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Efficient phase field simulation of a binary dendritic growth in a forced flow.

C W Lan1, C J Shih

  • 1Department of Chemical Engineering, National Taiwan University, Taipei 10617, Taiwan, Republic of China. cwlan@ccms.ntu.edu.tw

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2004
PubMed
Summary

This study presents an efficient phase field simulation for binary dendritic growth in forced flow. The method accurately models growth dynamics, aligning with theoretical predictions under convection.

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Adaptive phase field simulation of dendritic growth in a forced flow at various supercoolings.

Physical review. E, Statistical, nonlinear, and soft matter physics·2002

Area of Science:

  • Materials Science
  • Computational Physics
  • Chemical Engineering

Background:

  • Dendritic growth is crucial in solidification processes.
  • Accurate simulation of dendritic growth in forced flow remains challenging.
  • Phase field models offer a powerful tool for studying microstructure evolution.

Purpose of the Study:

  • To develop an efficient quantitative phase field simulation for binary dendritic growth.
  • To investigate the impact of interface thickness and antisolutal trapping.
  • To validate the simulation against established theoretical models in forced flow conditions.

Main Methods:

  • Adaptive finite volume method for phase field simulation.
  • Antisolutal trapping scheme to handle interface thickness effects.

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  • Comparison with sharp-interface Gibbs-Thompson equation and Oseen-Ivantsov solution.

    • Main Results:

    • An efficient simulation method is achieved using an adaptive finite volume approach.
    • A proper antisolutal trapping flux allows for a thicker interface, approaching sharp-interface limits.
    • Simulations show good agreement with the Oseen-Ivantsov solution for concentration-driven growth.
    • The selection scaling factor increases with external flow, matching theoretical predictions.

    Conclusions:

    • The proposed phase field simulation method is efficient and accurate for binary dendritic growth in forced flow.
    • The antisolutal trapping scheme effectively bridges the gap between diffuse and sharp interface models.
    • The study validates the model's capability to predict dendritic growth behavior under convective conditions.