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

AIAA Journal, Volume 47, Number 11, page 2726-2737 - november 2009

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.

## BibTex references

@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},
}

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