M. Ashton and F. Valentin, Mixing of powders and particles in industrial mixers, Transactions of the institution of chemical engineers and the chemical engineer, vol.44, p.166, 1966.

F. Bertrand, L. A. Leclaire, and G. Levecque, DEM-based models for the mixing of granular materials, Chemical Engineering Science, vol.60, pp.2517-2531, 2005.

X. Chen, J. Wang, and J. Li, Multiscale modeling of rapid granular flow with a hybrid discrete-continuum method, Powder Technology, vol.304, pp.177-185, 2016.

/. S0032591016304983 and . Doi,

P. A. Cundall and O. D. Strack, A discrete numerical model for granular assemblies, Geotechnique, vol.29, pp.47-65, 1979.

J. Doucet, N. Hudon, F. Bertrand, and J. Chaouki, Modeling of the mixing of monodisperse particles using a stationary DEM-based Markov process, Computers & Chemical Engineering, vol.32, pp.1334-1341, 2008.

Y. Fan, C. P. Schlick, P. B. Umbanhowar, J. M. Ottino, and R. M. Lueptow, Modelling size segregation of granular materials: the roles of segregation, advection and diffusion, Journal of Fluid Mechanics, vol.741, pp.252-279, 2014.

S. Golshan, R. Zarghami, H. R. Norouzi, and N. Mostoufi, Granular mixing in nauta blenders, Powder Technology, vol.305, pp.279-288, 2017.

Q. Hou, K. Dong, and A. Yu, DEM study of the flow of cohesive particles in a screw feeder, Powder Technology, vol.256, pp.529-539, 2014.

C. Kloss, C. Goniva, A. Hager, S. Amberger, and S. Pirker, Models, algorithms and validation for opensource DEM and CFD-DEM. Progress in Computational Fluid Dynamics, an International Journal, vol.12, pp.140-152, 2012.

H. W. Kuhn, The Hungarian method for the assignment problem, Naval Research Logistics (NRL), vol.2, pp.83-97, 1955.

H. Kuo, P. Knight, D. Parker, Y. Tsuji, M. Adams et al., The influence of DEM simulation parameters on the particle behaviour in a V-mixer, Chemical Engineering Science, vol.57, pp.3621-3638, 2002.

P. M. Lacey, Developments in the theory of particle mixing, Journal of applied chemistry, vol.4, pp.257-268, 1954.

M. Lemieux, F. Bertrand, J. Chaouki, and P. Gosselin, Comparative S0263876216000666, 2007.

C. A. Radeke, B. J. Glasser, and J. G. Khinast, Large-scale powder mixer simulations using massively parallel architectures, Chemical Engineering Science, vol.65, pp.6435-6442, 2010.

F. Rendl, On the Euclidean assignment problem, Journal of Computational and Applied Mathematics, vol.23, pp.90001-90006, 1988.

M. Sakai and S. Koshizuka, Large-scale discrete element modeling in pneumatic conveying, Chemical Engineering Science, vol.64, pp.533-539, 2009.

C. P. Schlick, Y. Fan, A. B. Isner, P. B. Umbanhowar, J. M. Ottino et al., Modeling segregation of bidisperse granular materials using physical control parameters in the quasi-2D bounded heap, AIChE Journal, vol.61, pp.1524-1534, 2015.

C. P. Schlick, A. B. Isner, B. J. Freireich, Y. Fan, P. B. Umbanhowar et al., A continuum approach for predicting segregation in flowing polydisperse granular materials, Journal of Fluid Mechanics, vol.797, pp.95-109, 2016.

R. Yang, A. Yu, L. Mcelroy, and J. Bao, Numerical simulation of particle, 2008.