A hierarchical, spherical harmonic-based approach to simulate abradable, irregularly shaped particles in DEM
A hierarchical, spherical harmonic-based approach to simulate abradable, irregularly shaped particles in DEM
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DOI：
10.1016/j.powtec.2020.10.015
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发表时间：
2021-01
影响因子：
5.2
通讯作者：
R. Capozza;K. Hanley
中科院分区：
文献类型：
--
作者：
R. Capozza;K. Hanley
提出了一种在离散元法中模拟非球形颗粒的新方法。粒子的形状是通过使用球谐展开的表示层次来描述的。膨胀是在节点处计算的，通过离散粒子的表面获得。低度膨胀，即，一个包含几个项，足以近似颗粒的整体形状，而没有任何表面纹理。膨胀仅在粒子间接触处计算到高程度，而不是针对整个粒子，这降低了计算成本。这种方法的优点包括能够根据空间和时间因素模拟各种颗粒形状和自适应分辨率。另一个独特的好处是，由于碎片的颗粒形状的变化可以在DEM中首次捕获。这是通过逐步从展开式中省略更多的最高次项来实现的，以给出越来越光滑的表面。
A novel approach is presented for simulating non-spherical particles in the discrete element method (DEM). A particle's shape is described through a hierarchy of representations using spherical harmonic expansions. The expansion is computed at nodes, obtained by discretising the particle's surface. A low-degree expansion, i.e., one containing few terms, is sufficient to approximate a particle's overall shape without any surface texture. Expansions are computed to high degrees only at interparticle contacts, rather than for the entire particle, which reduces the computational cost. The advantages of this approach include the ability to simulate a wide range of particle shapes and adaptive resolution depending on spatial and temporal considerations. An additional unique benefit is that changes of particle shape due to chipping can be captured in DEM for the first time. This is accomplished by progressively omitting more of the highest-degree terms from the expansion to give an increasingly smooth surface.