NUMERICAL SIMULATIONS OF UNSTEADY CRYSTAL-GROWTH

被引：29

作者：

BRATTKUS, K

MEIRON, DI

机构：

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1992年 / 52卷 / 05期

关键词：

STEFAN PROBLEM; BOUNDING INTEGRAL METHODS; RAPID SOLIDIFICATION;

D O I：

10.1137/0152075

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An efficient algorithm is developed to numerically compute solutions of problems related to crystal growth. The method is based on an integral equation formulation that involves an integration over the entire history of the growth. A direct calculation of this memory integral becomes more costly as time increases, but an indirect method is presented that has a fixed operation cost per timestep. The one-dimensional procedure is tested and applied to the problem of rapid directional solidification where the nonlinear development of a recently discovered oscillatory instability is followed.

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页码：1303 / 1320

页数：18

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