论文标题
一个离散化 - 验证级别-DEM
A discretization-convergent Level-Set-DEM
论文作者
论文摘要
最近开发的级别-DEM能够通过谷物体积的离散级别表示和基于节点的边界表面离散化来无缝处理任意形状的晶粒及其接触。迄今为止，尚未检查LS-DEM的收敛性以及这些离散化的改进。在这里，我们检查了这些属性，并表明原始LS-DEM由于其基于力的离散接触公式而随着表面离散化的细化而发散。接下来，我们通过采用基于连续的触点公式来解决此问题，其中触点相互作用基于吸引力，并表明改编的LS-DEM是完全离散化的收敛性。最后，我们讨论了融合在捕获物理反应方面的重要性，以及其他与融合相关的实际重要性主题。
The recently developed level-set-DEM is able to seamlessly handle arbitrarily shaped grains and their contacts through a discrete level-set representation of grains' volume and a node-based discretization of their bounding surfaces. Heretofore, the convergence properties of LS-DEM with refinement of these discretizations have not been examined. Here, we examine these properties and show that the original LS-DEM diverges upon surface discretization refinement due to its force-based discrete contact formulation. Next, we fix this issue by adopting a continuum-based contact formulation wherein the contact interactions are traction-based, and show that the adapted LS-DEM is fully discretization convergent. Lastly, we discuss the significance of convergence in capturing the physical response, as well as a few other convergence-related topics of practical importance.
