AuthorsS. W. Funke, C. Pain, S. Kramer and M. D. Piggott
TitleA wetting and drying algorithm with a combined pressure/free-surface formulation for non-hydrostatic models
AfilliationScientific Computing, , Scientific Computing
Project(s)Center for Biomedical Computing (SFF)
StatusPublished
Publication TypeJournal Article
Year of Publication2011
JournalAdvances in Water Resources
Volume34
Pagination1483 - 1495
PublisherElsevier
Abstract

A wetting and drying method for free-surface problems for the three-dimensional, non-hydrostatic Navier–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–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.

URLhttp://www.sciencedirect.com/science/article/pii/S0309170811001564
DOI10.1016/j.advwatres.2011.08.007
Citation KeyFunke20111483

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