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| Exact scaling laws and coarse-grained discrete element modelling of large scale granular systems |
| Received:February 24, 2022 Revised:April 18, 2022 |
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| DOI：10.7511/jslxCMGM202213 |
| KeyWord:coarse-graining exact scaling discrete element method granular systems |
| Author | Institution |
| 赵婷婷 |
太原理工大学 机械与运载工程学院, 太原 ;宁波大学 冲击与安全工程教育部重点实验室, 宁波 |
| 冯云田 |
太原理工大学 机械与运载工程学院, 太原 ;斯旺西大学 辛克维奇计算工程中心, 英国斯旺西 SA1 8EN |
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| Abstract: |
| Computational capacities limit the development of discrete element modelling for large scale realistic simulations.Existing coarse-grained methods are proposed mostly for some specific problems which may not be suitable in general.This work describes scaling laws for physical quantities in the exact scaling system using the dimension analysis.The equivalent relations for the RVE of mass,momentum and energy are developed between the coarse-grained and the original systems from the multiscale perspective.A two-scale coarse-graining theory is proposed.Scaling laws and corresponding modifications for contact models in DEM derived in the exact scaling system are found to be still valid for physical quantities at the particle level in the coarse-grained system.Simulations of the wall pressure of a hopper and the repose angle of a granular system considering cohesion are conducted to validate the exact scaling laws used in the coarse-grained system. |