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

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

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.

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).
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.

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

Area of Science:

Background:

Purpose of the Study:

Main Methods:

Main Results:

Conclusions:

Related Concept Videos

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