@article{13575,
  author = {Simon Funke and C.C. Pain and S.C. Kramer and Matthew Piggott},
  title = {A wetting and drying algorithm with a combined pressure/free-surface formulation for non-hydrostatic models},
  abstract = {A wetting and drying method for free-surface problems for the three-dimensional, non-hydrostatic Navier{\^a}{\texteuro}{\textquotedblleft}Stokes equations is proposed. The key idea is to use a horizontally fixed mesh and to apply different boundary conditions on the free-surface in wet and dry zones. In wet areas a combined pressure/free-surface kinematic boundary condition is applied, while in dry areas a positive water level and a no-normal flow boundary condition are enforced. In addition, vertical mesh movement is performed to accurately represent the free-surface motion. Non-physical flow in the remaining thin layer in dry areas is naturally prevented if a Manning{\^a}{\texteuro}{\textquotedblleft}Strickler bottom drag is used. The treatment of the wetting and drying processes applied through the boundary condition yields great flexibility to the discretisation used. Specifically, a fully unstructured mesh with any finite element choice and implicit time discretisation method can be applied. The resulting method is mass conservative, stable and accurate. It is implemented within Fluidity-ICOM [1] and verified against several idealized test cases and a laboratory experiment of the Okushiri tsunami.},
  year = {2011},
  journal = {Advances in Water Resources},
  volume = {34},
  pages = {1483 - 1495},
  publisher = {Elsevier},
  url = {http://www.sciencedirect.com/science/article/pii/S0309170811001564},
  doi = {http://dx.doi.org/10.1016/j.advwatres.2011.08.007},
}