Premium
An implicit approach to predict the dynamics of granular media
Author(s) -
Samiei Kasra,
Peters Bernhard,
Bolten Matthias,
Frommer Andreas
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010020
Subject(s) - dynamics (music) , simple (philosophy) , contrast (vision) , boundary (topology) , computer science , particle (ecology) , work (physics) , statistical physics , mathematics , mathematical analysis , physics , artificial intelligence , geology , thermodynamics , philosophy , oceanography , epistemology , acoustics
The objective of this study is to present an implicit method to predict the dynamics of granular particles. In the proposed methodology, the dynamics equation of colliding particles are solved implicitly which means the positions of particles at the next time step are also used to compute the next state of the particles. This is in contrast with the explicit approach where only known i.e. past information is used to calculate the new positions. The method is tested in a simple setting where a spherical particle is in continuous movement between two boundary walls. The results show that considerably larger time steps are enabled with the implicit method compared to the explicit method. Future work will compare the overall efficiency of the implicit and explicit methods in more detail. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)