A variational integrator for the discrete element method

de Klerk, D. N., Shire, T. , Gao, Z. , McBride, A. T. , Pearce, C. J. and Steinmann, P. (2022) A variational integrator for the discrete element method. Journal of Computational Physics, 462, 111253. (doi: 10.1016/j.jcp.2022.111253)

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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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:McBride, Professor Andrew and Gao, Dr Zhiwei and Shire, Dr Thomas and Steinmann, Professor Paul and Pearce, Professor Chris and de Klerk, Dr David
Authors: de Klerk, D. N., Shire, T., Gao, Z., McBride, A. T., Pearce, C. J., and Steinmann, P.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Journal of Computational Physics
Publisher:Elsevier
ISSN:0021-9991
ISSN (Online):1090-2716
Published Online:27 April 2022
Copyright Holders:Copyright © 2022 The Author(s).
First Published:First published in Journal of Computational Physics 462:111253
Publisher Policy:Reproduced under a Creative Commons licence

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
300129Strategic Support Package: Engineering of Active Materials by Multiscale/Multiphysics Computational MechanicsChristopher PearceEngineering and Physical Sciences Research Council (EPSRC)EP/R008531/1ENG - Infrastructure & Environment