A. Wachs, L. Girolami, G. Vinay, and G. Ferrer, Grains3D, a flexible DEM approach for particles of arbitrary convex shape-Part I: numerical model and validations, Powder Technology, vol.224, pp.374-389, 2012.
URL : https://hal.archives-ouvertes.fr/hal-02171452

P. A. Cundall and O. D. Strack, A discrete numerical model for granular assemblies, Geotechnique, vol.29, issue.1, pp.47-65, 1979.

P. A. , Formulation of a three-dimensional distinct element model-Part I. A scheme to detect and represent contacts in a system composed of many polyhedral blocks, International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, vol.25, issue.3, pp.107-116, 1988.

D. A. Horner, J. F. Peters, and A. Carrillo, Large scale Discrete Element Modeling of vehicle-soil interaction, Journal of Engineering Mechanics, vol.127, issue.10, pp.1027-1032, 2001.

M. Lemieux, G. Léonard, J. Doucet, L. Leclaire, F. Viens et al., Large-scale numerical investigation of solids mixing in a V-blender using the Discrete Element Method, Powder Technology, vol.181, issue.2, pp.205-216, 2008.

J. H. Walther and I. F. Sbalzarini, Large-scale parallel discrete element simulations of granular flow, vol.26, pp.688-697, 2009.

K. Iglberger and U. Rüde, Massively parallel rigid body dynamics simulations, Computer ScienceResearch and Development, vol.23, issue.3-4, pp.159-167, 2009.

K. Iglberger and U. Rüde, Large-scale rigid body simulations, Multibody System Dynamics, vol.25, issue.1, pp.81-95, 2011.

Y. Shigeto and M. Sakai, Parallel computing of Discrete Element Method on multi-core processors, Particuology, vol.9, issue.4, pp.398-405, 2011.

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

N. Govender, D. N. Wilke, and K. Shalk, Collision detection of convex polyhedra on the NVIDIA GPU arhictecture for the discrete element method, Applied Mathematics and Computation, vol.267, pp.810-829, 2015.

S. Tsuzuki and T. Aoki, Large-scale granular simulations using Dynamic load balance on a GPU supercomputer, Proceedings of the 2014 ACM/IEEE conference on Supercomputing, 2014.

T. Washizawa and Y. Nakahara, Parallel computing of discrete element method on GPU, 2013.

D. Jajcevic, E. Siegmann, C. Radeke, and J. G. Khinast, Large-scale CFD-DEM simulations of fluidized granular systems, Chemical Engineering Science, vol.98, pp.298-310, 2013.

J. Q. Gan, Z. Y. Zhou, and A. B. Yu, A GPU-based DEM approach for modelling of particulate systems, Powder Technology, vol.301, pp.1172-1182, 2016.

J. Xu, H. Qi, X. Fang, L. Lu, W. Ge et al., Quasi-realtime simulation of rotating drum using Discrete Element Method with parallel GPU computing, Particuology, vol.9, issue.4, pp.446-450, 2011.

W. Gropp, E. Lusk, and A. Skjellum, Using MPI (2Nd Ed.): Portable Parallel Programming with the Message-passing Interface, 1999.

R. Berger, C. Kloss, A. Kohlmeyer, and S. Pirker, Hybrid parallelization of the LIGGGHTS opensource DEM code, Powder Technology, vol.278, pp.234-247, 2015.

A. Vajda, Programming many-core chips, 2011.

M. Steuwer and S. Gorlatch, SkelCL: Enhancing OpenCL for High-Level Programming of Multi-GPU Systems, pp.258-272, 2013.

P. Pepiot and O. Desjardins, Numerical analysis of the dynamics of two-and three-dimensional fluidized bed reactors using an Euler-Lagrange approach, Powder Technology, vol.220, pp.104-121, 2011.

P. Gopalakrishnan and D. Tafti, Development of parallel DEM for the open source code MFIX, Powder Technology, vol.235, pp.33-41, 2013.

P. Liu and C. M. Hrenya, Challenges of DEM: I. Competing bottlenecks in parallelization of gas-solid flows, Powder Technology, vol.264, pp.620-626, 2014.

S. Yang, K. Luo, K. Zhang, K. Qiu, and J. Fan, Numerical study of a lab-scale double slot-rectangular spouted bed with the parallel CFD-DEM coupling approach, Powder Technology, vol.272, pp.85-99, 2015.

S. Yang, K. Zhang, and J. W. Chew, Computational study of spout collapse and impact of partition plate in a double slot-rectangular spouted bed, AIChE Journal, issue.12, pp.4087-4101, 2015.

A. Gel, J. Hu, E. Ould-ahmed-vall, and A. A. Kalinkin, Modernization and optimization of a legacy open-source CFD code for high-performance computing architectures, International Journal of Computational Fluid Dynamics, vol.31, issue.2, pp.122-133, 2017.

C. González-montellano, A. Ramirez, E. Gallego, and F. Ayuga, Validation and experimental calibration of 3D discrete element models for the simulation of the discharge flow in silos, Chemical Engineering Science, vol.66, issue.21, pp.5116-5126, 2011.

P. W. Cleary and M. L. Sawley, DEM modelling of industrial granular flows: 3D case studies and the effect of particle shape on hopper discharge, Applied Mathematical Modelling, vol.26, issue.2, pp.89-111, 2002.

P. W. Cleary, Industrial particle flow modelling using discrete element method. Engineering Computations, vol.26, pp.698-743, 2009.

P. W. Cleary, DEM prediction of industrial and geophysical particle flows, Particuology, vol.8, issue.2, pp.106-118, 2010.

A. Ritter, Die fortpflanzung de wasserwellen, Zeitschrift Verein Deutscher Ingenieure, vol.36, issue.33, pp.947-954, 1892.

N. J. Balmforth and R. R. Kerswell, Granular collapse in two dimensions, Journal of Fluid Mechanics, vol.538, pp.399-428, 2005.

C. Ancey, R. M. Iverson, M. Rentschler, and R. P. Denlinger, An exact solution for ideal dam-break floods on steep slopes, Water Resources Research, vol.44, issue.1

E. Lajeunesse, J. B. Monnier, and G. M. Homsy, Granular slumping on a horizontal surface, Physics of Fluids, vol.17, issue.10, 2005.

G. Lube, H. E. Huppert, R. S. Sparks, and A. Freundt, Collapses of two-dimensional granular columns, Phys. Rev. E, vol.72, p.41301, 2005.

L. Girolami, V. Hergault, G. Vinay, and A. Wachs, A three-dimensional discrete-grain model for the simulation of dam-break rectangular collapses: comparison between numerical results and experiments, Granular Matter, vol.14, issue.3, pp.381-392, 2012.
URL : https://hal.archives-ouvertes.fr/hal-02171451

J. B. Knight, C. G. Fandrich, C. N. Lau, H. M. Jaeger, and S. R. Nagel, Density relaxation in a vibrated granular material, Phys. Rev. E, vol.51, pp.3957-3963, 1995.

T. B. Anderson and R. Jackson, Fluid mechanical description of fluidized beds. equations of motion, Industrial & Engineering Chemistry Fundamentals, vol.6, issue.4, pp.527-539, 1967.

T. Kawaguchi, T. Tanaka, and Y. Tsuji, Numerical simulation of two-dimensional fluidized beds using the discrete element method (comparison between the two-and three-dimensional models), Powder Technology, vol.96, issue.2, pp.129-138, 1998.

T. Tsuji, K. Yabumoto, and T. Tanaka, Spontaneous structures in three-dimensional bubbling gasfluidized bed by parallel DEM-CFD coupling simulation, Powder Technology, vol.184, issue.2, pp.132-140, 2008.

M. Bernard, Multi-scale approach for particulate flows, 2014.

M. Bernard, A. Wachs, and E. Climent, Controlling the quality of two-way Euler/Lagrange numerical modeling of bubbling and spouted fluidized beds dynamics, Industrial & Engineering Chemistry Research, vol.56, issue.1, pp.368-386, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01585480

A. Esteghamatian, M. Bernard, A. Lance, A. Hammouti, and A. Wachs, Micro/meso simulation of a fluidized bed in a homogeneous bubbling regime, International Journal of Multiphase Flow, vol.92, pp.93-111, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01565965

A. Esteghamatian, A. Hammouti, M. Lance, and A. Wachs, Particle resolved simulations of liquid/solid and gas/solid fluidized beds, Physics of Fluids, vol.29, issue.3, p.33302, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01565238

A. Esteghamatian, F. Euzenat, A. Lance, A. Hammouti, and A. Wachs, A stochastic formulation for the drag force based on multiscale numerical simulation of fluidized beds. in revision in, International Journal of Multiphase Flow, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01905239

J. Capecelatro and O. Desjardins, An Euler-Lagrange strategy for simulating particle-laden flows, Journal of Computational Physics, vol.238, pp.1-31, 2013.

B. H. Xu and A. B. Yu, Numerical simulation of the gas-solid flow in a fluidized bed by combining discrete particle method with computational fluid dynamics, Chemical Engineering Science, vol.52, issue.16, pp.2785-2809, 1997.

R. Beetstra, M. A. Van-der-hoef, and J. A. Kuipers, Drag force of intermediate Reynolds number flow past mono-and bidisperse arrays of spheres, AIChE Journal, vol.53, issue.2, pp.489-501, 2007.

R. Beetstra, M. A. Van-der-hoef, and J. A. Kuipers, Numerical study of segregation using a new drag force correlation for polydisperse systems derived from lattice-Boltzmann simulations, Chemical Engineering Science, vol.62, issue.1, pp.246-255, 2007.

A. Wachs, A DEM-DLM/FD method for direct numerical simulation of particulate flows: Sedimentation of polygonal isometric particles in a Newtonian fluid with collisions, Computers & Fluids, vol.38, issue.8, pp.1608-1628, 2009.

A. Wachs, G. Vinay, and A. Hammouti, PeliGRIFF Home Page, 2007.

. .. , Multi-silo simulation set-up with all silos merged (connected hoppers) into one big silo (actual communications with non-empty messages between subdomains), p.50

. , 10 Ratio between parallel overhead and serial tasks for systems made of spherical particles and polyhedral particles

. , Granular dam break set-up. The granular media is made of icosahedral particles

, 12 3D view of the granular dam break flow for Size 4 case, p.53

. , 13 2D view of the granular dam break flow for Size 4 case. (a)-(f) correspond to snapshots every 0.1s

. , Complementary results with lateral walls instead of periodic conditions are plotted in green, 15 Variation of run-out distance (L ? ?L)/L with dimensional size of the system for a ? 7.3

, 16 Final scaled profiles of the deposit as a function of dimensional size of the system for a ? 7.3. All profiles collapse on a single master profile, p.57

. , Weak scaling parallel performance of Grains3D in granular dam break computations

. , 000: (a)(d) U in /U mf = 2, ? = 0.75 fluid porosity contours colored by pressure magnitude, velocity contours in a x ? z cut plane located at?yat? at?y, p.61