Systematic definition of progress variables and Intrinsically Low-Dimensional, Flamelet Generated Manifolds for chemistry tabulation

作者：Najafi Yazdi Alireza^*; Cuenot Benedicte; Mongeau Luc

来源：Combustion and Flame, 2012, 159(3): 1197-1204.

DOI：10.1016/j.combustflame.2011.10.003

• Chemistry tabulation
• Flamelet methods
• Flamelet Generated Manifold
• Turbulent combustion

A systematic method to define progress variables for chemistry tabulation is presented. The method is based on a Principal Component Analysis (PCA) of species mass fractions in the composition space. Analogous to an eigenvalue analysis of the Intrinsic-Low-Dimensional-Manifold method, the present study provides a rigorous mathematical formulation for flamelet-based tabulation methods. In addition, the method yields the minimum number of linearly independent progress variables for a user-prescribed desirable accuracy. Hence, the flamelet-based tabulations created with the new approach is called Intrinsically Low-Dimensional, Flamelet Generated Manifolds (IL-FGM). This approach is used to define progress variables for sample mono-dimensional, and multi-dimensional flamelet libraries of CH4-air combustion. The results show that the flamelets are tabulated and retrieved with better accuracy using the new method than those tabulated using ad hoc progress variables.

• 出版日期2012-3