A level-set approach for simulations of flows with multiple moving contact lines with hysteresis
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Journal of Computational Physics 207 (2): 389--404 (Aug 10, 2005)

The level-set method of Sussman et al. J. Comput. Phys. 148 (1999) 81 is extended such that flows with multiple moving contact lines can be simulated, accounting for inertia, a relation between contact-line speed and contact angle, slip and contact-line hysteresis. The convergence properties of the method are investigated, with particular attention on the resolution of the contact-line stress singularity. Results are compared with a lubrication theory for spreading droplets.
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