A Variational Integrator for the Discrete Element Method
arXiv:2103.01757 · doi:10.1016/j.jcp.2022.111253
Abstract
A novel implicit integration scheme for the Discrete Element Method (DEM) based on the variational integrator approach is presented. The numerical solver provides a fully dynamical description that, notably, reduces to an energy minimisation scheme in the quasi-static limit. A detailed derivation of the numerical method is presented for the Hookean contact model and tested against an established open source DEM package that uses the velocity-Verlet integration scheme. These tests compare results for a single collision, long-term stability and statistical quantities of ensembles of particles. Numerically, the proposed integration method demonstrates equivalent accuracy to the velocity-Verlet method.
References in corpus (10)
- On dense granular flows
- A constitutive law for dense granular flows
- Rheophysics of dense granular materials : Discrete simulation of plane shear flows
- Granular flow down an inclined plane: Bagnold scaling and rheology
- A model for collisions in granular gases
- Jamming transition in emulsions and granular materials
- An Analysis of the Quasicontinuum Method
- Discrete Euler-Poincaré and Lie-Poisson Equations
- Rheological properties of dense granular flows
- Contact variational integrators