Spheropolygons: A new method to simulate conservative and dissipative interactions between 2D complex-shaped rigid bodiesF. Alonso-Marroquín
ESSCC & School of Physical Sciences, The University of Queensland - Qld. 4072, Brisbane, Australia
received 19 November 2007; accepted in final form 15 May 2008; published July 2008
published online 11 June 2008
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.
45.70.-n - Granular systems.
47.11.Mn - Molecular dynamics methods.
© EPLA 2008