A variational integrator for the Discrete Element Method
De Klerk DN, Shire T, Gao Z, McBride AT, Pearce CJ, Steinmann P (2022)
Publication Type: Journal article
Publication year: 2022
Journal
Book Volume: 462
Article Number: 111253
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.
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United Kingdom (GB)How to cite
APA:
De Klerk, D.N., Shire, T., Gao, Z., McBride, A.T., Pearce, C.J., & Steinmann, P. (2022). A variational integrator for the Discrete Element Method. Journal of Computational Physics, 462. https://dx.doi.org/10.1016/j.jcp.2022.111253
MLA:
De Klerk, David N., et al. "A variational integrator for the Discrete Element Method." Journal of Computational Physics 462 (2022).
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