A self similar turbulent flame model

This paper is devoted to premixed combustion modelling in turbulent flow. First, we derive a model for the turbulent flame velocity based on the observed self-similarity of the turbulent flame. The model uses the local flame brush width as a fundamental parameter and therefore we show how it can be retrieved for numerical implementation. The diffusive property of the brush width is treated in such a way as to theoretically let the brush have a clearly defined boundary propagating at finite velocity. The model is then numerically tested on three configurations for which the Turbulent Flame Closure model is known to give very good agreement. Some effects of numerics are commented and results for both model are compared. While based on very different approaches the two model lead to substantially similar results, our new model being more robust and potentially more refined but exhibiting some defects close to to the walls.

@TechReport{MO05c,
  author       = {Moreau, V.},
  title        = {A self similar turbulent flame model},
  institution  = {CRS4, Center for Advanced Studies, Research and Development in Sardinia},
  number       = {05/29},
  month        = {september},
  year         = {2005},
  address      = {Cagliari, Italy},
  type         = {techreport},
  keywords     = {CFD, premixed turbulent combustion, self-similarity},
  url          = {https://publications.crs4.it/pubdocs/2005/MO05c},
}