Phase-Field Simulation of Three-Dimensional Dendritic Growth

Abstract:

Based on a thin interface limit 3D phase-field model by coupled the anisotropy of interfacial energy and self-designed AADCR to improve on the computational methods for solving phase-field, 3D dendritic growth in pure undercooled melt is implemented successfully. The simulation authentically recreated the 3D dendritic morphological fromation, and receives the dendritic growth rule being consistent with crystallization mechanism. An example indicates that AADCR can decreased 70% computational time compared with not using algorithms for a 3D domain of size 300×300×300 grids, at the same time, the accelerated algorithms’ computed precision is higher and the redundancy is small, therefore, the accelerated method is really an effective method.

• Periodical: Advanced Materials Research (Volumes 97-101)
• Pages: 3769-3772
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.97-101.3769
• Online since: March 2010
• Authors: Chang Sheng Zhu, Jun Wei Wang
• Keywords: Dendritic Growth, Numerical Simulation, Phase Field Modellig, Three-Dimensional

References

[1] A. Karma and W.J. Rappel: Phys. Rev. E Vol. 64 (2001) , p.1.

[2] S.C. Huang M.E. Glicksman: Acta Metallurgica Vol. 29，(1981) , p.701.

[3] W.C. Chen L.C. Jian: JOURNAL OF SYNTHETIC CRYSTALS Vol. 31， (2002) , p.245.

[4] A. Karma and W.J. Rappel: Phys. Rev. E Vol. 77 (1996) , p.4050.

[5] A. Karma and W.J. Rappel: Phys. Rev. E Vol. 57 (1998) , p.4323.

[6] M. Conti: Phys. Rev. E Vol. 55 (1997) , p.765.

[7] J. H. Jeong, N. Goldenfeld and J. A. Dantzig: Phys. Rev. E Vol. 64(2001) , p.041602.