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On the central difference algorithm in discrete element modelling of impact
Author(s) -
Feng Y. T.
Publication year - 2005
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1443
Subject(s) - discontinuity (linguistics) , stability (learning theory) , context (archaeology) , simple (philosophy) , instability , element (criminal law) , algorithm , mathematics , linearity , computer science , mathematical optimization , engineering , mathematical analysis , mechanics , physics , geology , paleontology , philosophy , electrical engineering , epistemology , machine learning , political science , law
The paper provides a comprehensive analysis of the accuracy and stability of the central difference scheme when applied to simulate a simple impact problem in the context of the discrete element approach. It is revealed that the algorithm exhibits some different behaviour due to the inherent non‐linearity/discontinuity of the impact system. Particularly, for an elastic or slightly inelastic impact, the stable/unstable region governing the selection of a maximum time step size is essentially different from that defined by the conventional linear stability criterion, and thus a smaller time step should be employed in order to reduce the possible occurrence of an unexpected numerical instability. Copyright © 2005 John Wiley & Sons, Ltd.