Numerical simulation on dendritic growth of Al-Cu alloy under convection based on the cellular automaton lattice Boltzmann method

doi:10.1088/1674-1056/ac7211

中国物理B ›› 2022, Vol. 31 ›› Issue (9): 98105-098105.doi: 10.1088/1674-1056/ac7211

Numerical simulation on dendritic growth of Al-Cu alloy under convection based on the cellular automaton lattice Boltzmann method

Kang-Wei Wang(王康伟)^1,2, Meng-Wu Wu(吴孟武)^1,2,†, Bing-Hui Tian(田冰辉)^1,2, and Shou-Mei Xiong(熊守美)³

1 School of Automotive Engineering, Wuhan University of Technology, Wuhan 430070, China;
2 Hubei Key Laboratory of Advanced Technology for Automotive Components, Wuhan University of Technology, Wuhan 430070, China;
3 School of Materials Science and Engineering, Tsinghua University, Beijing 100084, China

收稿日期:2022-01-28 修回日期:2022-04-20 接受日期:2022-05-23 出版日期:2022-08-19 发布日期:2022-08-19
通讯作者: Meng-Wu Wu E-mail:wumw@whut.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 51805389), the Key R&D Program of Hubei Province, China (Grant No. 2021BAA048), the 111 Project (Grant No. B17034) and the fund of Hubei Key Laboratory of Advanced Technology for Automotive Components, Wuhan University of Technology (Grant No. XDQCKF2021011).

Numerical simulation on dendritic growth of Al-Cu alloy under convection based on the cellular automaton lattice Boltzmann method

Kang-Wei Wang(王康伟)^1,2, Meng-Wu Wu(吴孟武)^1,2,†, Bing-Hui Tian(田冰辉)^1,2, and Shou-Mei Xiong(熊守美)³

1 School of Automotive Engineering, Wuhan University of Technology, Wuhan 430070, China;
2 Hubei Key Laboratory of Advanced Technology for Automotive Components, Wuhan University of Technology, Wuhan 430070, China;
3 School of Materials Science and Engineering, Tsinghua University, Beijing 100084, China

Received:2022-01-28 Revised:2022-04-20 Accepted:2022-05-23 Online:2022-08-19 Published:2022-08-19
Contact: Meng-Wu Wu E-mail:wumw@whut.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 51805389), the Key R&D Program of Hubei Province, China (Grant No. 2021BAA048), the 111 Project (Grant No. B17034) and the fund of Hubei Key Laboratory of Advanced Technology for Automotive Components, Wuhan University of Technology (Grant No. XDQCKF2021011).

摘要/Abstract

摘要： A numerical model is developed by coupling the cellular automaton (CA) method and the lattice Boltzmann method (LBM) to simulate the dendritic growth of Al-Cu alloy in both two and three dimensions. An improved decentered square algorithm is proposed to overcome the artificial anisotropy induced by the CA cells and to realize simulation of dendritic growth with arbitrary orientations. Based on the established CA-LBM model, effects of forced convection and gravity-driven natural convection on dendritic growth are studied. The simulation results show that the blocking effect of dendrites on melt flow is advanced with a larger number of seeds. The competitive growth of the converging columnar dendrites is determined by the interaction between heat flow and forced convection. Gravity-driven natural convection leads to highly asymmetric growth of equiaxed dendrites. With sinking downwards of the heavy solute, chimney-like or mushroom-like solute plumes are formed in the melt in front of the columnar dendrites when they grow along the gravitational direction. More details on dendritic growth of Al-Cu alloy under convection are revealed by 3D simulations.

关键词: simulation, cellular automaton, dendritic growth, melt convection

Abstract: A numerical model is developed by coupling the cellular automaton (CA) method and the lattice Boltzmann method (LBM) to simulate the dendritic growth of Al-Cu alloy in both two and three dimensions. An improved decentered square algorithm is proposed to overcome the artificial anisotropy induced by the CA cells and to realize simulation of dendritic growth with arbitrary orientations. Based on the established CA-LBM model, effects of forced convection and gravity-driven natural convection on dendritic growth are studied. The simulation results show that the blocking effect of dendrites on melt flow is advanced with a larger number of seeds. The competitive growth of the converging columnar dendrites is determined by the interaction between heat flow and forced convection. Gravity-driven natural convection leads to highly asymmetric growth of equiaxed dendrites. With sinking downwards of the heavy solute, chimney-like or mushroom-like solute plumes are formed in the melt in front of the columnar dendrites when they grow along the gravitational direction. More details on dendritic growth of Al-Cu alloy under convection are revealed by 3D simulations.

Key words: simulation, cellular automaton, dendritic growth, melt convection

中图分类号: (Solidification)

81.30.Fb

47.11.-j (Computational methods in fluid dynamics) 68.08.De (Liquid-solid interface structure: measurements and simulations) 81.10.-h (Methods of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation)

Kang-Wei Wang(王康伟), Meng-Wu Wu(吴孟武), Bing-Hui Tian(田冰辉), and Shou-Mei Xiong(熊守美). Numerical simulation on dendritic growth of Al-Cu alloy under convection based on the cellular automaton lattice Boltzmann method[J]. 中国物理B, 2022, 31(9): 98105-098105.

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Numerical simulation on dendritic growth of Al-Cu alloy under convection based on the cellular automaton lattice Boltzmann method

Numerical simulation on dendritic growth of Al-Cu alloy under convection based on the cellular automaton lattice Boltzmann method

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