论文标题
SR-DEM：具有革命表面粒子的有效离散元素方法
SR-DEM: an efficient discrete element method for particles with surface of revolution
论文作者
论文摘要
在本文中，引入了革命离散元素方法（SR-DEM）的表面，以模拟具有革命封闭表面的粒子系统。由于革命表面的圆柱形对称性，有关旋转轴的任何横截面的几何形状保持不变。利用这一几何特征，提出了一种节点到跨截面的接触算法，以在具有革命表面的粒子之间有效地接触。在我们的SR-DEM框架中，触点算法以主奴隶的方式实现：主粒子由其表面节点近似，而从属粒子则由围绕旋转轴的横截面的签名距离场（SDF）表示。在2D和3D空间中的这种混合配方允许非常有效的接触计算但相对简单的代码实现。然后，我们将SR-DEM应用于模拟粒子粒子，颗粒壁的冲击，圆柱容器中的颗粒状堆积和旋转鼓中的片剂，以演示SR-DEM分别预测后影响后速度，堆积孔隙率，分别是动态的安息角度的能力。最后，我们建议通过增加表面节点的数量来找到最佳的表面分辨率的简单方法，直到某些可以表征系统收敛的大量特性为止。
In this paper, the surface of revolution discrete element method (SR-DEM) is introduced to simulate systems of particles with closed surfaces of revolution. Due to the cylindrical symmetry of a surface of revolution, the geometry of any cross-section about the axis of rotation remains the same. Taking advantage of this geometric feature, a node-to-cross-section contact algorithm is proposed for efficient contact detection between particles with a surface of revolution. In our SR-DEM framework, the contact algorithm is realized in a master-slave fashion: the master particle is approximated by its surface nodes, while the slave particle is represented by a signed distance field (SDF) of the cross-section about the axis of rotation. This hybrid formulation in both 2D and 3D space allows a very efficient contact calculation yet relatively simple code implementation. We then apply SR-DEM to simulate particle-particle, particle-wall impact, granular packing in a cylindrical container, and tablets in a rotating drum, to demonstrate SR-DEM's ability to predict the post-impact velocities, packing porosity, and dynamic angle of repose, respectively. Finally, we suggest a simple approach to find an optimal surface resolution, by increasing the number of surface nodes until some of the bulk properties that could characterize the system converge.
