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From Spheres to Spheropolyhedra: Generalized Distinct Element Methodology and Algorithm Analysis

In: Research Trends in Combinatorial Optimization

Author

Listed:
  • Lionel Pournin

    (Mathematics Institute, EPFL – Ecole Polytechnique Fédérale de Lausanne)

  • Thomas M. Liebling

    (Mathematics Institute, EPFL – Ecole Polytechnique Fédérale de Lausanne)

Abstract

Summary The Distinct Element Method (DEM) is a popular tool to perform granular media simulations. The two key elements this requires are an adequate model for inter-particulate contact forces and an efficient contact detection method. Originally, this method was designed to handle spherical-shaped grains that allow for efficient contact detection and simple yet realistic contact force models. Here we show that both properties carry over to grains of a much more general shape called spheropolyhedra (Minkowski sums of spheres and polyhedra). We also present some computational experience and results with the new model.

Suggested Citation

  • Lionel Pournin & Thomas M. Liebling, 2009. "From Spheres to Spheropolyhedra: Generalized Distinct Element Methodology and Algorithm Analysis," Springer Books, in: William Cook & László Lovász & Jens Vygen (ed.), Research Trends in Combinatorial Optimization, chapter 16, pages 347-363, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-76796-1_16
    DOI: 10.1007/978-3-540-76796-1_16
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