Short Note: Regularization of reaction progress variable for application to flamelet-based combustion models

  • Authors:

  • Matthias Ihme;Lee Shunn;Jian Zhang

  • Affiliations:

  • Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI 48109, United States;Cascade Technologies Inc., Palo Alto, CA 94303, United States;LNM, Institute of Mechanics, CAS, Beijing 100190, China

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2012

Quantified Score

Hi-index 31.45

Visualization

Abstract

Many combustion models that are based on the flamelet paradigm employ a reaction progress variable. While such a progress variable is well defined for one-step reaction kinetics, this is typically not the case for complex chemical mechanisms. Consequently, several expressions for a progress variable have been utilized. In this paper a formal method for the generation of a reaction progress variable is proposed that is optimal with respect to a set of constraints. The potential of the method is demonstrated in applications to partially premixed and diffusion flames, and the extension to premixed combustion is discussed. It is shown that the proposed method can lead to significant improvements in the definition of an optimal progress variable over conventional formulations, essentially eliminating the expert knowledge previously required in identifying such quantities.