非均匀最小分区相场模型及其在液滴动力学中的应用

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2017-01-01 DOI:10.4171/IFB/379

É. Bretin, S. Masnou

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引用次数: 24

摘要

本文提出并分析了一种新的相场模型的推导方法来近似非均匀多相周长。它是在一定嵌入条件下对周长进行适当的分解，不仅可以从表面张力中明确地推导出模型，而且还可以得到Γ-convergence的结果。我们提出了一个简单而稳健的方案来模拟近似能量的梯度流动。我们通过一系列二维和三维的数值模拟来说明我们方法的有效性，我们特别解决了液滴在固定固体上演化的动力学问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A new phase field model for inhomogeneous minimal partitions, and applications to droplets dynamics

We propose and analyze in this paper a new derivation of a phase-field model to approximate inhomogeneous multiphase perimeters. It is based on suitable decompositions of perimeters under some embeddability condition which allows not only an explicit derivation of the model from the surface tensions, but also gives rise to a Γ-convergence result. We propose a simple and robust scheme to simulate the gradient flow of the approximating energy. We illustrate the efficiency of our approach with a series of numerical simulations in 2D and 3D, and we address in particular the dynamics of droplets evolving on a fixed solid.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.