The discrete element method (DEM) is used to predict the properties of a particle curtain created by the three-dimensional granular flow through a hopper constricted by a slit opening. The profiles of the mean and fluctuation velocity components and solid volume fraction within the particle curtain are estimated. The model is validated against experimental measurements of the mean and fluctuation velocity profiles in a granular channel flow. Good agreement is observed between the experimental channel flow measurements and our DEM simulations. The approach is extended to model the behavior of the particle curtain after it exits the hopper. The model predictions suggest that the volume fraction is not uniform across the curtain as expected from experimental results. (C) 2015 Elsevier Ltd. All rights reserved.