Abstract Discrete modeling of particle-fluid interaction was of great importance for its wide applications in chemical, petroleum and geotechnical engineering. Using Immersed Boundary Method (IBM) to couple Discrete Element Method (DEM) with Lattice Boltzmann Method (LBM) was adopted by many researchers to study particle-fluid systems. However, to accurately simulate the behavior of a large number of particles in the fluid, a huge computational power wasrequired to fully resolved the motion of each particle and an intensive search of particles’ contacts was needed to account for the collision between particles. In this paper, a periodic boundary was proposed for coupling DEM with LBM using IBM and an efficient particle contact detection algorithm was developed to further reduce the computation cost. The model was validated by several well-defined benchmark including: a single particle settling in a box, particle spinning in a channel and the well-known ‘Drafting, Kissing and Tumbling’ (DKT) effect of two settling disks. The model's applicability was exhibited in the simulation of sediments movement in a channel, which agreed well with previous experiments. These results showed the potential usage of present numerical model to investigate in particle-fluid interaction systems.

中文翻译：

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使用离散元格子玻尔兹曼方法的粒子-流体相互作用的有效框架：耦合方案和周期性边界条件

摘要 颗粒-流体相互作用的离散建模对其在化学、石油和岩土工程中的广泛应用具有重要意义。使用浸入边界法 (IBM) 将离散元法 (DEM) 与格子玻尔兹曼法 (LBM) 结合起来，被许多研究人员用来研究粒子-流体系统。然而，为了准确模拟流体中大量粒子的行为，需要巨大的计算能力来完全解析每个粒子的运动，并且需要对粒子的接触进行深入搜索来解释粒子之间的碰撞。在本文中，提出了使用 IBM 将 DEM 与 LBM 耦合的周期边界，并开发了一种有效的粒子接触检测算法，以进一步降低计算成本。该模型已通过几个明确定义的基准进行验证，包括：单个粒子在盒子中沉降、粒子在通道中旋转以及众所周知的两个沉降盘的“牵伸、接吻和翻滚”(DKT) 效应。该模型在河道内沉积物运动的模拟中表现出适用性，与前人的实验结果吻合较好。这些结果显示了当前数值模型在粒子-流体相互作用系统中研究的潜在用途。