Combustion analysis using Roe's scheme and the Spalart-Allmaras model

The present work describes an efficient computational method for the simulation of turbulent flames. The main three ingredients of the method are the Roe’s schemes, the Spalart & Allmaras 1-equation turbulence model and a general preconditioning technique. These three ingredients are well known to assure accuracy, robustness and generality. The solution of the conservation equa- tions is fully coupled and the method is implemented in a three-dimensional parallel implicit solver. This potentially allows the use of the same mathematical method for the analysis of turbulent reac- tive flows at all speeds. The choice of the Spalart&Allmaras model, as opposed to typical 2-equation models requires particular attention on the derivation of the micro-mixing time. Such a derivation is of fundamental importance, for the micro-mixing time represents the base upon which chemical source terms are built for many combustion models. Deriving a correct model for the micro-mixing time from the only resolved turbulent quantity kinematic eddy viscosity is challenging. In order to test the method, two low-Mach number (0.1-0.2) turbulent reactive flows are simulated using the Eddy Dissipation Model and the results are compared with both experiments and previous numer- ical studies. It is established that the proposed method leads to satisfactory results.

@Article{BTDMH09,
  author       = {Belmrabet, T. and Talice, M. and Delussu, G. and Mulas, M. and hanchi, s.},
  title        = {Combustion analysis using Roe's scheme and the Spalart-Allmaras model},
  journal      = {AIAA Journal},
  number       = {11},
  volume       = {47},
  pages        = {2726-2737},
  month        = {november},
  year         = {2009},
  doi          = {10.2514/1.44331},
  url          = {https://publications.crs4.it/pubdocs/2009/BTDMH09},
}