Numerical simulation of cellular automata-multiple relaxation time lattice Boltzmann for three-dimensional dendrite motion

IF 5 2区 工程技术 Q1 ENGINEERING, MECHANICAL International Journal of Thermal Sciences Pub Date : 2025-01-27 DOI:10.1016/j.ijthermalsci.2025.109737
Shijie Zhang, Yunbo Li, Siyu Zhang, Baofeng Zhu, Ri Li
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Abstract

A cellular automata-multiple relaxation time lattice Boltzmann three-dimensional coupled model with a dynamic grid has been developed for the objective of simulating the kinematic growth process of binary alloy dendrites. In this model, the cellular automata approach is applied to calculate the dendrite growth, and the multiple relaxation time lattice Boltzmann approach is utilized to emulate the melt flow. Furthermore, a dynamic grid scheme with one level of refinement in comparison to the global grid is proposed as a means of addressing the issue of dendrite motion with the sharp interface. This approach is intended to reduce the considerable memory requirements associated with three-dimensional simulations, while also facilitating acceleration through the use of a graphics processing unit. Lastly, the constructed model was utilized to emulate the translational, rotational and free settling processes of a three-dimensional individual dendrite within laminar, shear and natural convection flows, as well as the settling of multiple dendrites, respectively. The findings of the simulation indicate that the growth of the dendrites in solid solution alloys is predominantly influenced by the local solute composition. Moreover, the impact of dendrite movement on its growth rate is primarily associated with the relative velocity of the dendrite and the melt.
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三维枝晶运动的元胞自动机-多重松弛时间晶格玻尔兹曼数值模拟
为了模拟二元合金枝晶的运动生长过程,建立了元胞自动机-多重松弛时间点阵玻尔兹曼三维动态网格耦合模型。该模型采用元胞自动机方法计算枝晶生长,采用多重松弛时间晶格玻尔兹曼方法模拟熔体流动。此外,提出了一种比全局网格细化一级的动态网格方案,作为解决具有尖锐界面的枝晶运动问题的一种手段。这种方法旨在减少与三维模拟相关的大量内存需求,同时通过使用图形处理单元促进加速。最后,利用所构建的模型分别模拟了三维单个枝晶在层流、切变和自然对流中的平动、旋转和自由沉降过程,以及多个枝晶的沉降过程。模拟结果表明,固溶体合金中枝晶的生长主要受局部溶质组成的影响。此外,枝晶运动对其生长速率的影响主要与枝晶和熔体的相对速度有关。
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来源期刊
International Journal of Thermal Sciences
International Journal of Thermal Sciences 工程技术-工程:机械
CiteScore
8.10
自引率
11.10%
发文量
531
审稿时长
55 days
期刊介绍: The International Journal of Thermal Sciences is a journal devoted to the publication of fundamental studies on the physics of transfer processes in general, with an emphasis on thermal aspects and also applied research on various processes, energy systems and the environment. Articles are published in English and French, and are subject to peer review. The fundamental subjects considered within the scope of the journal are: * Heat and relevant mass transfer at all scales (nano, micro and macro) and in all types of material (heterogeneous, composites, biological,...) and fluid flow * Forced, natural or mixed convection in reactive or non-reactive media * Single or multi–phase fluid flow with or without phase change * Near–and far–field radiative heat transfer * Combined modes of heat transfer in complex systems (for example, plasmas, biological, geological,...) * Multiscale modelling The applied research topics include: * Heat exchangers, heat pipes, cooling processes * Transport phenomena taking place in industrial processes (chemical, food and agricultural, metallurgical, space and aeronautical, automobile industries) * Nano–and micro–technology for energy, space, biosystems and devices * Heat transport analysis in advanced systems * Impact of energy–related processes on environment, and emerging energy systems The study of thermophysical properties of materials and fluids, thermal measurement techniques, inverse methods, and the developments of experimental methods are within the scope of the International Journal of Thermal Sciences which also covers the modelling, and numerical methods applied to thermal transfer.
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