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PeliGRIFF: A Parallel DEM-DLM/FD Method for DNS of Particulate Flows with Collisions

Authors: Anthony Wachs, Guillaume Vinay, Gilles Ferrer, Jacques Kouakou, Calin Dan, Laurence Girolami


An original Direct Numerical Simulation (DNS) method to tackle the problem of particulate flows at moderate to high concentration and finite Reynolds number is presented. Our method is built on the framework established by Glowinski and his coworkers [1] in the sense that we use their Distributed Lagrange Multiplier/Fictitious Domain (DLM/FD) formulation and their operator-splitting idea but differs in the treatment of particle collisions. The novelty of our contribution relies on replacing the simple artificial repulsive force based collision model usually employed in the literature by an efficient Discrete Element Method (DEM) granular solver. The use of our DEM solver enables us to consider particles of arbitrary shape (at least convex) and to account for actual contacts, in the sense that particles actually touch each other, in contrast with the simple repulsive force based collision model. We recently upgraded our serial code, GRIFF 1 [2], to full MPI capabilities. Our new code, PeliGRIFF 2, is developed under the framework of the full MPI open source platform PELICANS [3]. The new MPI capabilities of PeliGRIFF open new perspectives in the study of particulate flows and significantly increase the number of particles that can be considered in a full DNS approach: O(100000) in 2D and O(10000) in 3D. Results on the 2D/3D sedimentation/fluidization of isometric polygonal/polyedral particles with collisions are presented.

Keywords: Distributed Computing, Sedimentation, MPI, discrete element method, Particulate flow, distributed lagrange multiplier/fictitious domain method, polygonal shape

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[1] R. Glowinski, T.W. Pan, T.I. Hesla, and D.D. Joseph. A Distributed Lagrange Multiplier/Fictitious Domain method for particulate flow. International Journal of Multiphase Flow, 25:755-794, 1999.
[2] 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. in press in Computers and Fluids, 2009.
[3] PELICANS,, 2008.
[4] P. Singh, T.I. Hesla, and D.D. Joseph. Distributed lagrange multiplier method for particulate flows with collisions. International Journal of Multiphase Flow, 29:495-509, 2003.
[5] R. Glowinski, T.W. Pan, T.I. Hesla, D.D. Joseph, and J. Periaux. A fi ctitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow. Journal of Computational Physics, 169:363-426, 2001.
[6] Z.G. Feng and E.E. Michaelides. Proteus: a direct forcing method in the simulations of particulate flows. Journal of Computational Physics, 202:20-51, 2005.
[7] M. Uhlmann. An immersed boundary method with direct forcing for the simulation of particulate flows. Journal of Computational Physics, 209:448-476, 2005.
[8] T. Tsuji, K. Yabumoto, and T. Tanaka. Spontaneous structures in three-dimensional bubbling gas-fluidized bed by parallel DEMCFD coupling simulation. in press in Powder Technology, 2009.
[9] T. Tsuji, A. Ito, and T. Tanaka. Multi-scale structure of clustering particles. Powder Technology, 179(3):115-125, 2008.
[10] Z. Yu, X. Shao, and A. Wachs. A fi ctitious domain method for particulate flows with heat transfer. Journal of Computational Physics, 217(2):424-452, 2006.
[11] Z. Yu and A. Wachs. A fi ctitious domain method for dynamic simulation of particle sedimentation in Bingham fluids. Journal of Non-Newtonian Fluid Mechanics, 145(2-3):78-91, 2007.
[12] C. Crowe, M. Sommerfeld, and Y. Tsuji. Multiphase flows with droplets and particles. CRC press, 1998.
[13] P.A. Cundall and O.D.L. Strack. A discrete numerical model for granular assemblies. Geotechnique, 29:47-65, 1979.
[14] C.Y. Wu and A.C.F. Cocks. Numerical and experimental investigations of the flow of powder into a confi ned space. Mech. of Materials, 38:304-324, 2006.
[15] V. Komiwes, P. Mege, Y. Meimon, and H. Herrmann. Simulation of granular flow in a fluid applied to sedimentation. Granular Matter, 8:41-54, 2006.
[16] Z. Yu, N. Phan-Thien, Y. Fan, and R.I. Tanner. Viscoelastic mobility problem of a system of particles. Journal of Non Newtonian Fluid Mechanics, 104:87-124, 2002.