WIAS Preprint No. 2016, (2014)
Numerics of thin-film free boundary problems for partial wetting
- Peschka, Dirk
2010 Mathematics Subject Classification
- 76A20 35R35 76M10
- thin films, free boundary problem, numerics
We present a novel framework to solve thin-film equations with an explicit non-zero contact angle, where the support of the solution is treated as an unknown. The algorithm uses a finite element method based on a gradient formulation of the thin-film equations coupled to an arbitrary Lagrangian-Eulerian method for the motion of the support. Features of this algorithm are its simplicity and robustness. We apply this algorithm in 1D and 2D to problems with surface tension, contact angles and with gravity.
- J. Comput. Phys., 295 (2015) pp. 770--778 under the title ``Thin-film free boundary problems for partial wetting''