NDLI: Reduction of discrete element models by Karhunen–Loève transform: a hybrid model approach

Content Provider	Springer Nature Link
Author	Glösmann, Philipp
Copyright Year	2009
Abstract	The term “discrete element method” (DEM) in engineering science comprises various approaches to model physical systems by agglomerates of free particles. While shapes, sizes and properties of particles may vary, in most DEM models, particles are not confined by constraints, but subject to applied forces derived from potential fields and/or contact laws. This general approach allows for widespread use of DEM models for physical phenomena including gas dynamics, granular flow, fracture and impact analysis. However, its characteristic feature, combining particle restraints and forces into applied forces, does not only provide for flexible adaption of DEM to different physics, but also creates the most limiting restriction: Evaluation of the applied forces for each particle is computational expensive restraining the time sequence and sample size for numerical analyses. As an ansatz to circumvent this obstacle for a class of DEM models, we propose a model order reduction method based on coherency in the dynamics of particles. While initial flexibility of DEM is conserved, computational effort can be reduced significantly.
Starting Page	375
Ending Page	385
Page Count	11
File Format	PDF
ISSN	01787675
Journal	Computational Mechanics
Volume Number	45
Issue Number	4
e-ISSN	14320924
Language	English
Publisher	Springer-Verlag
Publisher Date	2009-12-19
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Discrete element method Karhunen–Loève transform Model order reduction Hybrid adaptive model Classical Continuum Physics Computational Science and Engineering Theoretical and Applied Mechanics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Ocean Engineering Computational Theory and Mathematics Mechanical Engineering Computational Mechanics Computational Mathematics

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