The wetting of deformable elastic structures has been recently shown to comprise a rich variety of new physical phenomena (stick‐slip motion, durotaxis, Shuttleworth effect, etc.) whose fundamental understanding demands for numerical simulation tools. In this article, we develop a novel unified model and numerical method for this problem. As special features, the method includes exact incompressibility and a linear monolithic assembly of the Navier‐Stokes and Cahn‐Hilliard equations which stabilizes dominant surface tension at small interface lengths. Also, solid viscosity is included which offers the opportunity to simulate the surfing behavior of droplets on viscoelastic substrates for the first time. We show that the method is highly accurate and more robust than most previous approaches and illustrate its potential by numerical simulation examples.

中文翻译：

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柔软基材润湿的统一数值模型

最近已显示出可变形弹性结构的润湿包括许多新的物理现象（粘滑运动，双旋轴，Shuttleworth效应等），其对数值模拟工具的基本理解要求。在本文中，我们针对此问题开发了一种新颖的统一模型和数值方法。作为特殊功能，该方法包括精确的不可压缩性和Navier-Stokes和Cahn-Hilliard方程的线性整体式装配，该结构在较小的界面长度下稳定了主要表面张力。此外，还包括固体粘度，这提供了机会来首次模拟液滴在粘弹性基材上的冲浪行为。