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中国物理学会期刊

基于元胞自动机-格子玻尔兹曼模型的枝晶碰撞行为模拟

CSTR: 32037.14.aps.70.20211292

Simulation of dendrite collision behavior based on cellular automata-lattice Boltzmann model

CSTR: 32037.14.aps.70.20211292
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  • 合金凝固过程中, 游离枝晶在熔体中的运动行为是研究合金凝固组织形成过程的关键问题之一. 元胞自动机-格子玻尔兹曼耦合模型是近年来进行凝固微观组织数值模拟的主要数值模型. 本文改进了模拟枝晶生长的元胞自动机和格子玻尔兹曼模型, 使其能够模拟过冷熔体中等轴晶的运动行为. 改进的模型采用伽利略不变的动量交换法计算流体力, 通过求解质心运动方程计算枝晶的运动位移, 并通过动网格技术实现枝晶的运动, 运用硬球模型处理枝晶的碰撞. 采用该模型模拟了Al-4.7%Cu合金过冷熔体中单枝晶的沉降、牛顿流体中两圆形粒子的沉降和两枝晶的弹性碰撞. 模拟结果表明, 本模型在计算枝晶生长运动过程时可以很好地维持枝晶的形貌. 采用本模型计算等轴枝晶的碰撞过程表明, 枝晶的运动会扰动其周围的熔体, 造成周围熔体浓度显著变化, 进而影响枝晶的生长, 加剧枝晶生长的不对称性.

     

    In the alloy solidification process, the movement behavior of free dendrites in the melt is one of the key issues in studying the formation process of the alloy solidification structure. The cellular automata-lattice Boltzmann coupling model has become a main numerical model for numerical simulation of solidification microstructure in recent years. In this paper, cellular automata and lattice Boltzmann model for simulating dendrite growth are improved to simulate the movement of equiaxed grains in undercooled melt. In the improved model, the Galilean invariant momentum exchange method is used to calculate the fluid force, the motion equation of the center of mass is solved to calculate the motion displacement of the dendrite, the motion of the dendrite is realized through the dynamic mesh technology, and the rigid sphere model is used to deal with the collision of the dendrite. The settlement of a single dendrite in the undercooled melt of Al-4.7% Cu alloy, the settlement of two round particles in the Newtonian fluid, and the elastic collision of two dendrites are all simulated by this model. The simulation results show that this model can maintain the morphology of dendrites well in the process of calculating dendrite growth motion, and this model can calculate the collision process of irregular dendrites. The movement of dendrite disturbs the melt around it, resulting in a significant change in the concentration of melt around it, which affects the growth of dendrite and aggravates the asymmetry of dendrite growth.

     

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