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On the optimal numerical time integration for DEM using Hertzian force models

On the optimal numerical time integration for DEM using Hertzian force models
On the optimal numerical time integration for DEM using Hertzian force models
The numerical accuracy of a selection of different time integration techniques used to solve particle motion is investigated using a normal collision employing the non-linear Hertzian contact force. The findings are compared against the linear force model where it has been found that the expected order of accuracy of higher-order integration schemes is not realised (Tuley et al., 2010). The proposed mechanism for this limitation has been cited as the errors in integration which occur across the force profile discontinuity. By investigating the characteristics of both the non-linear elastic and the non-linear damped Hertzian contact models, it has been found that higher orders of accuracy are recoverable and depends on the degree of the governing non-linear equation. The numerical errors of the linear and non-linear force models are however markedly different in character.
0098-1354
211-222
Danby, Matthew
6e85ad5a-0c7d-4560-9c76-581927bb5c53
Shrimpton, John
9cf82d2e-2f00-4ddf-bd19-9aff443784af
Palmer, Mark
a26656b0-829f-4fd2-8756-d19b2776dba0
Danby, Matthew
6e85ad5a-0c7d-4560-9c76-581927bb5c53
Shrimpton, John
9cf82d2e-2f00-4ddf-bd19-9aff443784af
Palmer, Mark
a26656b0-829f-4fd2-8756-d19b2776dba0

Danby, Matthew, Shrimpton, John and Palmer, Mark (2013) On the optimal numerical time integration for DEM using Hertzian force models. Computers and Chemical Engineering, 58, 211-222. (doi:10.1016/j.compchemeng.2013.06.018).

Record type: Article

Abstract

The numerical accuracy of a selection of different time integration techniques used to solve particle motion is investigated using a normal collision employing the non-linear Hertzian contact force. The findings are compared against the linear force model where it has been found that the expected order of accuracy of higher-order integration schemes is not realised (Tuley et al., 2010). The proposed mechanism for this limitation has been cited as the errors in integration which occur across the force profile discontinuity. By investigating the characteristics of both the non-linear elastic and the non-linear damped Hertzian contact models, it has been found that higher orders of accuracy are recoverable and depends on the degree of the governing non-linear equation. The numerical errors of the linear and non-linear force models are however markedly different in character.

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More information

e-pub ahead of print date: 29 July 2013
Published date: 11 November 2013
Organisations: Engineering Science Unit

Identifiers

Local EPrints ID: 367587
URI: http://eprints.soton.ac.uk/id/eprint/367587
ISSN: 0098-1354
PURE UUID: 23c595f9-669d-458a-807d-c9323633599e

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Date deposited: 01 Aug 2014 14:04
Last modified: 15 Jul 2019 21:49

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