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The shape and velocity of a sliding droplet are computed by solving the Navier-Stokes equation with free interface boundary conditions. The Galerkin finite element method
is implemented in a 2D computation domain discretized using an unstructured mesh with
triangular elements. The mesh is refined recursively at the corners (contact points). The
stationary sliding velocity is found to be strongly dependent on grid refinement, which is
a consequence of the contact line singularity resolved through...
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