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Kobayashi, Ryo

A numerical approach to three-dimensional dendritic solidification. (English) Zbl 0811.65126

Exp. Math. 3, No. 1, 59-81 (1994).
The author considers pattern formation during the supercooling solidification of a pure material. A phase field model is used which gives rise to a rich variety of 3-dimensional patterns, including very realistic dendritic crystal forms. It is shown that the anisotropy has a crucial influence on the shape of the crystals.
Reviewer: F.Zhang (Canberra)

Cited in 1 Review
Cited in 22 Documents

MSC:

65Z05 Applications to the sciences
35Q72 Other PDE from mechanics (MSC2000)
82D25 Statistical mechanics of crystals

Keywords:

dendritic solidification; numerical simulations; pattern formation; supercooling solidification; phase field model; crystal forms
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\textit{R. Kobayashi}, Exp. Math. 3, No. 1, 59--81 (1994; Zbl 0811.65126)
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