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Computationally efficient phase-field models with interface kinetics.

Kalin Vetsigian1, Nigel Goldenfeld

  • 1Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 3, 2004
PubMed
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This study introduces an efficient phase-field model for solidification, excelling when interface kinetics are more significant than capillary effects. The model simplifies parameter relations for broad material applications.

Area of Science:

  • Materials Science
  • Computational Physics
  • Chemical Engineering

Background:

  • Solidification processes are crucial in materials science and engineering.
  • Traditional sharp-interface models can be computationally intensive.
  • Understanding the interplay between interface kinetics and capillary effects is key.

Purpose of the Study:

  • To develop an efficient phase-field model for solidification.
  • To accurately capture regimes where interface kinetic effects dominate capillary effects.
  • To provide a computationally tractable model for diverse material parameters.

Main Methods:

  • Development of a novel phase-field model.
  • Asymptotic analysis to connect phase-field parameters with sharp-interface model parameters.

Related Experiment Videos

  • Validation across a range of material parameters.

    • Main Results:

    • The proposed phase-field model allows for efficient computations.
    • The model effectively captures solidification behavior dominated by interface kinetics.
    • Straightforward asymptotic analysis simplifies parameter mapping.

    Conclusions:

    • The developed phase-field model offers an efficient computational tool for solidification studies.
    • It is particularly advantageous in scenarios where interface kinetics are dominant.
    • The model's versatility supports applications across various materials.