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Chin. Phys. B, 2022, Vol. 31(9): 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
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.
Keywords:  simulation      cellular automaton      dendritic growth      melt convection  
Received:  28 January 2022      Revised:  20 April 2022      Accepted manuscript online:  23 May 2022
PACS:  81.30.Fb (Solidification)  
  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)  
Fund: 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).
Corresponding Authors:  Meng-Wu Wu     E-mail:

Cite this article: 

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 2022 Chin. Phys. B 31 098105

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