Granular Matter

, Volume 14, Issue 2, pp 163–168 | Cite as

Evolution of solids fraction surfaces in tapping: simulation and dynamical systems analysis

  • V. Ratnaswamy
  • A. D. Rosato
  • D. Blackmore
  • X. Tricoche
  • N. Ching
  • L. Zuo
Original Paper


We report our findings on the evolution of solids fraction in a tapped system of inelastic, frictional spheres as a function of the applied acceleration obtained via discrete element simulations. Animations of the simulation data reveal the propagation of a wave initiated from the base that causes local rearrangements of the particles ultimately leading to the development of a dense microstructure. We also describe the analysis of dynamical models capable of predicting the simulated behavior, and advanced visualization techniques for revealing the dynamics.

Mathematics Subject Classification

35C07 35Q51 37N15 


Solids fraction evolution Dynamical systems model Density wave visualization Discrete element simulation Vertical tapping 


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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  • V. Ratnaswamy
    • 1
  • A. D. Rosato
    • 1
  • D. Blackmore
    • 2
  • X. Tricoche
    • 3
  • N. Ching
    • 1
  • L. Zuo
    • 1
  1. 1.Granular Science Laboratory and Mechanical & Industrial Engineering DepartmentNew Jersey Institute of Technology (NJIT)NewarkUSA
  2. 2.Department of Mathematical Sciences and Center for Applied Mathematics and StatisticsNJITNewarkUSA
  3. 3.Department of Computer SciencePurdue UniversityWest LafayetteUSA

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