Abstract: The high dimensional flamelet data including the influence of strain rate is obtained by solving a physically simplified laminar premixed methane/air counterflow equation under different equivalent ratios. For evaluating the interaction of flow and combustion properly，the principal component analysis(PCA)is used to study the high dimensional flamelet data. The first two principal components are used as the tabulated scalars to build the thermo-chemical table considering the effects of strain rate in strained laminar premixed flame. Comparing with the traditional chemistry tabulation method for strained laminar premixed flame，the two scalars obtained by PCA are not relevant，therefore，the conditional probabilities are not required any more. Additionally，PCA method has well commonality and could be extended for building the thermo-chemical table under the condition of different fuel and equivalent ratios.

Key words: Premixed flame；Strain rate；Laminar flame；Thermodynamics

摘要： 通过求解物理空间上简化的层流甲烷/空气对撞预混火焰面方程，获得不同当量比下考虑拉伸效应的火焰面高维数据。为更准确地描述流动与燃烧的相互作用，采用基于矩阵分析的主成分分析法(PCA)对火焰面高维数据进行分析，并选用分析出的前两个主成分作为新的建表特征标量，进而构建考虑拉伸效应的层流预混火焰化学热力学表。相比于已有的拉伸层流预混火焰面建表方法，使用PCA方法得到的两个建表特征标量之间不相关，无需条件概率密度信息。同时PCA方法具有一定的通用性，可以推广到不同燃料不同当量比下的拉伸层流预混火焰面建表中。

关键词: 预混火焰；拉伸率；层流火焰；热力学