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

作　　者：Peng TANG Hongda ZHANG Taohong YE Zhou YU Zhaoyang XIA 

机构地区：[1]Department of Thermal Science and Energy Engineering,University of Science and Technology of China [2]School of Mechatronics Engineering,Chizhou University [3]Shenyang Engine Research Institute,Aero Engine(Group) Corporation of China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2018年第6期855-866,共12页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.91441117 and51576182);the Natural Key Program of Chizhou University(No.2016ZRZ007)

摘　　要：The principal component analysis （PCA） is used to analyze the high dimen- sional chemistry data of laminar premixed/stratified flames under strain effects. The first few principal components （PCs） with larger contribution ratios axe chosen as the tabu- lated 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 tabu- lated 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.The principal component analysis （PCA） is used to analyze the high dimen- sional chemistry data of laminar premixed/stratified flames under strain effects. The first few principal components （PCs） with larger contribution ratios axe chosen as the tabu- lated 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 tabu- lated 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.

关 键 词：premixed flame stratified flame strain rate principal component analysis（PCA） chemistry table 

分 类 号：O643.21[理学—物理化学]