This paper tackles the simulation of the wetting phenomenon using a phase field model. To this end, we extend to multiphase the Cahn-Hilliard model with doubly degenerate mobilities we introduced in [17] and we show that this extension still preserves the second order of approximation of the sharp limit. In a second part, we propose a simple and efficient numerical schemes that require only about 60 lines in Matlab. We then provide some numerical experiments illustrating the influence of mobility and surface tension coefficients. Finally, we explain how to apply our phase field model to approximate the wetting of a thin tube on different solid supports.

翻译：本文用一个相位场模型处理湿现象的模拟。 为此,我们将Cahn-Hilliard模型推广到多阶段,我们于[17]年引入了双倍退化的动员,我们证明这一扩展仍然保留了锐利极限的第二近似顺序。在第二部分,我们提出了一个简单而有效的数字方案,只需要在Matlab大约60行。然后我们提供一些数字实验,说明流动性和表面紧张系数的影响。最后,我们解释如何应用我们的相位模型来估计不同固态支撑下薄管的湿度。