Experimental Mathematics

A numerical approach to three-dimensional dendritic solidification

Ryo Kobayashi

Full-text: Open access

Abstract

We consider pattern formation during the supercooling solidification of a pure material, using a phase field model. The model gives rise to a rich variety of \threed/ patterns, including very realistic dendritic crystal forms. We show how the strength of anisotropy has a crucial influence on the shape of crystals.

Article information

Source
Experiment. Math., Volume 3, Issue 1 (1994), 59-81.

Dates
First available in Project Euclid: 3 September 2003

Permanent link to this document
https://projecteuclid.org/euclid.em/1062621004

Mathematical Reviews number (MathSciNet)
MR1302819

Zentralblatt MATH identifier
0811.65126

Subjects
Primary: 73B30
Secondary: 73B40 80A22: Stefan problems, phase changes, etc. [See also 74Nxx]

Citation

Kobayashi, Ryo. A numerical approach to three-dimensional dendritic solidification. Experiment. Math. 3 (1994), no. 1, 59--81. https://projecteuclid.org/euclid.em/1062621004


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