Multiphase mean curvature flows with high mobility contrasts: A phase-field approach, with applications to nanowires

JOURNAL OF COMPUTATIONAL PHYSICS

卷:365

Article

Bretin, Elie¹  Danescu, Alexandre²  Penuelas, Jose²  Masnou, Simon³ 

[1] Univ Lyon, INSA Lyon, CNRS, Inst Camille Jordan,UMR 5208, 20 Ave Albert Einstein, F-69621 Villeurbanne, France

[2] Univ Lyon, Ecole Cent Lyon, CNRS, Inst Nanotechnol Lyon,UMR 5270, 36 Av Guy de Collongue, F-69134 Ecully, France

[3] Univ Claude Bernard Lyon 1, Univ Lyon, CNRS, Inst Camille Jordan,UMR 5208, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, France

关键词: Multiphase systems;    Mean curvature flow;    Mobilities;    Phase field;    Droplets wetting;    Nanowires;   

DOI  :  10.1016/j.jcp.2018.02.051

来源: Elsevier

【 摘 要 】

The structure of many multiphase systems is governed by an energy that penalizes the area of interfaces between phases weighted by surface tension coefficients. However, interface evolution laws depend also on interface mobility coefficients. Having in mind some applications where highly contrasted or even degenerate mobilities are involved, for which classical phase field models are inapplicable, we propose a new effective phase field approach to approximate multiphase mean curvature flows with mobilities. The key aspect of our model is to incorporate the mobilities not in the phase field energy (which is conventionally the case) but in the metric which determines the gradient flow. We show the consistency of such an approach by a formal analysis of the sharp interface limit. We also propose an efficient numerical scheme which allows us to illustrate the advantages of the model on various examples, as the wetting of droplets on solid surfaces or the simulation of nanowires growth generated by the so-called vapor-liquid-solid method. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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