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Modeling crystal growth in a diffusion field using fully faceted interfaces. (English) Zbl 0805.65128

The authors discuss a new computational model of crystal growth in which it is assumed that the crystal is a polygon with a limited number of possible normal directions. The paper is almost entirely descriptive with very few formulae. A large number of diagrams is given which represent the results of calculations using various parameters. It is pointed out that the computer programs (not given) are written in \(C++\) so that the computer structures can closely emulate the physical structures which they represent.

MSC:

65Z05 Applications to the sciences
82D25 Statistical mechanics of crystals
80A22 Stefan problems, phase changes, etc.
35Q72 Other PDE from mechanics (MSC2000)
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