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A numerical study on pattern selection in crystal growth by using anisotropic lattice Boltzmann-phase field method |
| Zhaodong Zhang(张兆栋)1, Yuting Cao(曹宇婷)1, Dongke Sun(孙东科)1, Hui Xing(邢辉)2, Jincheng Wang(王锦程)3, Zhonghua Ni(倪中华)1 |
1 School of Mechanical Engineering, Southeast University, Nanjing 211189, China;
2 MOE Key Laboratory of Material Physics and Chemistry under Extraordinary, Shaanxi Key Laboratory for Condensed Matter Structure and Properties, Northwestern Polytechnical University(NPU), Xi'an 710129, China;
3 State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an 710072, China |
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Abstract Pattern selection during crystal growth is studied by using the anisotropic lattice Boltzmann-phase field model. In the model, the phase transition, melt flows, and heat transfer are coupled and mathematically described by using the lattice Boltzmann (LB) scheme. The anisotropic streaming-relaxation operation fitting into the LB framework is implemented to model interface advancing with various preferred orientations. Crystal pattern evolutions are then numerically investigated in the conditions of with and without melt flows. It is found that melt flows can significantly influence heat transfer, crystal growth behavior, and phase distributions. The crystal morphological transition from dendrite, seaweed to cauliflower-like patterns occurs with the increase of undercoolings. The interface normal angles and curvature distributions are proposed to quantitatively characterize crystal patterns. The results demonstrate that the distributions are corresponding to crystal morphological features, and they can be therefore used to describe the evolution of crystal patterns in a quantitative way.
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Received: 09 September 2019
Revised: 31 October 2019
Accepted manuscript online:
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PACS:
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81.10.-h
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(Methods of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation)
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81.30.Fb
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(Solidification)
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68.08.De
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(Liquid-solid interface structure: measurements and simulations)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 51728601 and 51771118), the Fund of the State Key Laboratory of Solidification Processing in NPU (Grant No. SKLSP201901), and the Fundamental Research Funds for the Central Universities, China (Grant No. 2242019K1G003). |
Corresponding Authors:
Dongke Sun, Hui Xing, Zhonghua Ni
E-mail: dksun@seu.edu.cn;huixing@nwpu.edu.cn;nzh2003@seu.edu.cn
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Cite this article:
Zhaodong Zhang(张兆栋), Yuting Cao(曹宇婷), Dongke Sun(孙东科), Hui Xing(邢辉), Jincheng Wang(王锦程), Zhonghua Ni(倪中华) A numerical study on pattern selection in crystal growth by using anisotropic lattice Boltzmann-phase field method 2020 Chin. Phys. B 29 028103
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