Model hierarchies and higher-order discretisation of time-dependent thin-film free boundary problems with dynamic contact angle

@article{Peschka2021ModelHA,
  title={Model hierarchies and higher-order discretisation of time-dependent thin-film free boundary problems with dynamic contact angle},
  author={Dirk Peschka and Luca Heltai},
  journal={ArXiv},
  year={2021},
  volume={abs/2110.06862}
}
We present a mathematical and numerical framework for thin-film fluid flows over planar surfaces including dynamic contact angles. In particular, we provide algorithmic details and an implementation of higher-order spatial and temporal discretisation of the underlying free boundary problem using the finite element method. The corresponding partial differential equation is based on a thermodynamic consistent energetic variational formulation of the problem using the free energy and viscous… 

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