A mollied version of the Kuwabara-Kono model for 2nd order convergence in DEM
DOI:
https://doi.org/10.5540/03.2022.009.01.0001Resumo
The discrete element method is a technique widely used to simulate multi particle systems, in particular granular materials. For conservative systems, the integration of the equations of motions is often performed via a Verlet-type method of order two.[...]
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Eduardo M.B. Campello. A computational model for the simulation of dry granular materials. In: International Journal of Non-Linear Mechanics 106 (2018), pp. 89107. issn: 0020-7462. doi: https : / / doi . org / 10 . 1016 / j . ijnonlinmec . 2018 . 08 . 010. url: https://www.sciencedirect.com/science/article/pii/S0020746218301409.
Lawrence C. Evans. Partial dierential equations. Providence, R.I.: American Mathematical Society, 2010. isbn: 9780821849743 0821849743.
Ernst Hairer, Christian Lubich, and Gerhard Wanner. Geometric numerical integration illustrated by the StörmerVerlet method. In: Acta Numerica 12 (2003), pp. 399450. doi: 10.1017/S0962492902000144.
Goro Kuwabara and Kimitoshi Kono. Restitution Coe cient in a Collision between Two Spheres. In: Japanese Journal of Applied Physics 26.Part 1, No. 8 (Aug. 1987), pp. 1230 1233. doi: 10.1143/jjap.26.1230. url: https://doi.org/10.1143/jjap.26.1230. 7
Gustavo H. B. Martins et al. Large-deviation quantication of boundary conditions on the Brazil nut eect. In: Phys. Rev. E 103 (6 June 2021), p. 062901. doi: 10.1103/PhysRevE. 103.062901. url: https://link.aps.org/doi/10.1103/PhysRevE.103.062901.
J. Shäfer, S. Dippel, and D. Wolf. Force Schemes in Simulations of Granular Materials. In: Journal de Physique I 6.1 (1996), pp. 520. doi: 10.1051/jp1:1996129. url: https: //hal.archives-ouvertes.fr/jpa-00247176.
A.B. Stevens and C.M. Hrenya. Comparison of soft-sphere models to measurements of collision properties during normal impacts. In: Powder Technology 154.2 (2005), pp. 99 109. issn: 0032-5910. doi: https : / / doi . org / 10 . 1016 / j . powtec . 2005 . 04 . 033. url: https://www.sciencedirect.com/science/article/pii/S0032591005001658.
Jos Thijssen. Computational Physics. 2nd ed. Cambridge University Press, 2007. doi: 10.1017/CBO9781139171397.
Haruo Yoshida. Construction of higher order symplectic integrators. In: Physics Letters A 150.5 (1990), pp. 262268. issn: 0375-9601. doi: https : / / doi . org / 10 . 1016 / 0375 - 9601(90 ) 90092 - 3. url: https : / / www . sciencedirect . com / science / article / pii / 0375960190900923.
