Parametrization and projection strategies for manifold based reduced kinetic models

Abstract

Abstract The problem of a reduced model formulation for combustion processes is discussed in the present study. For this purpose, different reduced model equations are proposed and applied for the transient regime of a head-on quenching flame. The so-called Reaction-Diffusion manifolds (REDIM) with different reduced model equations are used as an example. The strategies can, however, be applied to other manifold models, too. The results of the computations with detailed kinetics are compared to the results of computations with reduced kinetics. It is shown, that the very common reduced model equation in physical variables with a constant parametrization matrix leads to an error. The reduced model equation in generalized coordinates and an alternative reduced model equation in physical variables presented in this work reproduce the system behavior as expected. Moreover, the differences between the two different reduced model equations in physical variables are discussed.