CAJ | 학술논문

相场方法已被发掘出用于直接求解含时的自由边界问题-著名的斯特藩方程.该方法作为晶体生长过程中模拟复杂图形成因的计算工具,已呈现出强有力的生命力.目前的研究在于努力发展精巧的计算技术,以便对于晶体生长和金属凝固过程进行理论模拟,而这些技术将有可能广泛地应用于工业流程.相场方法之所以具有吸引力,基于如下事实:在计算机模拟过程中,既可避免对于边界的实时追踪,又不需要反复判别是否满足显式边界条件.在过去的10年中,它已逐步被用于研究晶体生长的基础课题.诸如:热质输运、晶体生长动力学、二维和三维枝晶生长、图形选择、生长形态和显微结构等.本文对相场方法进行评述,同时给出其最新应用结果.
상장방법이피발굴출용우직접구해함시적자유변계문제-저명적사특번방정.해방법작위정체생장과정중모의복잡도형성인적계산공구,이정현출강유력적생명력.목전적연구재우노력발전정교적계산기술,이편대우정체생장화금속응고과정진행이론모의,이저사기술장유가능엄범지응용우공업류정.상장방법지소이구유흡인력,기우여하사실:재계산궤모의과정중,기가피면대우변계적실시추종,우불수요반복판별시부만족현식변계조건.재과거적10년중,타이축보피용우연구정체생장적기출과제.제여:열질수운、정체생장동역학、이유화삼유지정생장、도형선택、생장형태화현미결구등.본문대상장방법진행평술,동시급출기최신응용결과.
The phase-field method has been explored to solve directly the full timedependent free boundary problem described as well known Stefan equations and it has recently emerged as a viable computational tool for simulating formation of complex interfacial patterns in crystal growth. Recent research efforts have led to development of sophisticated computational techniques for modeling important dynamical processes in crystal growth and solidification. These techniques are applicable to the wide range of industrial processes. Its attractiveness is from the fact that explicit tracking of the interface and explicitly satisfying interfacial boundary conditions is completely avoided. In the past decade,the phasefield method has been used to study the fundamental subjects on crystal growth, such as the transport of heat and /or solute,the kinetics of crystal growth, the two and three dimensional dendritic growth,the pattern selection,the crystal morphology and microscopic structure etc.An overview of the phasefield method and somes new results for its application are given in this paper.