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Phase Field Simulation of Binary Alloy Dendrite Growth Under Thermal- and Forced-Flow Fields: An Implementation of the Parallel–Multigrid Approach

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Abstract

Dendrite growth and morphology evolution during solidification have been studied using a phase field model incorporating melt convection effects, which was solved using a robust and efficient parallel, multigrid computing approach. Single dendrite growth against the flow of the melt was studied under a wide range of growth parameters, including the Lewis number (Le) and the Prandtl number (Pr) that express the relative strengths of thermal diffusivity to solute diffusivity and kinematic viscosity to thermal diffusivity. Multidendrite growths for both columnar and equiaxed cases were investigated, and important physical aspects including solute recirculation, tip splitting, and dendrite tilting against convection have been captured and discussed. The robustness of the parallel–multigrid approach enabled the simulation of dendrite growth for metallic alloys with Le ~ 104 and Pr ~ 10−2, and the interplay between crystallographic anisotropy and local solid/liquid interfacial conditions due to convection on the tendency for tip splitting was revealed.

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Acknowledgments

The authors would like to thank the Natural Science Foundation of China (Project No. 51205229), the U.K. Royal Academy of Engineering/Royal Society through Newton International Fellowship Scheme, and the EPSRC Centre for Innovative Manufacture: Liquid Metal Engineering (EP/H026177/1) for financial support, and the Oxford Supercomputer Centre, and the National Laboratory for Information Science and Technology in Tsinghua University for granting access to the supercomputing facilities and support for the parallel programming.

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Authors and Affiliations

  1. School of Materials Science and Engineering, Tsinghua University, Beijing, 100084, P.R. China

    Zhipeng Guo (Assistant Professor) & S. Xiong (Professor)

  2. Department of Engineering, University of Hull, East Yorkshire, HU6 7RX, UK

    J. Mi (Lecturer)

  3. Department of Materials, University of Oxford, Parks Road, Oxford, OX1 3PH, UK

    P. S. Grant (Cookson Professor)

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  1. Zhipeng Guo
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  2. J. Mi
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  3. S. Xiong
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Correspondence to Zhipeng Guo.

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Manuscript submitted January 28, 2013.

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Guo, Z., Mi, J., Xiong, S. et al. Phase Field Simulation of Binary Alloy Dendrite Growth Under Thermal- and Forced-Flow Fields: An Implementation of the Parallel–Multigrid Approach. Metall Mater Trans B 44, 924–937 (2013). https://doi.org/10.1007/s11663-013-9861-5

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