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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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[1] |
Gao Y, Lu Y, Kong L, Deng Q, Huang L and Luo Z 2018 Acta Metall. Sin. 54 278
|
[2] |
Wang J, Guo C, Zhang Q, Tang S, Li J and Wang Z 2018 Acta Metall. Sin. 54 204
|
[3] |
Provatas N, Wang Q, Haataja M and Grant M 2003 Phys. Rev. Lett. 91 155502
|
[4] |
Chen Y, Billia B, Li D Z, Nguyen-Thi H, Xiao N M and Bogno A A 2014 Acta Mater. 66 219
|
[5] |
Xing H, Dong X, Wu H, Hao G, Wang J, Chen C and Jin K 2016 Sci. Rep. 6 26625
|
[6] |
Echebarria B, Folch R, Karma A and Plapp M 2005 Phy. Rev. E 70 061604
|
[7] |
Beckermann C, Diepers H J, Steinbach I, Karma A and Tong X 1999 J. Comput. Phys. 154 468
|
[8] |
Tong X, Beckermann C, Karma A and Li Q 2001 Phy. Rev. E 63 1
|
[9] |
Zhu M F, Lee S Y and Hong C P 2004 Phys. Rev. E 69 061610
|
[10] |
Chen S, Chen H, Martinez D and Matthaeus W H 1991 Phys. Rev. Lett. 67 3776
|
[11] |
Qian Y H, d'Humiéres D and Lallemand P 1992 Europhys. Lett. 17 479
|
[12] |
Miller W 2001 J. Cryst. Growth 230 263
|
[13] |
Chakraborty S and Chatterjee D 2007 J. Fluid. Mech. 592 155
|
[14] |
Sun D K, Zhu M F, Pan S Y and Raabe D 2009 Acta Mater. 57 1755
|
[15] |
Sakane S, Takaki T, RojasR, Ohno M, Shibuta Y, Shimokawabe T and Aoki T 2017 J. Cryst. Growth 474 154
|
[16] |
Medvedev D, Fischaleck T and Kassner K 2007 J. Cryst. Growth 303 69
|
[17] |
Zhang X, Kang J, Guo Z, Xiong S and Han Q 2018 Comput. Phys. Commun. 223 18
|
[18] |
Rojas R, Takaki T and Ohno M 2015 J. Comput. Phys. 298 29
|
[19] |
Takaki T, Sato R, Rojas R, Ohno M and Shibuta Y 2018 Comput. Mater. Sci. 147 124
|
[20] |
Cartalade A, Younsi A and Plapp M 2016 Comput. Math. Appl. 71 1784
|
[21] |
Younsi A and Cartalade A 2016 J. Comput. Phys. 325 1
|
[22] |
Sun D K, Xing H, Dong X and Han Q 2019 Int. J. Heat Mass Transfer 133 1240
|
[23] |
Xing H, Ji M, Dong X, Wang Y, Zhang L and Li S 2020 Mater. Des. 185 108250
|
[24] |
Sun D K, Zhu M F, Pan S Y, Yang C R and Raabe D 2011 Comput. Math. Appl. 61 3585
|
[25] |
d'Humiéres D 2002 Phil. Trans. R. Soc. Lond. A 360 437
|
[26] |
Guo Z and Zheng C 2002 Int. J. Comput. Fluid D 22 465
|
[27] |
Chai Z H and Zhao T S 2012 Phys. Rev. E 86 016705
|
[28] |
Maier R S, Bernard R S and Grunau D W 1996 Phys. Fluids 8 1788
|
[29] |
Dardis O and McCloskey J 1998 Phys. Rev. E 57 4834
|
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