2011 Interdisciplinary Summer School: Granular Flows

Hands-on Simulations of Jamming

Corey O’Hern, Yale University

1. A. Discrete Element Simulations
   1. Boundary Conditions
   2. Interparticle Interactions (soft and hard potentials, friction, dissipation)
   3. Ensembles (constant energy, constant temperature, constant pressure)
   4. Integration of Equations of Motion (Verlet, predictor-corrector, and event-driven algorithms)
2. Packing Algorithms
   1. Isotropic Compression
   2. Simple and Pure Shear
   3. Non-spherical Particles---Determining Contacts
3. Structural, Mechanical, and Dynamical Properties
   1. Mechanical Properties: Shear and Bulk Moduli, Vibrational Modes
   2. Structural Properties: Pair Distribution Functions, Contact Number, Structure Factor, Order Parameters, and Correlation Lengths
   3. Dynamical Properties: Structural and Stress Time Correlation Functions, Intermediate Scattering Function

1. C. F. Schreck and C. S. O'Hern, "Computational methods to study jammed systems", in Experimental and Computational Techniques in Soft Condensed Matter Physics, ed. by J. S. Olafsen, (Cambridge University Press, New York, 2010).
2. M. P. Allen and D. J. Tildesley, “Computer Simulation of Liquids”, Oxford University Press, 1991