A novel method for chemistry tabulation of strained premixed/stratified flames based on principal component analysis |
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Authors: | Peng Tang Hongda Zhang Taohong Ye Zhou Yu Zhaoyang Xia |
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Institution: | 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 |
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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), which have larger contribution ratios, are chosen as the tabulated scalars to build the look-up chemistry table. Prior tests show that the strained premixed flame structure can be well reconstructed. To highlight the physical meanings of the tabulated scalars in the 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 with a mixture fraction. 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. |
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Keywords: | approximate inertial manifolds infinite dimensional dynamical Systems strain rate stratified flame principal component analysis (PCA) chemistry table premixed flame |
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