University (No. 2016ZRZ007)

Abstract

Abstract:

The principal component analysis (PCA) is used to analyze the high dimensional chemistry data of laminar premixed/stratified flames under strain effects. The first few principal components (PCs) with larger contribution ratios are chosen as the tabulated scalars to build the look-up chemistry table. Prior tests show that strained premixed flame structure can be well reconstructed. To highlight the physical meanings of the tabulated scalars in stratified flames, a modified PCA method is developed, where the mixture fraction is used to replace one of the PCs with the highest correlation coefficient. The other two tabulated scalars are then modified with the Schmidt orthogonalization. The modified tabulated scalars not only have clear physical meanings, but also contain passive scalars. The PCA method has good commonality, and can be extended for building the thermo-chemistry table including strain rate effects when different fuels are used.

Key words: approximate inertial manifolds, infinite dimensional dynamical Systems, strain rate, stratified flame, principal component analysis (PCA), chemistry table, premixed flame

2010 MSC Number:

80A25
62H25

Peng TANG, Hongda ZHANG, Taohong YE, Zhou YU, Zhaoyang XIA. A novel method for chemistry tabulation of strained premixed/stratified flames based on principal component analysis. Applied Mathematics and Mechanics (English Edition), 2018, 39(6): 855-866.

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A novel method for chemistry tabulation of strained premixed/stratified flames based on principal component analysis

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