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

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.