Comptes Rendus
no. 6-7
Monte Carlo method of radiative transfer applied to a turbulent flame modeling with LES
[Modélisation du rayonnement par Monte Carlo appliquée dans les flammes turbulentes simulées par LES]
Jin Zhang1  ; Olivier Gicquel1  ; Denis Veynante1  ; Jean Taine1
1 EM2C Laboratory, CNRS-UPR 288, École centrale Paris, grande voie des vignes, 92295 Châtenay-Malabry cedex, France
Comptes Rendus. Mécanique, Volume 337 (2009) no. 6-7, pp. 539-549.

Le transfert radiatif joue un rôle important dans la simulation numérique de la combustion turbulente. Toutefois, à cause du fait que la combustion et le rayonnement sont deux phénomènes physiques très différents caractérisés par des échelles de temps et d'espace également différentes, l'effet du rayonnement est souvent négligé ou simplement modélisé. Le couplage entre la combustion (LES) et le rayonnement avec le solveur CORBA a été étudié. Dans le présent article, deux formulations de la méthode de Monte Carlo (méthode classique et méthode réciproque) dédiées à la résolution de l'équation de transfert radiatif ont été comparées sur un cas test de flamme 1D où l'on tient compte de l'absorption et de l'émission du milieu en utilisant un maillage 3D. Le but de ce cas test est de valider le solveur Monte Carlo et de choisir la méthode la plus efficace pour réaliser le couplage. Ensuite, deux solveurs radiatifs (Emission Reciprocity Monte Carlo Method et Discrete Ordinate Method), appliqués à une flamme Dièdre 3D avec un modèle CK de propriétés radiatives, sont comparés non seulement en termes de description physique de la flamme, mais aussi en terme de performances de calcul (stockage, temps CPU et efficacité de la parallélisation).

Radiative transfer plays an important role in the numerical simulation of turbulent combustion. However, for the reason that combustion and radiation are characterized by different time scales and different spatial and chemical treatments, the radiation effect is often neglected or roughly modelled. The coupling of a large eddy simulation combustion solver and a radiation solver through a dedicated language, CORBA, is investigated. Two formulations of Monte Carlo method (Forward Method and Emission Reciprocity Method) employed to resolve RTE have been compared in a one-dimensional flame test case using three-dimensional calculation grids with absorbing and emitting media in order to validate the Monte Carlo radiative solver and to choose the most efficient model for coupling. Then the results obtained using two different RTE solvers (Reciprocity Monte Carlo method and Discrete Ordinate Method) applied on a three-dimensional flame holder set-up with a correlated-k distribution model describing the real gas medium spectral radiative properties are compared not only in terms of the physical behavior of the flame, but also in computational performance (storage requirement, CPU time and parallelization efficiency).

Publié le :
DOI : 10.1016/j.crme.2009.06.024
Keywords: Combustion, Monte Carlo, Radiative transfer, LES, Turbulent combustion, Coupling work
Mot clés : Combustion, Monte Carlo, Transfer radiatif, LES, Combustion Turbulente, Couplage
Jin Zhang 1 ; Olivier Gicquel 1 ; Denis Veynante 1 ; Jean Taine 1

1 EM2C Laboratory, CNRS-UPR 288, École centrale Paris, grande voie des vignes, 92295 Châtenay-Malabry cedex, France 
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Jin Zhang; Olivier Gicquel; Denis Veynante; Jean Taine. Monte Carlo method of radiative transfer applied to a turbulent flame modeling with LES. Comptes Rendus. Mécanique, Volume 337 (2009) no. 6-7, pp. 539-549. doi : 10.1016/j.crme.2009.06.024. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.06.024/

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