Advertisement

Onset of Immersed Granular Avalanches by DEM-LBM Approach

  • Jean-Yves DelenneEmail author
  • M. Mansouri
  • F. Radjaї
  • M. S. El Youssoufi
  • A. Seridi
Conference paper
Part of the Springer Series in Geomechanics and Geoengineering book series (SSGG, volume 11)

Abstract

We present 3D grain-fluid simulations based on the discrete element method interfaced with the lattice Boltzmann method and applied to investigate the initiation of underwater granular flows. We prepare granular beds of 800 spherical grains with different values of the initial solid fraction in a biperiodic rectangular box. In order to trigger an avalanche, the bed is instantaneously tilted to a finite slope angle above the maximum angle of stability. We simulate the dynamics of the transient flow for different solid fractions. In agreement with the experimental work of Iverson (Water Resour Res 36(7):1897–1910, 2000) and Pailha et al. (Phys Fluids 20(11):111701, 2008), we find that the flow onset is controlled by the initial solid fraction.

Keywords

Fluid-grain interaction Lattice Boltzmann Discrete element method Granular avalanches Granular material 

References

  1. M. Bouzidi, M. Firdaouss, P. Lallemand, Momentum transfer of a lattice Boltzmann fluid with boundaries. Phys. Fluids 13, 3452 (2001)CrossRefGoogle Scholar
  2. Y.T. Feng, K. Han, D.R.J. Owen, Coupled Lattice Boltzmann and discrete element modelling of fluid-particle interaction problems. Int. J. Numer. Methods Eng. 72, 1111–1134 (2007)MathSciNetzbMATHCrossRefGoogle Scholar
  3. R.M. Iverson, Landslide triggering by rain infiltration. Water Resour. Res. 36(7), 1897–1910 (2000)CrossRefGoogle Scholar
  4. A.J.C. Ladd, Numerical simulation of particular suspensions via a discretized Boltzmann equation, Part 2, Numerical results. J. Fluid Mech. 271, 311–339 (1994)MathSciNetGoogle Scholar
  5. P. Lallemand, L.-S. Luo, Lattice Boltzmann method for moving boundaries. J. Comput. Phys. 184, 406–421 (2003)MathSciNetzbMATHCrossRefGoogle Scholar
  6. M. Mansouri, J.-Y. Delenne, M.S. El Youssoufi, A. Seridi, A 3D DEM-LBM approach for the assessment of the quick condition for sands. C. R. Mécanique 337, 675–681 (2009)CrossRefGoogle Scholar
  7. M. Mansouri, J.-Y. Delenne, A. Seridi, M.S. El Youssoufi, A numerical model for the computation of permeability of cemented granular material. Powder Technol. 208(2), 532–536 (2011)CrossRefGoogle Scholar
  8. M. Pailha, M. Nicolas, O. Pouliquen, Initiation of underwater granular avalanches: influence of the initial volume fraction. Phys. Fluids 20(11), 111701 (2008)Google Scholar
  9. V. Richefeu, F. Radjai, M.S. El Youssoufi, Stress transmission in wet granular materials. Eur. Phys. J. E 21, 359–369 (2006)CrossRefGoogle Scholar
  10. F. Soulié, F. Cherblanc, M.S. El Youssoufi, C. Saix, Influence of liquid bridges on the mechanical behaviour of polydisperse granular materials. Int. J. Numer. Anal. Meth. Geom. 30(3), 213–228 (2006)zbMATHCrossRefGoogle Scholar
  11. O.E. Strack, B.K. Cook, Three-dimensional immersed boundary conditions for moving solids in the Lattice Boltzmann method. Int. J. Numer. Meth. Fluids 55, 103–125 (2007)zbMATHCrossRefGoogle Scholar
  12. C. Voivret, F. Radjai, J.-Y. Delenne, M.S. El Youssoufi, Space-filling properties of polydisperse granular media. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 76, 021301 (2007)CrossRefGoogle Scholar
  13. Q. Zou, X. He, On pressure and velocity boundary conditions for the Lattice Boltzmann BGK model. Phys. Fluids 9, 1591–1598 (1997)MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • Jean-Yves Delenne
    • 1
    Email author
  • M. Mansouri
    • 2
  • F. Radjaї
    • 1
  • M. S. El Youssoufi
    • 1
  • A. Seridi
    • 3
  1. 1.LMGC UMR 5508 CNRS-Université Montpellier 2 / MIST, IRSN DPAM-CNRSMontpellier cedex 5France
  2. 2.Département de génie civiluniversité Ferhat-bbasSetifAlgeria
  3. 3.Laboratoire de mécanique des solides et systèmes (LM2S)université M’hamed-BougaraBoumerdesAlgeria

Personalised recommendations