Variational approach to contact line dynamics for thin films
- Peschka, Dirk
2010 Mathematics Subject Classification
- 76A20 35R35 35K65 37D35
- Contact line, thin-film model, gradient flow
This paper investigates a variational approach to viscous flows with contact line dynamics based on energy-dissipation modeling. The corresponding model is reduced to a thin-film equation and its variational structure is also constructed and discussed. Feasibility of this modeling approach is shown by constructing a numerical scheme in 1D and by computing numerical solutions for the problem of gravity driven droplets. Some implications of the contact line model are highlighted in this setting.
- Phys. Fluids, 30 (2018), pp. 082115/1--082115/11, DOI 10.1063/1.5040985 .