Upscaled phase-field models for interfacial dynamics in strongly heterogeneous domains
Upscaled phase-field models for interfacial dynamics in strongly heterogeneous domains
复制标题
强异质域中界面动力学的放大相场模型
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
S. Kalliadasis
中科院分区：
文献类型：
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作者：
M. Schmuck;M. Pradas;G. Pavliotis;S. Kalliadasis
我们推导了一个新的、有效的宏观Cahn-Hilliard方程，它的齐次自由能用四次多项式表示，形成了常用的双势垒势。这种扩展适用于穿孔/强异构域。据作者所知，这似乎是第一次在这些领域提升Cahn-Hilliard方程的规模。由于相场模型的广为人知的通用性，新的均化方程应该具有广泛的适用性。此外，还引入了通过均化系统和可靠地计算受限几何的功能，允许在科学和工程中进行新的建模和数值视角。我们的结果适用于多孔介质中的润湿动力学和具有强烈非均质壁面的单一通道。
We derive a new, effective macroscopic Cahn–Hilliard equation whose homogeneous free energy is represented by fourth-order polynomials, which form the frequently applied double-well potential. This upscaling is done for perforated/strongly heterogeneous domains. To the best knowledge of the authors, this seems to be the first attempt of upscaling the Cahn–Hilliard equation in such domains. The new homogenized equation should have a broad range of applicability owing to the well-known versatility of phase-field models. The additionally introduced feature of systematically and reliably accounting for confined geometries by homogenization allows for new modelling and numerical perspectives in both science and engineering. Our results are applied to wetting dynamics in porous media and to a single channel with strongly heterogeneous walls.
DOI：
10.1103/physreve.79.031926
发表时间：
2009-03
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
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作者：
Lowengrub JS;Rätz A;Voigt A
通讯作者：
Voigt A