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

IF 4.9 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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来源期刊

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.