A Novel Discrete Element Method for Smooth Polyhedrons and Its Application to Modeling Flows of Concave-Shaped Particles

IF 2.7 3区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal for Numerical Methods in Engineering Pub Date : 2024-12-16 DOI:10.1002/nme.7628

Siqiang Wang, Qingwei Xu, Dongfang Liang, Shunying Ji

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Abstract

The smooth polyhedral model has been commonly used to construct non-spherical particles with smooth surfaces, whereas it is mainly constrained to numerical simulations involving concave-shaped particles. This constraint arises from the limitations imposed by the contact algorithm. In this study, the contact detection between smooth polyhedrons is simplified to that between dilated triangular elements, and a discrete element method for concave polyhedral particles with smooth surfaces is developed. Subsequently, an automatic mesh simplification algorithm is established to enhance the computational efficiency without compromising accuracy. In validating the smooth polyhedral model, the simulation results of a hexahedron colliding with a plane are found to agree favorably with the experimental results. Then, the elastic collisions between the convex and concave particles are analyzed, and the total kinetic energy before and after the particle collision remains unchanged. Furthermore, the influences of particle morphology on the packing fraction, flow fluctuation, flow rate, mixing rate, velocity distribution, and system energy in hoppers and rotating drums are analyzed, revealing the underlying flow characteristics of concave polyhedral granular materials with smooth surfaces.

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光滑多面体的新型离散元素法及其在凹形粒子流建模中的应用

光滑多面体模型通常用于构造具有光滑表面的非球形粒子，而它主要局限于涉及凹形粒子的数值模拟。这种约束来自于接触算法所施加的限制。本文将光滑多面体之间的接触检测简化为扩展三角形元之间的接触检测，建立了光滑表面凹多面体颗粒的离散元方法。在此基础上，建立了一种自动网格化简算法，在不影响精度的前提下提高计算效率。通过对光滑多面体模型的验证，发现六面体与平面碰撞的仿真结果与实验结果吻合较好。然后，分析了凹凸粒子之间的弹性碰撞，粒子碰撞前后的总动能不变。进一步分析了颗粒形态对料斗和转鼓内堆积率、流量波动、流量、混合速率、速度分布和系统能量的影响，揭示了表面光滑的凹多面体颗粒物料的内在流动特性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal for Numerical Methods in Engineering 工程技术-工程：综合

CiteScore

5.70

自引率

6.90%

发文量

276

审稿时长

5.3 months

期刊介绍： The International Journal for Numerical Methods in Engineering publishes original papers describing significant, novel developments in numerical methods that are applicable to engineering problems. The Journal is known for welcoming contributions in a wide range of areas in computational engineering, including computational issues in model reduction, uncertainty quantification, verification and validation, inverse analysis and stochastic methods, optimisation, element technology, solution techniques and parallel computing, damage and fracture, mechanics at micro and nano-scales, low-speed fluid dynamics, fluid-structure interaction, electromagnetics, coupled diffusion phenomena, and error estimation and mesh generation. It is emphasized that this is by no means an exhaustive list, and particularly papers on multi-scale, multi-physics or multi-disciplinary problems, and on new, emerging topics are welcome.