过冷
计算
接口(物质)
相(物质)
动能
材料科学
产量(工程)
领域(数学)
机械
热力学
统计物理学
稳态(化学)
相场模型
功能(生物学)
物理
毛细管作用
计算机科学
经典力学
数学
算法
化学
物理化学
毛细管数
量子力学
纯数学
进化生物学
生物
作者
Alain Karma,Wouter‐Jan Rappel
出处
期刊:Physical review
日期:1996-04-01
卷期号:53 (4): R3017-R3020
被引量:643
标识
DOI:10.1103/physreve.53.r3017
摘要
We present mathematical results which dramatically enhance the computational efficiency of the phase-field method for modeling the solidification of a pure material. These results make it possible to resolve a smaller capillary length to interface thickness ratio and thus render smaller undercooling and three-dimensional computations accessible. Furthermore, they allow one to choose computational parameters to produce a Gibbs-Thomson condition with an arbitrary kinetic coefficient. The method is tested for dendritic growth in two dimensions with zero kinetic coefficient. Simulations yield dendrites with tip velocities and tip shapes which agree within a few percent with numerical Green's function solutions of the steady-state growth problem.
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