Calibration of discrete element modeling: Scaling laws and dimensionless analysis |
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| Institution: | 1. State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing 400044, China;2. College of Petroleum Engineering and Geosciences, King Fahd University of Petroleum and Minerals, Saudi Arabia;1. Marine Engineering, College of Engineering, Ocean University of China, Qingdao 266100, China;2. Offshore Engineering, Department of Civil, Environmental and Mining, University of Western Australia, 35 Stirling Hwy, Crawley, WA 6009, Australia;3. Power Engineering and Engineering Thermophysics, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;1. School of Resources and Civil Engineering, Northeastern University, Shenyang 110819, China;2. Ansteel Beijing Research Institute CO., LTD., Beijing 102200, China;3. Genetic Mineral Processing Research Center, Northeastern University, Shenyang 110819, China;1. College of Chemical Engineering, Hebei University of Technology, Tianjin 300401, China;2. Qingdao Institue of Bioenergy and Bioprocess Technology, Chinese Academy of Sciences, Qingdao 266101, Shandong, China;3. Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China;1. School of Chemical Engineering and Technology, Hebei University of Technology, Tianjin 300130, China;2. MDPI (Tianjin) Technology Services Co., Ltd., Tianjin 300130, China;3. Max-Planck-Institut für Dynamik komplexer technischer Systeme, Sandtorstrasse 1, 39106 Magdeburg, Germany;4. School of Artificial Intelligence, Hebei University of Technology, Tianjin 300130, China |
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| Abstract: | In this paper, dynamic similarity conditions are derived for discrete element simulations by non-dimensionalising the governing equations. These conditions must be satisfied so that the numerical model is a good representation of the physical phenomenon. For a pure mechanical system, if three independent ratios of the corresponding quantities between the two models are set, then the ratios of other quantities must be chosen according to the similarity principles. The scalability of linear and non-linear contact laws is also investigated. Numerical tests of 3D uni-axial compression are carried out to verify the theoretical results. Another example is presented to show how to calibrate the model according to laboratory data and similarity conditions. However, it is impossible to reduce computer time by scaling up or down certain parameters and continue to uphold the similarity conditions. The results in this paper provide guidelines to assist discrete element modelers in setting up the model parameters in a physically meaningful way. |
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| Keywords: | Discrete element method Dimensionless analysis Dynamic similarity Parameter calibration ESyS_Particle |
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