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

Aymeric Vié (1) , Frédérique Laurent (1) , Marc Massot (1, 2)

1 EM2C - Laboratoire d'Énergétique Moléculaire et Macroscopique, Combustion
2 CTR - Center for Turbulence Research [Stanford]

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 at al. 2011 for size distribution, a velocity reconstruction and adapted numerical methods for moments 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.

Mots clés: Polydisperse sprays; high order moment method; Entropy Maximization; size-velocity correlations; Homogeneous Isotropic Turbulence

Domaines: Milieux fluides et réactifs; Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Aymeric Vié, Frédérique Laurent, Marc Massot. A high order moment method for the simulation of polydisperse two-phase flows. Comptes Rendus Mécanique, 2013, Combustion, Flow and Spray Dynamics for Aerospace Propulsion, pp.1-10. ⟨10.1016/j.crme.2012.10.004⟩. ⟨hal-00773327⟩