A high order moment method for the simulation of polydisperse two-phase flows

Aymeric Vié; Frédérique Laurent; Marc Massot

doi:10.1016/j.crme.2012.10.004

Combustion, flow and spray dynamics for aerospace propulsion

A high order moment method for the simulation of polydisperse two-phase flows
[Une méthode de moments dʼordre élevé pour la simulation dʼécoulements diphasiques polydisperses]

Aymeric Vié ^1,² ; Frédérique Laurent ^1,² ; Marc Massot ^1,^2,³

¹ CNRS, UPR 288 – “laboratoire dʼénergétique moléculaire et macroscopique, combustion” (EM2C), grande voie des vignes, 92295 Châtenay-Malabry cedex, France
² Ecole centrale Paris (ECP), grande voie des vignes, 92295 Châtenay-Malabry cedex, France
³ Center for Turbulence Research, Stanford University, CA 94305-4035, USA

Comptes Rendus. Mécanique, Volume 341 (2013) no. 1-2, pp. 55-64.

Résumé
Abstract

Dans ce travail, nous nous intéressons à la modélisation de la polydispersion en taille des sprays et la prise en compte des corrélations taille–vitesse, qui peuvent grandement influencer lʼévaporation et la dynamique de la phase dispersée. Vié et al. (2011) ont proposé un nouveau modèle appelé Coupled Size–Velocity Moment method (CSVM), qui prend en compte la polydispersion avec la stratégie de reconstruction de la NDF proposée dans Kah et al. (2011) pour la distribution en taille, une reconstruction de la vitesse, et des méthodes numériques adaptées pour lʼévolution des moments. Ici, le CSVM est évalué sur une turbulence homogène isotrope figée. Les résultats montrent la capacité de la méthode à capturer toutes les caractéristiques importantes de ce type dʼécoulement avec un nombre minimal de moments. Dès quʼun schéma pour maillages non-structurés sera proposé, le CSVM deviendra une approche intéressante pour des simulations complexes avec des codes industriels.

In this work, we are interested in the modeling of spray polydispersion in size as well as size–velocity correlations, which may greatly influence the evaporation and the dynamics of the disperse phase. Vié et al. (2011) proposed a new model called Coupled Size–Velocity Moment method (CSVM), which handles the polydispersion using the NDF reconstruction proposed in Kah et al. (2011) for size distribution, a velocity reconstruction and adapted numerical methods for moment evolution. Here, the CSVM is evaluated in a frozen homogeneous isotropic turbulence. Results shows the ability of the method to capture the statistical information of a turbulent flow with a minimal number of moments. As soon as a numerical scheme for unstructured grid is provided, the CSVM would be an interesting approach for complex simulations in industrial codes.

Publié le : 2013-01-01

DOI : 10.1016/j.crme.2012.10.004

Keywords: Polydisperse sprays, High order moment method, Entropy maximization, Size–velocity correlations, Homogeneous isotropic turbulence
Mot clés : Sprays polydisperses, Méthode de moments dʼordre élevé, Maximisation dʼentropie, Corrélations taille-vitesse, Turbulence homogène isotrope

Affiliations des auteurs :

Aymeric Vié ^{1, 2} ; Frédérique Laurent ^{1, 2} ; Marc Massot ^{1, 2, 3}

¹ CNRS, UPR 288 – “laboratoire dʼénergétique moléculaire et macroscopique, combustion” (EM2C), grande voie des vignes, 92295 Châtenay-Malabry cedex, France
² Ecole centrale Paris (ECP), grande voie des vignes, 92295 Châtenay-Malabry cedex, France
³ Center for Turbulence Research, Stanford University, CA 94305-4035, USA

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     title = {A high order moment method for the simulation of polydisperse two-phase flows},
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Aymeric Vié; Frédérique Laurent; Marc Massot. A high order moment method for the simulation of polydisperse two-phase flows. Comptes Rendus. Mécanique, Volume 341 (2013) no. 1-2, pp. 55-64. doi : 10.1016/j.crme.2012.10.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.10.004/

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