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A Parallel Cellular Automata Lattice Boltzmann Method for Convection-Driven Solidification.

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This study couples cellular automata and lattice Boltzmann methods for efficient 3D convection-driven microstructure simulations. This approach enables practical time-scale simulations for materials science and engineering applications.

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Area of Science:

  • Computational Materials Science
  • Fluid Dynamics
  • Materials Processing

Background:

  • Simulating convection-driven microstructures requires computationally efficient methods.
  • Existing methods like cellular automata (CA) and lattice Boltzmann (LB) have strengths but are often used separately.
  • Coupling these methods can overcome individual limitations for complex simulations.

Purpose of the Study:

  • To develop and validate a novel coupled numerical technique for 3D convection-driven microstructure simulations.
  • To enable simulations on practical time scales for small-size components and experiments.
  • To capture both microstructural and meso-/macroscale phenomena in alloy solidification.

Main Methods:

  • Coupling of cellular automata (CA) for microstructural evolution and lattice Boltzmann method (LBM) for fluid dynamics.
  • Parallelization of both CA and LBM methods within a single computational code.
  • Validation against benchmark cases and extension to directional solidification with solute plumes.

Main Results:

  • Demonstrated efficient 3D convection-driven microstructure simulations on practical time scales.
  • Successfully captured solute plume behavior in directional solidification.
  • Modeled alloy solidification in a differentially heated cavity, integrating microstructural and larger-scale phenomena.

Conclusions:

  • The coupled CA-LBM approach provides a powerful tool for simulating complex solidification processes.
  • This method significantly enhances the efficiency and scope of microstructure simulations.
  • The validated model can be applied to a range of materials processing and engineering problems.