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Wetting on rough surfaces and contact angle hysteresis: numerical experiments based on a phase field model

Alessandro Turco, François Alouges, Antonio DeSimone (2009)

ESAIM: Mathematical Modelling and Numerical Analysis

We present a phase field approach to wetting problems, related to the minimization of capillary energy. We discuss in detail both the Γ-convergence results on which our numerical algorithm are based, and numerical implementation. Two possible choices of boundary conditions, needed to recover Young's law for the contact angle, are presented. We also consider an extension of the classical theory of capillarity, in which the introduction of a dissipation mechanism can explain and predict the hysteresis...

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