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.
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This work was supported by the German research foundation, DFG grants KL 1105/20-1, GO 1920/3-1 and the BMBF Project KinOpt.
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Göttlich, S., Klar, A. & Tiwari, S. Complex material flow problems: a multi-scale model hierarchy and particle methods. J Eng Math 92, 15–29 (2015). https://doi.org/10.1007/s10665-014-9767-5
- DEM material flow simulation
- Diffusive limits
- Hydrodynamic limits
- Interacting particles
- Mean field equations