Please wait a minute...
Chin. Phys. B, 2023, Vol. 32(7): 078101    DOI: 10.1088/1674-1056/acbc68
INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY Prev   Next  

GPU parallel computation of dendrite growth competition in forced convection using the multi-phase-field-lattice Boltzmann model

Zi-Hao Gao(高梓豪)1,3,5, Chang-Sheng Zhu(朱昶胜)1,2,†, and Cang-Long Wang(王苍龙)3,4,5
1 College of Computer and Communication, Lanzhou University of Technology, Lanzhou 730050, China;
2 State Key Laboratory of Gansu Advanced Processing and Recycling of Non-Ferrous Metal, Lanzhou University of Technology, Lanzhou 730050, China;
3 Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China;
4 School of Nuclear Science and Technology, University of Chinese Academy of Sciences, Beijing 100049, China;
5 Advanced Energy Science and Technology Guangdong Laboratory, Huizhou 516000, China
Abstract  A graphics-processing-unit (GPU)-parallel-based computational scheme is developed to realize the competitive growth process of converging bi-crystal in two-dimensional states in the presence of forced convection conditions by coupling a multi-phase field model and a lattice Boltzmann model. The elimination mechanism in the evolution process is analyzed for the three conformational schemes constituting converging bi-crystals under pure diffusion and forced convection conditions, respectively, expanding the research of the competitive growth of columnar dendrites under melt convection conditions. The results show that the elimination mechanism for the competitive growth of converging bi-crystals of all three configurations under pure diffusion conditions follows the conventional Walton-Chalmers model. When there is forced convection with lateral flow in the liquid phase, the anomalous elimination phenomenon of unfavorable dendrites eliminating favorable dendrites occurs in the grain boundaries. In particular, the anomalous elimination phenomenon is relatively strong in conformation 1 and conformation 2 when the orientation angle of unfavorable dendrites is small, and relatively weak in conformation 3. Moreover, the presence of convection increases the tip growth rate of both favorable and unfavorable dendrites in the grain boundary. In addition, the parallelization of the multi-phase-field-lattice Boltzmann model is achieved by designing the parallel computation of the model on the GPU platform concerning the computer-unified-device-architecture parallel technique, and the results show that the parallel computation of this model based on the GPU has absolute advantages, and the parallel acceleration is more obvious as the computation area increases.
Keywords:  multi-phase field model      GPU      grain competition growth      lattice Boltzmann model  
Received:  20 December 2022      Revised:  28 January 2023      Accepted manuscript online:  16 February 2023
PACS:  81.30.Fb (Solidification)  
  81.10.Aj (Theory and models of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 52161002, 51661020, and 11364024), the Postdoctoral Science Foundation of China (Grant No. 2014M560371), and the Funds for Distinguished Young Scientists of Lanzhou University of Technology, China (Grant No. J201304).
Corresponding Authors:  Chang-Sheng Zhu     E-mail:  zhucs_2008@163.com

Cite this article: 

Zi-Hao Gao(高梓豪), Chang-Sheng Zhu(朱昶胜), and Cang-Long Wang(王苍龙) GPU parallel computation of dendrite growth competition in forced convection using the multi-phase-field-lattice Boltzmann model 2023 Chin. Phys. B 32 078101

[1] Deng P R and Li J G 2006 Rare Metal Mater. Eng. 35 1311 (in Chinese)
[2] Trempa M, Reimann C, Friedrich J, Müller G and Oriwol D 2012 J. Crystal Growth 351 131
[3] Walton D and Chalmers B 1959 J. Heat Transf.-Trans. ASME 215 447
[4] Rappaz M and Gandin Ch A 1993 Acta Metall. Mater. 41 345
[5] Rappaz M, Gandin Ch A, Desbiolles J L and Thevoz Ph 1996 Metall. Mater. Trans. A 27 695
[6] D'souza N, Ardakani M G, Wagner A, Shollock B A and McLean M 2002 J. Mater. Sci. 37 481
[7] Zhou Y Z 2011 Scr. Mater. 65 281
[8] Meng X B, Lu Q, Zhang X L, Li J G, Chen Z Q, Wang Y H, Zhou Y Z, Jin T, Sun X F and Hu Z Q. 2012 Acta Mater. 60 3965
[9] Li J J, Wang Z J, Wang Y Q and Wang J C 2012 Acta Mater. 60 1478
[10] Asta M, Beckermann C, Karma A, Kurz W, Napolitano R, Plapp M, Purdy G, Rappaz M and Trivedi R 2009 Acta Mater. 57 941
[11] Zhu C S, Gao Z H, Lei P, Feng L and Zhao B R 2022 Chin. Phys. B 31 068102
[12] Xing H, Ji M, Dong X, Wang Y, Zhang L and Li S 2020 Mater. Design 185 108250
[13] Guo C W, Li J J, Wang Z J and Wang J C 2018 Mater. Design 151 141
[14] Laxmipathy V P, Wang F, Selzer M and Nestler B 2021 Comput. Mater. Sci. 186 109964
[15] Takaki T, Sakane S, Ohno M, Shibuta Y and Aoki T 2020 Comput. Mater. Sci. 171 109209
[16] Sun W Z, Yan R, Zhang Y Z, Dong H B and Jing T 2019 Comput. Mater. Sci. 160 149
[17] Song Y, Akamatsu S, Bottin-Rousseau S and Karma A 2018 Phys. Rev. Mater. 2 053403
[18] Ofori-Opoku N and Provatas N 2010 Acta Mater. 58 2155
[19] Karma A and Rappel W J 1998 Phys. Rev. E 57 4323
[20] Echebarria B, Karma A and Gurevich S 2010 Phys. Rev. E 81 021608
[21] Chen S and Doolen G D 1998 Ann. Rev. Fluid Mech. 30 329
[1] Multi-phase field simulation of competitive grain growth for directional solidification
Chang-Sheng Zhu(朱昶胜), Zi-Hao Gao(高梓豪), Peng Lei(雷鹏), Li Feng(冯力), and Bo-Rui Zhao(赵博睿). Chin. Phys. B, 2022, 31(6): 068102.
[2] Effect of interface anisotropy on tilted growth of eutectics: A phase field study
Mei-Rong Jiang(姜美荣), Jun-Jie Li(李俊杰), Zhi-Jun Wang(王志军), and Jin-Cheng Wang(王锦程). Chin. Phys. B, 2022, 31(10): 108101.
[3] HeTDSE: A GPU based program to solve the full-dimensional time-dependent Schrödinger equation for two-electron helium subjected to strong laser fields
Xi Zhao(赵曦), Gangtai Zhang(张刚台), Tingting Bai(白婷婷), Jun Wang(王俊), and Wei-Wei Yu(于伟威). Chin. Phys. B, 2021, 30(7): 073201.
[4] Investigation of cavitation bubble collapse in hydrophobic concave using the pseudopotential multi-relaxation-time lattice Boltzmann method
Minglei Shan(单鸣雷), Yu Yang(杨雨), Xuemeng Zhao(赵雪梦), Qingbang Han(韩庆邦), and Cheng Yao(姚澄). Chin. Phys. B, 2021, 30(4): 044701.
[5] Continuous droplet rebound on heated surfaces and its effects on heat transfer property: A lattice Boltzmann study
Qing-Yu Zhang(张庆宇), Qi-Peng Dong(董其鹏), Shan-Lin Wang(王山林), Zhi-Jun Wang(王志军), and Jian Zhou(周健). Chin. Phys. B, 2021, 30(4): 044703.
[6] Relaxation-rate formula for the entropic lattice Boltzmann model
Weifeng Zhao(赵伟峰), Wen-An Yong(雍稳安). Chin. Phys. B, 2019, 28(11): 114701.
[7] A multicomponent multiphase lattice Boltzmann model with large liquid-gas density ratios for simulations of wetting phenomena
Qing-Yu Zhang(张庆宇), Dong-Ke Sun(孙东科), Ming-Fang Zhu(朱鸣芳). Chin. Phys. B, 2017, 26(8): 084701.
[8] Fast parallel Grad-Shafranov solver for real-time equilibrium reconstruction in EAST tokamak using graphic processing unit
Yao Huang(黄耀), Bing-Jia Xiao(肖炳甲), Zheng-Ping Luo(罗正平). Chin. Phys. B, 2017, 26(8): 085204.
[9] Study of acoustic bubble cluster dynamics using a lattice Boltzmann model
Mahdi Daemi, Mohammad Taeibi-Rahni, Hamidreza Massah. Chin. Phys. B, 2015, 24(2): 024302.
[10] CORRECTIONS TO THE COLLISION TERM IN THE BGK BOLTZMANN EQUATION
Feng Shi-de (冯士德), Ren Rong-cai (任荣彩), Cui Xiao-peng (崔晓鹏), Ji Zhong-zhen (季仲贞). Chin. Phys. B, 2001, 10(12): 1106-1109.
No Suggested Reading articles found!