A two-dimensional coupled model of the cellular automaton (CA) and the lattice Boltzmann method (LBM) was developed to simulate the solute dendrite growth of Fe–C–Mn–S alloy in the presence of forced convection. The model describes the transport phenomenon by the evolution of moving pseudo-particles distribution functions and utilizes the LBM to solve fluid flow and solute transport under forced convection numerically. Based on the solute field calculated by the CA technique, the dynamics of dendrite growth were determined by the previously proposed local solute balance method. The accuracy of the forced convection dendrite growth model was verified by comparing the CA-LBM model with Lipton–Glicksman–Kurz analytical model. It is revealed that the dendrite symmetry structure is destroyed compared to free diffusion, and the upstream arm is more developed than the downstream arm of the dendrite. The enriched solute segregates more at the downstream side than at the upstream side of the dendrite. The length of the upstream dendrite arm increases firstly and then becomes stable with the increase in the flow velocity, the dendrite necking is restrained, and the vertical dendrite arm becomes longer.

建立了细胞自动机（CA）和晶格玻尔兹曼方法（LBM）的二维耦合模型，以模拟在强制对流条件下Fe–C–Mn–S合金的溶质枝晶生长。该模型通过移动伪粒子分布函数的演化描述了输运现象，并利用LBM数值求解了强迫对流下的流体流动和溶质运移。基于CA技术计算的溶质场，通过先前提出的局部溶质平衡法确定枝晶生长的动力学。通过将CA-LBM模型与Lipton-Glicksman-Kurz分析模型进行比较，验证了强制对流枝晶生长模型的准确性。结果表明，与自由扩散相比，树枝状晶体的对称结构受到破坏，上游臂比树枝状结构的下游臂发达。富集的溶质在树突的下游比在树突的上游偏析更多。上游枝晶臂的长度先增大，然后随着流速的增加而变得稳定，枝晶颈缩受到限制，垂直枝晶臂的长度变长。