中国物理B ›› 2023, Vol. 32 ›› Issue (7): 78101-078101.doi: 10.1088/1674-1056/acbc68

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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. 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
  • 收稿日期:2022-12-20 修回日期:2023-01-28 接受日期:2023-02-16 出版日期:2023-06-15 发布日期:2023-06-29
  • 通讯作者: Chang-Sheng Zhu E-mail:zhucs_2008@163.com
  • 基金资助:
    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).

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. 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
  • Received:2022-12-20 Revised:2023-01-28 Accepted:2023-02-16 Online:2023-06-15 Published:2023-06-29
  • Contact: Chang-Sheng Zhu E-mail:zhucs_2008@163.com
  • Supported by:
    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).

摘要: 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.

关键词: multi-phase field model, GPU, grain competition growth, lattice Boltzmann model

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.

Key words: multi-phase field model, GPU, grain competition growth, lattice Boltzmann model

中图分类号:  (Solidification)

  • 81.30.Fb
81.10.Aj (Theory and models of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation)