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Large-Scale Three-Dimensional Simulation of Dendritic Solidification Using Lattice Boltzmann Method

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Abstract

A parallel three-dimensional (3D) lattice Boltzmann (LB)-cellular automaton (CA) model is developed to simulate dendritic growth during solidification of metallic binary alloys. The LB method was used to solve the transport equations and a CA algorithm was employed to capture the solid/liquid interface. The model is capable of simulating the evolution of solidification microstructures containing thousands of dendrites in a macroscale domain with approximately 36 billion grid points. The simulation results for columnar dendrite growth in a 1-mm3 region are presented. The parallel model shows a great scale-up performance on up to 40,000 computing cores and an excellent speed-up performance on up to 1000 cores. The model presented in this article helps to pave the way for direct numerical simulation of solidification microstructures in large macroscale domains as the technique can be efficiently implemented on massively parallel supercomputers.

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Acknowledgements

This work was funded by the National Science Foundation through Grant Number CBET-0931801. The authors also acknowledge The University of Akron; California State University, Los Angeles; and the Center for Advanced Vehicular Systems (CAVS) in Mississippi State University for their sponsorship and XSEDE for providing the computational resources.

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Authors and Affiliations

  1. Department of Mechanical Engineering, California State University, Los Angeles, Los Angeles, CA, 90032, USA

    Mohsen Eshraghi

  2. Center for Advanced Vehicular Systems, Mississippi State University, Mississippi State, MS, 39762, USA

    Bohumir Jelinek

  3. Department of Mechanical Engineering, The University of Akron, Akron, OH, 44325, USA

    Sergio D. Felicelli

Authors
  1. Mohsen Eshraghi
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  2. Bohumir Jelinek
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  3. Sergio D. Felicelli
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Correspondence to Mohsen Eshraghi.

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Eshraghi, M., Jelinek, B. & Felicelli, S.D. Large-Scale Three-Dimensional Simulation of Dendritic Solidification Using Lattice Boltzmann Method. JOM 67, 1786–1792 (2015). https://doi.org/10.1007/s11837-015-1446-0

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  • DOI: https://doi.org/10.1007/s11837-015-1446-0

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