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Related Experiment Videos

Phase field model for three-dimensional dendritic growth with fluid flow.

J H Jeong1, N Goldenfeld, J A Dantzig

  • 1Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 3, 2001
PubMed
Summary

This study explores how fluid flow impacts 3D dendrite growth using a phase-field model. Results show 3D dendritic growth physics differs significantly from 2D, with implications for material science.

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Area of Science:

  • Materials Science
  • Computational Physics
  • Fluid Dynamics

Background:

  • Dendrite growth is crucial in materials science, influencing properties of cast metals and alloys.
  • Understanding the impact of fluid flow on dendrite morphology is essential for controlling microstructure.
  • Previous models often simplified fluid flow or focused on 2D simulations.

Purpose of the Study:

  • To investigate the effect of fluid flow on three-dimensional (3D) dendrite growth.
  • To develop and validate a computational framework for simulating coupled fluid flow and dendrite growth.
  • To compare 3D growth physics with established 2D theories.

Main Methods:

  • Utilized a phase-field model on an adaptive finite-element grid.
  • Implemented an averaging method for 3D fluid flow coupled with the phase-field method and semi-implicit approximated projection method (SIAPM).

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  • Developed a parallel implementation using the CHARM++ FEM framework and an improved method for extracting dendrite tip characteristics.

    • Main Results:

    • Successfully simulated 3D dendrite growth under fluid flow conditions.
    • Demonstrated the efficiency of the parallel implementation.
    • Validated 2D growth results against solvability theory, showing good agreement.
    • Observed significant differences in the physics of 3D dendritic growth compared to 2D.

    Conclusions:

    • The computational framework effectively simulates 3D dendrite growth with fluid flow.
    • Fluid flow introduces complex behaviors in 3D dendrite morphology not seen in 2D.
    • This work provides a foundation for further studies into fluid-flow-influenced solidification processes.