A three-dimensional numerical model has been developed to quantify the predominant phenomena roles on dynamics alumina particles between an electrolytic bath and the vicinity of gas bubbles. At the particle scale, the bath, regarded as turbulent flow, was modeled by a steady plane shear flow and solved using a lattice Boltzmann method. The coupling between the fluid and particle phases is carried out using an immersed boundary method to tackle the interface. This numerical scheme resolves the hydrodynamic perturbation induced by the alumina particles, and hence their interactions are described by Lagrangian particle tracking. The hydrodynamic effects combined with mechanical and thermal responses on the computation of the fluid system's stress intensity factors were investigated. An excellent convergence and accuracy were achieved for the transport and interaction of the alumina particle model.

已经开发了三维数值模型来量化在电解浴和气泡附近之间的动力学氧化铝颗粒上的主要现象作用。在粒子尺度上，通过稳定的平面剪切流对被认为是湍流的熔池进行建模，并使用晶格玻尔兹曼方法进行求解。流体相和颗粒相之间的耦合是使用沉浸边界方法进行的，以解决界面问题。该数值方案解决了由氧化铝颗粒引起的流体动力扰动，因此，它们的相互作用通过拉格朗日颗粒跟踪来描述。研究了流体动力效应以及机械和热响应对流体系统应力强度因子计算的影响。