凝固相场模型中的界面稳定和传播:解决大驱动力问题

IF 1.9 4区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY
Murali Uddagiri, Marvin Tegeler, Ingo Steinbach
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引用次数: 0

摘要

重新研究了相场中的一个长期存在的问题,即在模拟中将热力学和毛细管原理与界面传播的数值方面结合起来。讨论的数值方案允许在考虑或排除毛细作用的情况下,对任意驱动力进行稳定模拟。我们重新研究了一种经典的稳定方案,该方案将界面稳定与曲率评估分离开来,确保即使在较大的驱动力下也能进行稳定的模拟。新颖的数学分析给出了对时间步长的严格估计和所需稳定强度的数值。针对不同凝固速度下定向凝固条件下的三维树枝状生长,对所提出的稳定方案进行了基准测试。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Interface stabilization and propagation in phase field models of solidification: resolving the issue of large driving forces
One of the long-standing problems in the phase field, namely, combining the principles of thermodynamics and capillarity with the numerical aspects of interface propagation in simulations, is re-investigated. Numerical schemes are discussed which allow for stable simulations with arbitrary driving forces, considering or excluding capillarity. We re-investigate a classical stabilization scheme that decouples interface stabilization from curvature evaluation, ensuring stable simulations even under large driving forces. A novel mathematical analysis gives a rigorous estimate for the time stepping and a numerical value of the required stabilization strength. The proposed stabilization scheme is benchmarked for three-dimensional dendritic growth under directional solidification conditions for different solidification speeds.
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来源期刊
CiteScore
3.30
自引率
5.60%
发文量
96
审稿时长
1.7 months
期刊介绍: Serving the multidisciplinary materials community, the journal aims to publish new research work that advances the understanding and prediction of material behaviour at scales from atomistic to macroscopic through modelling and simulation. Subject coverage: Modelling and/or simulation across materials science that emphasizes fundamental materials issues advancing the understanding and prediction of material behaviour. Interdisciplinary research that tackles challenging and complex materials problems where the governing phenomena may span different scales of materials behaviour, with an emphasis on the development of quantitative approaches to explain and predict experimental observations. Material processing that advances the fundamental materials science and engineering underpinning the connection between processing and properties. Covering all classes of materials, and mechanical, microstructural, electronic, chemical, biological, and optical properties.
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