Issue
EPL
Volume 83, Number 1, July 2008
Article Number 14001
Number of page(s) 6
Section Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics
DOI http://dx.doi.org/10.1209/0295-5075/83/14001
Published online 11 June 2008
EPL, 83 (2008) 14001
DOI: 10.1209/0295-5075/83/14001

Spheropolygons: A new method to simulate conservative and dissipative interactions between 2D complex-shaped rigid bodies

F. Alonso-Marroquín

ESSCC & School of Physical Sciences, The University of Queensland - Qld. 4072, Brisbane, Australia

fernando@esscc.uq.edu.au

received 19 November 2007; accepted in final form 15 May 2008; published July 2008
published online 11 June 2008

Abstract
I present a method to simulate complex-shaped interacting bodies, a problem which appears in many areas, including molecular dynamics, material science, virtual reality, geo- and astrophysics. The particle shape is represented by the classical concept of a Minkowski sum, which permits the representation of complex shapes without the need to define the object as a composite of spherical or convex particles. A well-defined conservative and frictional interaction between these bodies is derived. The model (particles + interactions) is much more efficient, accurate and easier to implement than other models. Simulations with conservative interactions comply with the statistical mechanical principles for conservative systems. Simulations with frictional forces show that particle shape strongly affects the jamming phenomena in granular flow.

PACS
45.70.-n - Granular systems.
47.11.Mn - Molecular dynamics methods.

© EPLA 2008