Quantification of mesh induced anisotropy effects in the phase-field method

Quantification of mesh induced anisotropy effects in the phase-field method
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DOI:
10.1016/j.commatsci.2005.02.017
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发表时间:
2006-06
影响因子:
3.3
通讯作者:
A. Mullis
A. Mullis
中科院分区:
材料科学3区
文献类型:
--
作者:
A. Mullis

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相场建模是目前最强大的技术之一,可用于从第一原理模拟复杂凝固微观结构随时间的演化。然而,除非小心,否则用于求解由凝固问题的相场公式产生的偏微分方程组的计算网格可能会引入杂散或隐式各向异性,这在定量计算中是非常不希望的。在本文中,我们将这种效应量化为各种计算参数的函数,并随后提出了减轻这种杂散各向异性影响的技术。
Phase-field modelling is one of the most powerful techniques currently available for the simulation from first principles the time-dependant evolution of complex solidification microstructures. However, unless care is taken the computational mesh used to solve the set of partial differential equations that result from the phase-field formulation of the solidification problem may introduce a stray, or implicit, anisotropy, which would be highly undesirable in quantitative calculations. In this paper, we quantify this effect as a function of various computational parameters and subsequently suggest techniques for mitigating the effect of this stray anisotropy.