The accurate modelling of contact angle properties plays an important role in the simulation of micro flows. We show that computational fluid dynamics (CFD) results of moving contact line problems, however, show a pronounced mesh dependence which is partly inherent to the modelling approach since the (non-integrable) viscous stress divergence at the three-phase contact line is commonly neglected in standard CFD simulations. Moreover, the numerical description of contact angles suffers from artificial diffusion for the used voiume-of-fluid method. Introduction of a macroscopic slip range hi combination with a localised body force close to the contact line turns out to remedy both problems. Considering capillary filling as an example we show that accurate, mesh independent solutions arc obtained already on coarse meshes.
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