caa a22 4500 606167064 CHVBK 20210128100701.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10665-014-9767-5 doi (NATIONALLICENCE)springer-10.1007/s10665-014-9767-5 Complex material flow problems: a multi-scale model hierarchy and particle methods [Elektronische Daten] [S. Göttlich, A. Klar, S. Tiwari] Material flow simulation is in increasing need of multi-scale models. On the one hand, macroscopic flow models are used for large-scale simulations with a large number of parts. On the other hand, microscopic models are needed to describe the details of the production process. In this paper, we present a hierarchy of models for material flow problems ranging from detailed microscopic, discrete element method type, models to macroscopic models using scalar conservation laws with non-local interaction terms. Numerical simulations are presented at all levels of the hierarchy, and the results are compared to each other for several test cases. Springer Science+Business Media Dordrecht, 2014 DEM material flow simulation nationallicence Diffusive limits nationallicence Hydrodynamic limits nationallicence Interacting particles nationallicence Mean field equations nationallicence Göttlich S. Department of Mathematics, University of Mannheim, 68131, Mannheim, Germany aut Klar A. Fraunhofer Institute ITWM, Fraunhofer-Platz 1, 67663, Kaiserslautern, Germany aut Tiwari S. Department of Mathematics, TU Kaiserslautern, PO Box 3049, 67653, Kaiserslautern, Germany aut Journal of Engineering Mathematics Springer Netherlands 92/1(2015-06-01), 15-29 0022-0833 92:1<15 2015 92 10665 https://doi.org/10.1007/s10665-014-9767-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10665-014-9767-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Göttlich S. Department of Mathematics, University of Mannheim, 68131, Mannheim, Germany aut NATIONALLICENCE 700 1- Klar A. Fraunhofer Institute ITWM, Fraunhofer-Platz 1, 67663, Kaiserslautern, Germany aut NATIONALLICENCE 700 1- Tiwari S. Department of Mathematics, TU Kaiserslautern, PO Box 3049, 67653, Kaiserslautern, Germany aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Springer Netherlands 92/1(2015-06-01), 15-29 0022-0833 92:1<15 2015 92 10665